%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU741^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:59 AM UTC 2026 % Result : Theorem 1.33s 1.53s % Output : Proof 1.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU741^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:50:39 EDT 2026 % 0.17/0.35 % CPUTime : % 0.41/0.62 %----Proving TH0 % 1.33/1.53 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.33/1.53 % SZS status Theorem % 1.33/1.53 % SZS output start Proof % 1.33/1.53 ( % 1.33/1.53 (declare-sort $$unsorted 0) % 1.33/1.53 (declare-const tptp.emptyset $$unsorted) % 1.33/1.53 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 1.33/1.53 (declare-const tptp.singleton (-> $$unsorted Bool)) % 1.33/1.53 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.33/1.53 (declare-const tptp.binunionTILcontra Bool) % 1.33/1.53 (declare-const tptp.complementTcontraSubset Bool) % 1.33/1.53 (declare-const tptp.contraSubsetComplement Bool) % 1.33/1.53 (declare-const tptp.complementImpComplementIntersect Bool) % 1.33/1.53 (declare-const tptp.complementTnotintersectT Bool) % 1.33/1.53 (declare-const tptp.doubleComplementSub2 Bool) % 1.33/1.53 (declare-const tptp.doubleComplementSub1 Bool) % 1.33/1.53 (declare-const tptp.contrasubsetT2 Bool) % 1.33/1.53 (declare-const tptp.contrasubsetT1 Bool) % 1.33/1.53 (declare-const tptp.contrasubsetT Bool) % 1.33/1.53 (declare-const tptp.binintersectTELcontra Bool) % 1.33/1.53 (declare-const tptp.complementTI1 Bool) % 1.33/1.53 (declare-const tptp.powersetTE1 Bool) % 1.33/1.53 (declare-const tptp.powersetTI1 Bool) % 1.33/1.53 (declare-const tptp.subsetTI Bool) % 1.33/1.53 (declare-const tptp.binintersectER Bool) % 1.33/1.53 (declare-const tptp.setext Bool) % 1.33/1.53 (declare-const tptp.dpsetconstrER Bool) % 1.33/1.53 (declare-const tptp.binintersectSubset2 Bool) % 1.33/1.53 (declare-const tptp.binintersectEL Bool) % 1.33/1.53 (declare-const tptp.eta1 Bool) % 1.33/1.53 (declare-const tptp.exuI1 Bool) % 1.33/1.53 (declare-const tptp.binunionEcases Bool) % 1.33/1.53 (declare-const tptp.descrp Bool) % 1.33/1.53 (declare-const tptp.cartprodpairsurjEq Bool) % 1.33/1.53 (declare-const tptp.binunionIR Bool) % 1.33/1.53 (declare-const tptp.binunionIL Bool) % 1.33/1.53 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.setbeta Bool) % 1.33/1.53 (declare-const tptp.setextsub Bool) % 1.33/1.53 (declare-const tptp.singletonsubset Bool) % 1.33/1.53 (declare-const tptp.doubleComplementEq Bool) % 1.33/1.53 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.setadjoinSub2 Bool) % 1.33/1.53 (declare-const tptp.kpairiskpair Bool) % 1.33/1.53 (declare-const tptp.setadjoinSub Bool) % 1.33/1.53 (declare-const tptp.notequalI2 Bool) % 1.33/1.53 (declare-const tptp.emptysetsubset Bool) % 1.33/1.53 (declare-const tptp.omega0Ax Bool) % 1.33/1.53 (declare-const tptp.symdiffE Bool) % 1.33/1.53 (declare-const tptp.cartprodfstin Bool) % 1.33/1.53 (declare-const tptp.iftrueorfalse Bool) % 1.33/1.53 (declare-const tptp.powerset__Cong Bool) % 1.33/1.53 (declare-const tptp.setextAx Bool) % 1.33/1.53 (declare-const tptp.nonemptyE1 Bool) % 1.33/1.53 (declare-const tptp.binintersectRsub Bool) % 1.33/1.53 (declare-const tptp.emptyset__Cong Bool) % 1.33/1.53 (declare-const tptp.setadjoin__Cong Bool) % 1.33/1.53 (declare-const tptp.iffalseProp2 Bool) % 1.33/1.53 (declare-const tptp.binintersectSubset3 Bool) % 1.33/1.53 (declare-const tptp.exuE3e Bool) % 1.33/1.53 (declare-const tptp.quantDeMorgan3 Bool) % 1.33/1.53 (declare-const tptp.eta2 Bool) % 1.33/1.53 (declare-const tptp.exu__Cong Bool) % 1.33/1.53 (declare-const tptp.in__Cong Bool) % 1.33/1.53 (declare-const tptp.inCongP Bool) % 1.33/1.53 (declare-const tptp.setunionsingleton2 Bool) % 1.33/1.53 (declare-const tptp.exuI3 Bool) % 1.33/1.53 (declare-const tptp.subsetE Bool) % 1.33/1.53 (declare-const tptp.setukpairinjL2 Bool) % 1.33/1.53 (declare-const tptp.binintersectT_lem Bool) % 1.33/1.53 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 1.33/1.53 (declare-const tptp.sepSubset Bool) % 1.33/1.53 (declare-const tptp.cartprodmempaircEq Bool) % 1.33/1.53 (declare-const tptp.setminusSubset2 Bool) % 1.33/1.53 (declare-const tptp.ap2p Bool) % 1.33/1.53 (declare-const tptp.quantDeMorgan1 Bool) % 1.33/1.53 (declare-const tptp.ubforcartprodlem1 Bool) % 1.33/1.53 (declare-const tptp.sepInPowerset Bool) % 1.33/1.53 (declare-const tptp.vacuousDall Bool) % 1.33/1.53 (declare-const tptp.inPowerset Bool) % 1.33/1.53 (declare-const tptp.upairset2E Bool) % 1.33/1.53 (declare-const tptp.cartprodsndin Bool) % 1.33/1.53 (declare-const tptp.emptyE1 Bool) % 1.33/1.53 (declare-const tptp.subbreln Bool) % 1.33/1.53 (declare-const tptp.notequalI1 Bool) % 1.33/1.53 (declare-const tptp.symdiffIneg1 Bool) % 1.33/1.53 (declare-const tptp.binunionT_lem Bool) % 1.33/1.53 (declare-const tptp.complementInPowersetComplementIntersect Bool) % 1.33/1.53 (declare-const tptp.emptysetE Bool) % 1.33/1.53 (declare-const tptp.omega__Cong Bool) % 1.33/1.53 (declare-const tptp.ifSingleton Bool) % 1.33/1.53 (declare-const tptp.setadjoinIL Bool) % 1.33/1.53 (declare-const tptp.exuEu Bool) % 1.33/1.53 (declare-const tptp.complementSubsetComplementIntersect Bool) % 1.33/1.53 (declare-const tptp.prop2setE Bool) % 1.33/1.53 (declare-const tptp.exuI2 Bool) % 1.33/1.53 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 1.33/1.53 (declare-const tptp.binintersectLsub Bool) % 1.33/1.53 (declare-const tptp.nonemptyImpWitness Bool) % 1.33/1.53 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 1.33/1.53 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 1.33/1.53 (declare-const tptp.replAx Bool) % 1.33/1.53 (declare-const tptp.upairinpowunion Bool) % 1.33/1.53 (declare-const tptp.upairsetE Bool) % 1.33/1.53 (declare-const tptp.binunionLsub Bool) % 1.33/1.53 (declare-const tptp.prop2set2propI Bool) % 1.33/1.53 (declare-const tptp.dsetconstrEL Bool) % 1.33/1.53 (declare-const tptp.emptyinPowerset Bool) % 1.33/1.53 (declare-const tptp.setadjoinIR Bool) % 1.33/1.53 (declare-const tptp.setminusSubset1 Bool) % 1.33/1.53 (declare-const tptp.dsetconstr__Cong Bool) % 1.33/1.53 (declare-const tptp.kfstpairEq Bool) % 1.33/1.53 (declare-const tptp.complementT_lem Bool) % 1.33/1.53 (declare-const tptp.subsetTrans Bool) % 1.33/1.53 (declare-const tptp.setukpairIL Bool) % 1.33/1.53 (declare-const tptp.uniqinunit Bool) % 1.33/1.53 (declare-const tptp.foundationAx Bool) % 1.33/1.53 (declare-const tptp.notsubsetI Bool) % 1.33/1.53 (declare-const tptp.upairequniteq Bool) % 1.33/1.53 (declare-const tptp.funcGraphProp3 Bool) % 1.33/1.53 (declare-const tptp.binintersectSubset4 Bool) % 1.33/1.53 (declare-const tptp.emptysetimpfalse Bool) % 1.33/1.53 (declare-const tptp.subsetRefl Bool) % 1.33/1.53 (declare-const tptp.powersetT_lem Bool) % 1.33/1.53 (declare-const tptp.beta2 Bool) % 1.33/1.53 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.exuE2 Bool) % 1.33/1.53 (declare-const tptp.subsetI2 Bool) % 1.33/1.53 (declare-const tptp.setukpairinjR11 Bool) % 1.33/1.53 (declare-const tptp.powersetsubset Bool) % 1.33/1.53 (declare-const tptp.eqimpsubset2 Bool) % 1.33/1.53 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.setminusLsub Bool) % 1.33/1.53 (declare-const tptp.emptyinunitempty Bool) % 1.33/1.53 (declare-const tptp.doubleComplementE1 Bool) % 1.33/1.53 (declare-const tptp.binunionRsub Bool) % 1.33/1.53 (declare-const tptp.cartprodmempair1 Bool) % 1.33/1.53 (declare-const tptp.notdallE Bool) % 1.33/1.53 (declare-const tptp.dsetconstrER Bool) % 1.33/1.53 (declare-const tptp.ap2apEq2 Bool) % 1.33/1.53 (declare-const tptp.doubleComplementI1 Bool) % 1.33/1.53 (declare-const tptp.binunionE Bool) % 1.33/1.53 (declare-const tptp.cartprodpairin Bool) % 1.33/1.53 (declare-const tptp.funcext2 Bool) % 1.33/1.53 (declare-const tptp.eqimpsubset1 Bool) % 1.33/1.53 (declare-const tptp.emptyInPowerset Bool) % 1.33/1.53 (declare-const tptp.setadjoinAx Bool) % 1.33/1.53 (declare-const tptp.exuE3u Bool) % 1.33/1.53 (declare-const tptp.ifp Bool) % 1.33/1.53 (declare-const tptp.subsetemptysetimpeq Bool) % 1.33/1.53 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.setextT Bool) % 1.33/1.53 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.theeq Bool) % 1.33/1.53 (declare-const tptp.setminusELneg Bool) % 1.33/1.53 (declare-const tptp.powersetE Bool) % 1.33/1.53 (declare-const tptp.omegaSAx Bool) % 1.33/1.53 (declare-const tptp.lam2p Bool) % 1.33/1.53 (declare-const tptp.upairset2IR Bool) % 1.33/1.53 (declare-const tptp.wellorderingAx Bool) % 1.33/1.53 (declare-const tptp.cartprodsndpairEq Bool) % 1.33/1.53 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.setoftrueEq Bool) % 1.33/1.53 (declare-const tptp.setunionAx Bool) % 1.33/1.53 (declare-const tptp.omegaIndAx Bool) % 1.33/1.53 (declare-const tptp.setunionE Bool) % 1.33/1.53 (declare-const tptp.emptyI Bool) % 1.33/1.53 (declare-const tptp.noeltsimpempty Bool) % 1.33/1.53 (declare-const tptp.binunionTIRcontra Bool) % 1.33/1.53 (declare-const tptp.setminusER Bool) % 1.33/1.53 (declare-const tptp.kpairp Bool) % 1.33/1.53 (declare-const tptp.powersetI1 Bool) % 1.33/1.53 (declare-const tptp.upairsetIL Bool) % 1.33/1.53 (declare-const tptp.nonemptyI Bool) % 1.33/1.53 (declare-const tptp.subsetI1 Bool) % 1.33/1.53 (declare-const tptp.emptysetAx Bool) % 1.33/1.53 (declare-const tptp.iftrue Bool) % 1.33/1.53 (declare-const tptp.singletonsuniq Bool) % 1.33/1.53 (declare-const tptp.nonemptyI1 Bool) % 1.33/1.53 (declare-const tptp.descr__Cong Bool) % 1.33/1.53 (declare-const tptp.setminusEL Bool) % 1.33/1.53 (declare-const tptp.infuncsetfunc Bool) % 1.33/1.53 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.setadjoinE Bool) % 1.33/1.53 (declare-const tptp.funcinfuncset Bool) % 1.33/1.53 (declare-const tptp.setunionsingleton1 Bool) % 1.33/1.53 (declare-const tptp.notdexE Bool) % 1.33/1.53 (declare-const tptp.setunionI Bool) % 1.33/1.53 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.exuE1 Bool) % 1.33/1.53 (declare-const tptp.binintersectSubset5 Bool) % 1.33/1.53 (declare-const tptp.subPowSU Bool) % 1.33/1.53 (declare-const tptp.complementTE1 Bool) % 1.33/1.53 (declare-const tptp.subset2powerset Bool) % 1.33/1.53 (declare-const tptp.singletonsswitch Bool) % 1.33/1.53 (declare-const tptp.powersetE1 Bool) % 1.33/1.53 (declare-const tptp.setunion__Cong Bool) % 1.33/1.53 (declare-const tptp.funcGraphProp4 Bool) % 1.33/1.53 (declare-const tptp.notinemptyset Bool) % 1.33/1.53 (declare-const tptp.binintersectSubset1 Bool) % 1.33/1.53 (declare-const tptp.if (-> $$unsorted Bool $$unsorted $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.ex1E1 Bool) % 1.33/1.53 (declare-const tptp.apProp Bool) % 1.33/1.53 (declare-const tptp.bs114d Bool) % 1.33/1.53 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.setminusI Bool) % 1.33/1.53 (declare-const tptp.ex1I2 Bool) % 1.33/1.53 (declare-const tptp.inIntersectImpInUnion Bool) % 1.33/1.53 (declare-const tptp.setminusERneg Bool) % 1.33/1.53 (declare-const tptp.setminusILneg Bool) % 1.33/1.53 (declare-const tptp.setminusIRneg Bool) % 1.33/1.53 (declare-const tptp.theprop Bool) % 1.33/1.53 (declare-const tptp.symdiffI1 Bool) % 1.33/1.53 (declare-const tptp.powersetI Bool) % 1.33/1.53 (declare-const tptp.symdiffI2 Bool) % 1.33/1.53 (declare-const tptp.symdiffIneg2 Bool) % 1.33/1.53 (declare-const tptp.brelnall2 Bool) % 1.33/1.53 (declare-const tptp.secondinupair Bool) % 1.33/1.53 (declare-const tptp.setadjoinOr Bool) % 1.33/1.53 (declare-const tptp.funcGraphProp1 Bool) % 1.33/1.53 (declare-const tptp.setukpairIR Bool) % 1.33/1.53 (declare-const tptp.singletoninpowerset Bool) % 1.33/1.53 (declare-const tptp.ksndpairEq Bool) % 1.33/1.53 (declare-const tptp.eqbreln Bool) % 1.33/1.53 (declare-const tptp.notinsingleton Bool) % 1.33/1.53 (declare-const tptp.singletoninpowunion Bool) % 1.33/1.53 (declare-const tptp.eqinunit Bool) % 1.33/1.53 (declare-const tptp.upairsubunion Bool) % 1.33/1.53 (declare-const tptp.upairsetIR Bool) % 1.33/1.53 (declare-const tptp.ubforcartprodlem2 Bool) % 1.33/1.53 (declare-const tptp.beta1 Bool) % 1.33/1.53 (declare-const tptp.ubforcartprodlem3 Bool) % 1.33/1.53 (declare-const tptp.funcext Bool) % 1.33/1.53 (declare-const tptp.cartprodmempair Bool) % 1.33/1.53 (declare-const tptp.prop2setI Bool) % 1.33/1.53 (declare-const tptp.setunionE2 Bool) % 1.33/1.53 (declare-const tptp.setunionsingleton Bool) % 1.33/1.53 (declare-const tptp.quantDeMorgan4 Bool) % 1.33/1.53 (declare-const tptp.iffalseProp1 Bool) % 1.33/1.53 (declare-const tptp.singletonprop Bool) % 1.33/1.53 (declare-const tptp.dsetconstrI Bool) % 1.33/1.53 (declare-const tptp.funcImageSingleton Bool) % 1.33/1.53 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.33/1.53 (declare-const tptp.ex1I Bool) % 1.33/1.53 (declare-const tptp.setukpairinjL1 Bool) % 1.33/1.53 (declare-const tptp.kfstsingleton Bool) % 1.33/1.53 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.setukpairinjL Bool) % 1.33/1.53 (declare-const tptp.powersetAx Bool) % 1.33/1.53 (declare-const tptp.setukpairinjR12 Bool) % 1.33/1.53 (declare-const tptp.subsetE2 Bool) % 1.33/1.53 (declare-const tptp.setukpairinjR1 Bool) % 1.33/1.53 (declare-const tptp.setukpairinjR2 Bool) % 1.33/1.53 (declare-const tptp.omega $$unsorted) % 1.33/1.53 (declare-const tptp.setukpairinjR Bool) % 1.33/1.53 (declare-const tptp.ksndsingleton Bool) % 1.33/1.53 (declare-const tptp.kpairsurjEq Bool) % 1.33/1.53 (declare-const tptp.cartprodpairmemEL Bool) % 1.33/1.53 (declare-const tptp.cartprodpairmemER Bool) % 1.33/1.53 (declare-const tptp.binintersectTERcontra Bool) % 1.33/1.53 (declare-const tptp.cartprodfstpairEq Bool) % 1.33/1.53 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 1.33/1.53 (declare-const tptp.dpsetconstrI Bool) % 1.33/1.53 (declare-const tptp.contrasubsetT3 Bool) % 1.33/1.53 (declare-const tptp.dpsetconstrSub Bool) % 1.33/1.53 (declare-const tptp.setOfPairsIsBReln Bool) % 1.33/1.53 (declare-const tptp.dpsetconstrERa Bool) % 1.33/1.53 (declare-const tptp.binintersectI Bool) % 1.33/1.53 (declare-const tptp.dpsetconstrEL1 Bool) % 1.33/1.53 (declare-const tptp.dpsetconstrEL2 Bool) % 1.33/1.53 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.53 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.53 (declare-const tptp.disjointsetsI1 Bool) % 1.33/1.53 (declare-const tptp.app Bool) % 1.33/1.53 (declare-const tptp.iftrueProp2 Bool) % 1.33/1.53 (declare-const tptp.lamProp Bool) % 1.33/1.53 (declare-const tptp.lam (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 1.33/1.53 (declare-const tptp.iffalse Bool) % 1.33/1.53 (declare-const tptp.lamp Bool) % 1.33/1.53 (declare-const tptp.brelnall1 Bool) % 1.33/1.53 (declare-const tptp.ex1E2 Bool) % 1.33/1.53 (declare-const tptp.funcGraphProp2 Bool) % 1.33/1.53 (declare-const tptp.funcextLem Bool) % 1.33/1.53 (declare-const tptp.ap2apEq1 Bool) % 1.33/1.53 (declare-const tptp.quantDeMorgan2 Bool) % 1.33/1.53 (declare-const tptp.lam2lamEq Bool) % 1.33/1.53 (declare-const tptp.iftrueProp1 Bool) % 1.33/1.53 (declare-const tptp.setminusT_lem Bool) % 1.33/1.53 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 1.33/1.53 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 1.33/1.53 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 1.33/1.53 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) % 1.33/1.53 (define @t1 () (@var "B" $$unsorted)) % 1.33/1.53 (define @t2 () (@var "A" $$unsorted)) % 1.33/1.53 (define @t3 () (= @t2 @t1)) % 1.33/1.53 (define @t4 () (@var "Xx" $$unsorted)) % 1.33/1.53 (define @t5 () (_ tptp.in @t4)) % 1.33/1.53 (define @t6 () (_ @t5 @t1)) % 1.33/1.53 (define @t7 () (_ @t5 @t2)) % 1.33/1.53 (define @t8 () (= @t7 @t6)) % 1.33/1.53 (define @t9 () (@list @t4)) % 1.33/1.53 (define @t10 () (forall @t9 @t8)) % 1.33/1.53 (define @t11 () (=> @t10 @t3)) % 1.33/1.53 (define @t12 () (@list @t2 @t1)) % 1.33/1.53 (define @t13 () (forall @t12 @t11)) % 1.33/1.53 (define @t14 () (= tptp.setextAx @t13)) % 1.33/1.53 (define @t15 () (_ @t5 tptp.emptyset)) % 1.33/1.53 (define @t16 () (not @t15)) % 1.33/1.53 (define @t17 () (forall @t9 @t16)) % 1.33/1.53 (define @t18 () (= tptp.emptysetAx @t17)) % 1.33/1.53 (define @t19 () (@var "Xy" $$unsorted)) % 1.33/1.53 (define @t20 () (_ tptp.in @t19)) % 1.33/1.53 (define @t21 () (_ @t20 @t2)) % 1.33/1.53 (define @t22 () (= @t19 @t4)) % 1.33/1.53 (define @t23 () (or @t22 @t21)) % 1.33/1.53 (define @t24 () (_ tptp.setadjoin @t4)) % 1.33/1.53 (define @t25 () (_ @t24 @t2)) % 1.33/1.53 (define @t26 () (_ @t20 @t25)) % 1.33/1.53 (define @t27 () (= @t26 @t23)) % 1.33/1.53 (define @t28 () (@list @t4 @t2 @t19)) % 1.33/1.53 (define @t29 () (forall @t28 @t27)) % 1.33/1.53 (define @t30 () (= tptp.setadjoinAx @t29)) % 1.33/1.53 (define @t31 () (=> @t6 @t7)) % 1.33/1.53 (define @t32 () (forall @t9 @t31)) % 1.33/1.53 (define @t33 () (_ tptp.powerset @t2)) % 1.33/1.53 (define @t34 () (_ tptp.in @t1)) % 1.33/1.53 (define @t35 () (_ @t34 @t33)) % 1.33/1.53 (define @t36 () (= @t35 @t32)) % 1.33/1.53 (define @t37 () (forall @t12 @t36)) % 1.33/1.53 (define @t38 () (= tptp.powersetAx @t37)) % 1.33/1.53 (define @t39 () (_ @t34 @t2)) % 1.33/1.53 (define @t40 () (and @t6 @t39)) % 1.33/1.53 (define @t41 () (@list @t1)) % 1.33/1.53 (define @t42 () (exists @t41 @t40)) % 1.33/1.53 (define @t43 () (_ tptp.setunion @t2)) % 1.33/1.53 (define @t44 () (_ @t5 @t43)) % 1.33/1.53 (define @t45 () (= @t44 @t42)) % 1.33/1.53 (define @t46 () (@list @t2 @t4)) % 1.33/1.53 (define @t47 () (forall @t46 @t45)) % 1.33/1.53 (define @t48 () (= tptp.setunionAx @t47)) % 1.33/1.53 (define @t49 () (_ tptp.in tptp.emptyset)) % 1.33/1.53 (define @t50 () (_ @t49 tptp.omega)) % 1.33/1.53 (define @t51 () (_ @t24 @t4)) % 1.33/1.53 (define @t52 () (_ tptp.in @t51)) % 1.33/1.53 (define @t53 () (_ @t52 tptp.omega)) % 1.33/1.53 (define @t54 () (_ @t5 tptp.omega)) % 1.33/1.53 (define @t55 () (forall @t9 (=> @t54 @t53))) % 1.33/1.53 (define @t56 () (= tptp.omegaSAx @t55)) % 1.33/1.53 (define @t57 () (forall @t9 (=> @t54 @t7))) % 1.33/1.53 (define @t58 () (_ @t52 @t2)) % 1.33/1.53 (define @t59 () (and @t54 @t7)) % 1.33/1.53 (define @t60 () (forall @t9 (=> @t59 @t58))) % 1.33/1.53 (define @t61 () (_ @t49 @t2)) % 1.33/1.53 (define @t62 () (and @t61 @t60)) % 1.33/1.53 (define @t63 () (=> @t62 @t57)) % 1.33/1.53 (define @t64 () (@list @t2)) % 1.33/1.53 (define @t65 () (forall @t64 @t63)) % 1.33/1.53 (define @t66 () (= tptp.omegaIndAx @t65)) % 1.33/1.53 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 1.33/1.53 (define @t68 () (_ (_ @t67 @t19) @t4)) % 1.33/1.53 (define @t69 () (and @t21 @t68)) % 1.33/1.53 (define @t70 () (@list @t19)) % 1.33/1.53 (define @t71 () (exists @t70 @t69)) % 1.33/1.53 (define @t72 () (= @t6 @t71)) % 1.33/1.53 (define @t73 () (forall @t9 @t72)) % 1.33/1.53 (define @t74 () (exists @t41 @t73)) % 1.33/1.53 (define @t75 () (_ @t67 @t4)) % 1.33/1.53 (define @t76 () (_ @t75 @t19)) % 1.33/1.53 (define @t77 () (lambda @t70 @t76)) % 1.33/1.53 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 1.33/1.53 (define @t79 () (forall @t9 @t78)) % 1.33/1.53 (define @t80 () (=> @t79 @t74)) % 1.33/1.53 (define @t81 () (@list @t67 @t2)) % 1.33/1.53 (define @t82 () (forall @t81 @t80)) % 1.33/1.53 (define @t83 () (= tptp.replAx @t82)) % 1.33/1.53 (define @t84 () (and @t6 @t7)) % 1.33/1.53 (define @t85 () (exists @t9 @t84)) % 1.33/1.53 (define @t86 () (not @t85)) % 1.33/1.53 (define @t87 () (and @t39 @t86)) % 1.33/1.53 (define @t88 () (exists @t41 @t87)) % 1.33/1.53 (define @t89 () (exists @t9 @t7)) % 1.33/1.53 (define @t90 () (=> @t89 @t88)) % 1.33/1.53 (define @t91 () (forall @t64 @t90)) % 1.33/1.53 (define @t92 () (= tptp.foundationAx @t91)) % 1.33/1.53 (define @t93 () (@var "E" $$unsorted)) % 1.33/1.53 (define @t94 () (_ @t5 @t93)) % 1.33/1.53 (define @t95 () (@var "D" $$unsorted)) % 1.33/1.53 (define @t96 () (_ @t20 @t95)) % 1.33/1.53 (define @t97 () (_ @t20 @t93)) % 1.33/1.53 (define @t98 () (forall @t70 (=> @t97 @t96))) % 1.33/1.53 (define @t99 () (or @t98 @t94)) % 1.33/1.53 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 1.33/1.53 (define @t101 () (=> @t100 @t99)) % 1.33/1.53 (define @t102 () (@list @t93)) % 1.33/1.53 (define @t103 () (forall @t102 @t101)) % 1.33/1.53 (define @t104 () (@var "C" $$unsorted)) % 1.33/1.53 (define @t105 () (_ @t20 @t104)) % 1.33/1.53 (define @t106 () (and @t96 @t105)) % 1.33/1.53 (define @t107 () (exists @t70 @t106)) % 1.33/1.53 (define @t108 () (not @t107)) % 1.33/1.53 (define @t109 () (_ @t5 @t104)) % 1.33/1.53 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 1.33/1.53 (define @t111 () (and @t110 @t109 @t108 @t103)) % 1.33/1.53 (define @t112 () (@list @t95 @t4)) % 1.33/1.53 (define @t113 () (exists @t112 @t111)) % 1.33/1.53 (define @t114 () (exists @t9 @t109)) % 1.33/1.53 (define @t115 () (forall @t9 (=> @t109 @t7))) % 1.33/1.53 (define @t116 () (and @t115 @t114)) % 1.33/1.53 (define @t117 () (=> @t116 @t113)) % 1.33/1.53 (define @t118 () (@list @t104)) % 1.33/1.53 (define @t119 () (forall @t118 @t117)) % 1.33/1.53 (define @t120 () (_ @t5 @t95)) % 1.33/1.53 (define @t121 () (forall @t9 (=> @t120 @t109))) % 1.33/1.53 (define @t122 () (forall @t9 (=> @t109 @t120))) % 1.33/1.53 (define @t123 () (or @t122 @t121)) % 1.33/1.53 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 1.33/1.53 (define @t125 () (and @t124 @t110)) % 1.33/1.53 (define @t126 () (=> @t125 @t123)) % 1.33/1.53 (define @t127 () (@list @t104 @t95)) % 1.33/1.53 (define @t128 () (forall @t127 @t126)) % 1.33/1.53 (define @t129 () (= @t4 @t19)) % 1.33/1.53 (define @t130 () (= @t109 @t105)) % 1.33/1.53 (define @t131 () (forall @t118 (=> @t124 @t130))) % 1.33/1.53 (define @t132 () (=> @t131 @t129)) % 1.33/1.53 (define @t133 () (and @t7 @t21)) % 1.33/1.53 (define @t134 () (=> @t133 @t132)) % 1.33/1.53 (define @t135 () (@list @t4 @t19)) % 1.33/1.53 (define @t136 () (forall @t135 @t134)) % 1.33/1.53 (define @t137 () (=> @t124 @t115)) % 1.33/1.53 (define @t138 () (forall @t118 @t137)) % 1.33/1.53 (define @t139 () (and @t138 @t136 @t128 @t119)) % 1.33/1.53 (define @t140 () (exists @t41 @t139)) % 1.33/1.53 (define @t141 () (forall @t64 @t140)) % 1.33/1.53 (define @t142 () (= tptp.wellorderingAx @t141)) % 1.33/1.53 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 1.33/1.53 (define @t144 () (_ @t143 @t4)) % 1.33/1.53 (define @t145 () (lambda @t9 @t144)) % 1.33/1.53 (define @t146 () (_ tptp.descr @t145)) % 1.33/1.53 (define @t147 () (_ @t143 @t146)) % 1.33/1.53 (define @t148 () (_ tptp.exu @t145)) % 1.33/1.53 (define @t149 () (=> @t148 @t147)) % 1.33/1.53 (define @t150 () (@list @t143)) % 1.33/1.53 (define @t151 () (forall @t150 @t149)) % 1.33/1.53 (define @t152 () (= tptp.descrp @t151)) % 1.33/1.53 (define @t153 () (_ @t143 @t19)) % 1.33/1.53 (define @t154 () (lambda @t70 @t153)) % 1.33/1.53 (define @t155 () (_ tptp.dsetconstr @t2)) % 1.33/1.53 (define @t156 () (_ @t155 @t154)) % 1.33/1.53 (define @t157 () (_ @t5 @t156)) % 1.33/1.53 (define @t158 () (=> @t144 @t157)) % 1.33/1.53 (define @t159 () (@list @t2 @t143 @t4)) % 1.33/1.53 (define @t160 () (forall @t159 (=> @t7 @t158))) % 1.33/1.53 (define @t161 () (= tptp.dsetconstrI @t160)) % 1.33/1.53 (define @t162 () (forall @t159 (=> @t157 @t7))) % 1.33/1.53 (define @t163 () (= tptp.dsetconstrEL @t162)) % 1.33/1.53 (define @t164 () (forall @t159 (=> @t157 @t144))) % 1.33/1.53 (define @t165 () (= tptp.dsetconstrER @t164)) % 1.33/1.53 (define @t166 () (=> @t153 @t129)) % 1.33/1.53 (define @t167 () (forall @t70 @t166)) % 1.33/1.53 (define @t168 () (and @t144 @t167)) % 1.33/1.53 (define @t169 () (exists @t9 @t168)) % 1.33/1.53 (define @t170 () (=> @t148 @t169)) % 1.33/1.53 (define @t171 () (forall @t150 @t170)) % 1.33/1.53 (define @t172 () (= tptp.exuE1 @t171)) % 1.33/1.53 (define @t173 () (@var "Xphi" Bool)) % 1.33/1.53 (define @t174 () (_ tptp.prop2set @t173)) % 1.33/1.53 (define @t175 () (_ @t5 @t174)) % 1.33/1.53 (define @t176 () (@list @t173 @t4)) % 1.33/1.53 (define @t177 () (forall @t176 (=> @t175 @t173))) % 1.33/1.53 (define @t178 () (= tptp.prop2setE @t177)) % 1.33/1.53 (define @t179 () (@list @t173)) % 1.33/1.53 (define @t180 () (forall @t179 @t173)) % 1.33/1.53 (define @t181 () (=> @t15 @t180)) % 1.33/1.53 (define @t182 () (forall @t9 @t181)) % 1.33/1.53 (define @t183 () (= tptp.emptysetE @t182)) % 1.33/1.53 (define @t184 () (forall @t9 (=> @t15 false))) % 1.33/1.53 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 1.33/1.53 (define @t186 () (exists @t9 @t144)) % 1.33/1.53 (define @t187 () (=> @t148 @t186)) % 1.33/1.53 (define @t188 () (forall @t150 @t187)) % 1.33/1.53 (define @t189 () (= tptp.exuE3e @t188)) % 1.33/1.53 (define @t190 () (=> @t32 @t3)) % 1.33/1.53 (define @t191 () (=> @t7 @t6)) % 1.33/1.53 (define @t192 () (forall @t9 @t191)) % 1.33/1.53 (define @t193 () (=> @t192 @t190)) % 1.33/1.53 (define @t194 () (forall @t12 @t193)) % 1.33/1.53 (define @t195 () (= tptp.setext @t194)) % 1.33/1.53 (define @t196 () (= @t2 tptp.emptyset)) % 1.33/1.53 (define @t197 () (not @t7)) % 1.33/1.53 (define @t198 () (forall @t9 @t197)) % 1.33/1.53 (define @t199 () (=> @t198 @t196)) % 1.33/1.53 (define @t200 () (forall @t64 @t199)) % 1.33/1.53 (define @t201 () (= tptp.emptyI @t200)) % 1.33/1.53 (define @t202 () (=> @t7 (= @t157 @t144))) % 1.33/1.53 (define @t203 () (forall @t159 @t202)) % 1.33/1.53 (define @t204 () (= tptp.setbeta @t203)) % 1.33/1.53 (define @t205 () (_ tptp.nonempty @t2)) % 1.33/1.53 (define @t206 () (=> @t205 @t89)) % 1.33/1.53 (define @t207 () (forall @t64 @t206)) % 1.33/1.53 (define @t208 () (= tptp.nonemptyE1 @t207)) % 1.33/1.53 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 1.33/1.53 (define @t210 () (=> @t7 @t209)) % 1.33/1.53 (define @t211 () (forall @t159 @t210)) % 1.33/1.53 (define @t212 () (= tptp.nonemptyI @t211)) % 1.33/1.53 (define @t213 () (=> @t89 @t205)) % 1.33/1.53 (define @t214 () (forall @t64 @t213)) % 1.33/1.53 (define @t215 () (= tptp.nonemptyI1 @t214)) % 1.33/1.53 (define @t216 () (_ @t24 @t19)) % 1.33/1.53 (define @t217 () (_ @t5 @t216)) % 1.33/1.53 (define @t218 () (forall @t135 @t217)) % 1.33/1.53 (define @t219 () (= tptp.setadjoinIL @t218)) % 1.33/1.53 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 1.33/1.53 (define @t221 () (_ @t49 @t220)) % 1.33/1.53 (define @t222 () (forall @t28 (=> @t21 @t26))) % 1.33/1.53 (define @t223 () (= tptp.setadjoinIR @t222)) % 1.33/1.53 (define @t224 () (=> @t21 @t173)) % 1.33/1.53 (define @t225 () (=> @t224 @t173)) % 1.33/1.53 (define @t226 () (=> @t22 @t173)) % 1.33/1.53 (define @t227 () (=> @t226 @t225)) % 1.33/1.53 (define @t228 () (forall @t179 @t227)) % 1.33/1.53 (define @t229 () (=> @t26 @t228)) % 1.33/1.53 (define @t230 () (forall @t28 @t229)) % 1.33/1.53 (define @t231 () (= tptp.setadjoinE @t230)) % 1.33/1.53 (define @t232 () (=> @t26 @t23)) % 1.33/1.53 (define @t233 () (forall @t28 @t232)) % 1.33/1.53 (define @t234 () (= tptp.setadjoinOr @t233)) % 1.33/1.53 (define @t235 () (lambda @t9 true)) % 1.33/1.53 (define @t236 () (= (_ @t155 @t235) @t2)) % 1.33/1.53 (define @t237 () (forall @t64 @t236)) % 1.33/1.53 (define @t238 () (= tptp.setoftrueEq @t237)) % 1.33/1.53 (define @t239 () (=> @t32 @t35)) % 1.33/1.53 (define @t240 () (forall @t12 @t239)) % 1.33/1.53 (define @t241 () (= tptp.powersetI @t240)) % 1.33/1.53 (define @t242 () (_ @t49 @t33)) % 1.33/1.53 (define @t243 () (forall @t64 @t242)) % 1.33/1.53 (define @t244 () (= tptp.emptyinPowerset @t243)) % 1.33/1.53 (define @t245 () (@list @t2 @t1 @t4)) % 1.33/1.53 (define @t246 () (forall @t245 (=> @t35 @t31))) % 1.33/1.53 (define @t247 () (= tptp.powersetE @t246)) % 1.33/1.53 (define @t248 () (=> @t39 @t44)) % 1.33/1.53 (define @t249 () (@list @t2 @t4 @t1)) % 1.33/1.53 (define @t250 () (forall @t249 (=> @t6 @t248))) % 1.33/1.53 (define @t251 () (= tptp.setunionI @t250)) % 1.33/1.53 (define @t252 () (=> @t39 @t173)) % 1.33/1.53 (define @t253 () (forall @t41 (=> @t6 @t252))) % 1.33/1.53 (define @t254 () (=> @t253 @t173)) % 1.33/1.53 (define @t255 () (forall @t179 @t254)) % 1.33/1.53 (define @t256 () (=> @t44 @t255)) % 1.33/1.53 (define @t257 () (forall @t46 @t256)) % 1.33/1.53 (define @t258 () (= tptp.setunionE @t257)) % 1.33/1.53 (define @t259 () (_ tptp.powerset @t43)) % 1.33/1.53 (define @t260 () (_ @t5 @t259)) % 1.33/1.53 (define @t261 () (forall @t46 (=> @t7 @t260))) % 1.33/1.53 (define @t262 () (= tptp.subPowSU @t261)) % 1.33/1.53 (define @t263 () (= @t153 @t22)) % 1.33/1.53 (define @t264 () (forall @t70 @t263)) % 1.33/1.53 (define @t265 () (exists @t9 @t264)) % 1.33/1.53 (define @t266 () (=> @t148 @t265)) % 1.33/1.53 (define @t267 () (forall @t150 @t266)) % 1.33/1.53 (define @t268 () (= tptp.exuE2 @t267)) % 1.33/1.53 (define @t269 () (and @t7 true)) % 1.33/1.53 (define @t270 () (exists @t9 @t269)) % 1.33/1.53 (define @t271 () (=> @t205 @t270)) % 1.33/1.53 (define @t272 () (forall @t64 @t271)) % 1.33/1.53 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 1.33/1.53 (define @t274 () (_ tptp.setadjoin @t19)) % 1.33/1.53 (define @t275 () (_ @t274 tptp.emptyset)) % 1.33/1.53 (define @t276 () (_ @t5 @t275)) % 1.33/1.53 (define @t277 () (forall @t135 (=> @t276 @t129))) % 1.33/1.53 (define @t278 () (= tptp.uniqinunit @t277)) % 1.33/1.53 (define @t279 () (_ @t24 tptp.emptyset)) % 1.33/1.53 (define @t280 () (_ @t20 @t279)) % 1.33/1.53 (define @t281 () (not @t280)) % 1.33/1.53 (define @t282 () (not @t129)) % 1.33/1.53 (define @t283 () (forall @t135 (=> @t282 @t281))) % 1.33/1.53 (define @t284 () (= tptp.notinsingleton @t283)) % 1.33/1.53 (define @t285 () (forall @t135 (=> @t129 @t276))) % 1.33/1.53 (define @t286 () (= tptp.eqinunit @t285)) % 1.33/1.53 (define @t287 () (forall @t135 (=> @t276 @t280))) % 1.33/1.53 (define @t288 () (= tptp.singletonsswitch @t287)) % 1.33/1.53 (define @t289 () (@var "Xz" $$unsorted)) % 1.33/1.53 (define @t290 () (= @t289 @t19)) % 1.33/1.53 (define @t291 () (= @t289 @t4)) % 1.33/1.53 (define @t292 () (or @t291 @t290)) % 1.33/1.53 (define @t293 () (_ @t24 @t275)) % 1.33/1.53 (define @t294 () (_ tptp.in @t289)) % 1.33/1.53 (define @t295 () (_ @t294 @t293)) % 1.33/1.53 (define @t296 () (=> @t295 @t292)) % 1.33/1.53 (define @t297 () (@list @t4 @t19 @t289)) % 1.33/1.53 (define @t298 () (forall @t297 @t296)) % 1.33/1.53 (define @t299 () (= tptp.upairsetE @t298)) % 1.33/1.53 (define @t300 () (_ @t5 @t293)) % 1.33/1.53 (define @t301 () (forall @t135 @t300)) % 1.33/1.53 (define @t302 () (= tptp.upairsetIL @t301)) % 1.33/1.53 (define @t303 () (_ @t20 @t293)) % 1.33/1.53 (define @t304 () (forall @t135 @t303)) % 1.33/1.53 (define @t305 () (= tptp.upairsetIR @t304)) % 1.33/1.53 (define @t306 () (_ @t155 @t145)) % 1.33/1.53 (define @t307 () (= @t306 tptp.emptyset)) % 1.33/1.53 (define @t308 () (and @t7 @t144)) % 1.33/1.53 (define @t309 () (exists @t9 @t308)) % 1.33/1.53 (define @t310 () (=> @t309 (=> @t307 false))) % 1.33/1.53 (define @t311 () (@list @t2 @t143)) % 1.33/1.53 (define @t312 () (forall @t311 @t310)) % 1.33/1.53 (define @t313 () (= tptp.emptyE1 @t312)) % 1.33/1.53 (define @t314 () (@list @t143 @t4)) % 1.33/1.53 (define @t315 () (forall @t314 (=> @t15 @t144))) % 1.33/1.53 (define @t316 () (= tptp.vacuousDall @t315)) % 1.33/1.53 (define @t317 () (not @t144)) % 1.33/1.53 (define @t318 () (and @t7 @t317)) % 1.33/1.53 (define @t319 () (exists @t9 @t318)) % 1.33/1.53 (define @t320 () (forall @t9 (=> @t7 @t144))) % 1.33/1.53 (define @t321 () (not @t320)) % 1.33/1.53 (define @t322 () (=> @t321 @t319)) % 1.33/1.53 (define @t323 () (forall @t311 @t322)) % 1.33/1.53 (define @t324 () (= tptp.quantDeMorgan1 @t323)) % 1.33/1.53 (define @t325 () (not @t309)) % 1.33/1.53 (define @t326 () (forall @t9 (=> @t7 @t317))) % 1.33/1.53 (define @t327 () (=> @t326 @t325)) % 1.33/1.53 (define @t328 () (forall @t311 @t327)) % 1.33/1.53 (define @t329 () (= tptp.quantDeMorgan2 @t328)) % 1.33/1.53 (define @t330 () (=> @t325 @t326)) % 1.33/1.53 (define @t331 () (forall @t311 @t330)) % 1.33/1.53 (define @t332 () (= tptp.quantDeMorgan3 @t331)) % 1.33/1.53 (define @t333 () (=> @t319 @t321)) % 1.33/1.53 (define @t334 () (forall @t311 @t333)) % 1.33/1.53 (define @t335 () (= tptp.quantDeMorgan4 @t334)) % 1.33/1.53 (define @t336 () (_ @t49 @t174)) % 1.33/1.53 (define @t337 () (forall @t179 (=> @t173 @t336))) % 1.33/1.53 (define @t338 () (= tptp.prop2setI @t337)) % 1.33/1.53 (define @t339 () (_ tptp.set2prop @t174)) % 1.33/1.53 (define @t340 () (forall @t179 (=> @t173 @t339))) % 1.33/1.53 (define @t341 () (= tptp.prop2set2propI @t340)) % 1.33/1.53 (define @t342 () (=> @t169 @t148)) % 1.33/1.53 (define @t343 () (forall @t150 @t342)) % 1.33/1.53 (define @t344 () (= tptp.exuI1 @t343)) % 1.33/1.53 (define @t345 () (=> @t144 @t166)) % 1.33/1.53 (define @t346 () (forall @t135 @t345)) % 1.33/1.53 (define @t347 () (=> @t346 @t148)) % 1.33/1.53 (define @t348 () (=> @t186 @t347)) % 1.33/1.53 (define @t349 () (forall @t150 @t348)) % 1.33/1.53 (define @t350 () (= tptp.exuI3 @t349)) % 1.33/1.53 (define @t351 () (=> @t265 @t148)) % 1.33/1.53 (define @t352 () (forall @t150 @t351)) % 1.33/1.53 (define @t353 () (= tptp.exuI2 @t352)) % 1.33/1.53 (define @t354 () (_ @t20 @t1)) % 1.33/1.53 (define @t355 () (=> @t7 @t354)) % 1.33/1.53 (define @t356 () (forall @t135 (=> @t129 @t355))) % 1.33/1.53 (define @t357 () (=> @t3 @t356)) % 1.33/1.53 (define @t358 () (forall @t12 @t357)) % 1.33/1.53 (define @t359 () (= tptp.inCongP @t358)) % 1.33/1.53 (define @t360 () (= @t7 @t354)) % 1.33/1.53 (define @t361 () (forall @t135 (=> @t129 @t360))) % 1.33/1.53 (define @t362 () (=> @t3 @t361)) % 1.33/1.53 (define @t363 () (forall @t12 @t362)) % 1.33/1.53 (define @t364 () (= tptp.in__Cong @t363)) % 1.33/1.53 (define @t365 () (=> @t148 @t346)) % 1.33/1.53 (define @t366 () (forall @t150 @t365)) % 1.33/1.53 (define @t367 () (= tptp.exuE3u @t366)) % 1.33/1.53 (define @t368 () (@var "Xpsi" (-> $$unsorted Bool))) % 1.33/1.53 (define @t369 () (_ @t368 @t4)) % 1.33/1.53 (define @t370 () (lambda @t9 @t369)) % 1.33/1.53 (define @t371 () (_ tptp.exu @t370)) % 1.33/1.53 (define @t372 () (= @t148 @t371)) % 1.33/1.53 (define @t373 () (_ @t368 @t19)) % 1.33/1.53 (define @t374 () (= @t144 @t373)) % 1.33/1.53 (define @t375 () (=> @t129 @t374)) % 1.33/1.53 (define @t376 () (forall @t135 @t375)) % 1.33/1.53 (define @t377 () (=> @t376 @t372)) % 1.33/1.53 (define @t378 () (@list @t143 @t368)) % 1.33/1.53 (define @t379 () (forall @t378 @t377)) % 1.33/1.53 (define @t380 () (= tptp.exu__Cong @t379)) % 1.33/1.53 (define @t381 () (= tptp.emptyset tptp.emptyset)) % 1.33/1.53 (define @t382 () (= tptp.emptyset__Cong @t381)) % 1.33/1.53 (define @t383 () (@var "Xu" $$unsorted)) % 1.33/1.53 (define @t384 () (_ @t274 @t383)) % 1.33/1.53 (define @t385 () (_ @t24 @t289)) % 1.33/1.53 (define @t386 () (= @t385 @t384)) % 1.33/1.53 (define @t387 () (= @t289 @t383)) % 1.33/1.53 (define @t388 () (@list @t289 @t383)) % 1.33/1.53 (define @t389 () (forall @t388 (=> @t387 @t386))) % 1.33/1.53 (define @t390 () (=> @t129 @t389)) % 1.33/1.53 (define @t391 () (forall @t135 @t390)) % 1.33/1.53 (define @t392 () (= tptp.setadjoin__Cong @t391)) % 1.33/1.53 (define @t393 () (_ tptp.powerset @t1)) % 1.33/1.53 (define @t394 () (= @t33 @t393)) % 1.33/1.53 (define @t395 () (forall @t12 (=> @t3 @t394))) % 1.33/1.53 (define @t396 () (= tptp.powerset__Cong @t395)) % 1.33/1.53 (define @t397 () (_ tptp.setunion @t1)) % 1.33/1.53 (define @t398 () (= @t43 @t397)) % 1.33/1.53 (define @t399 () (forall @t12 (=> @t3 @t398))) % 1.33/1.53 (define @t400 () (= tptp.setunion__Cong @t399)) % 1.33/1.53 (define @t401 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 1.33/1.53 (define @t402 () (= tptp.exuEu @t366)) % 1.33/1.53 (define @t403 () (_ tptp.descr @t370)) % 1.33/1.53 (define @t404 () (= @t146 @t403)) % 1.33/1.53 (define @t405 () (=> @t371 @t404)) % 1.33/1.53 (define @t406 () (=> @t148 @t405)) % 1.33/1.53 (define @t407 () (=> @t376 @t406)) % 1.33/1.53 (define @t408 () (forall @t378 @t407)) % 1.33/1.53 (define @t409 () (= tptp.descr__Cong @t408)) % 1.33/1.53 (define @t410 () (_ tptp.dsetconstr @t1)) % 1.33/1.53 (define @t411 () (_ @t410 @t370)) % 1.33/1.53 (define @t412 () (= @t306 @t411)) % 1.33/1.53 (define @t413 () (forall @t70 (=> @t354 @t375))) % 1.33/1.53 (define @t414 () (=> @t7 @t413)) % 1.33/1.53 (define @t415 () (forall @t9 @t414)) % 1.33/1.53 (define @t416 () (=> @t415 @t412)) % 1.33/1.53 (define @t417 () (forall @t378 @t416)) % 1.33/1.53 (define @t418 () (=> @t3 @t417)) % 1.33/1.53 (define @t419 () (forall @t12 @t418)) % 1.33/1.53 (define @t420 () (= tptp.dsetconstr__Cong @t419)) % 1.33/1.53 (define @t421 () (_ tptp.subset @t2)) % 1.33/1.53 (define @t422 () (_ @t421 @t1)) % 1.33/1.53 (define @t423 () (=> @t192 @t422)) % 1.33/1.53 (define @t424 () (forall @t12 @t423)) % 1.33/1.53 (define @t425 () (= tptp.subsetI1 @t424)) % 1.33/1.53 (define @t426 () (_ tptp.subset @t1)) % 1.33/1.53 (define @t427 () (_ @t426 @t2)) % 1.33/1.53 (define @t428 () (forall @t12 (=> @t3 @t427))) % 1.33/1.53 (define @t429 () (= tptp.eqimpsubset2 @t428)) % 1.33/1.53 (define @t430 () (forall @t12 (=> @t3 @t422))) % 1.33/1.53 (define @t431 () (= tptp.eqimpsubset1 @t430)) % 1.33/1.53 (define @t432 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 1.33/1.53 (define @t433 () (forall @t64 @t432)) % 1.33/1.53 (define @t434 () (= tptp.emptysetsubset @t433)) % 1.33/1.53 (define @t435 () (forall @t245 (=> @t422 @t191))) % 1.33/1.53 (define @t436 () (= tptp.subsetE @t435)) % 1.33/1.53 (define @t437 () (not @t6)) % 1.33/1.53 (define @t438 () (=> @t437 @t197)) % 1.33/1.53 (define @t439 () (forall @t245 (=> @t422 @t438))) % 1.33/1.53 (define @t440 () (= tptp.subsetE2 @t439)) % 1.33/1.53 (define @t441 () (not @t422)) % 1.33/1.53 (define @t442 () (=> @t437 @t441)) % 1.33/1.53 (define @t443 () (forall @t245 (=> @t7 @t442))) % 1.33/1.53 (define @t444 () (= tptp.notsubsetI @t443)) % 1.33/1.53 (define @t445 () (not @t3)) % 1.33/1.53 (define @t446 () (forall @t12 (=> @t441 @t445))) % 1.33/1.53 (define @t447 () (= tptp.notequalI1 @t446)) % 1.33/1.53 (define @t448 () (=> @t437 @t445)) % 1.33/1.53 (define @t449 () (forall @t245 (=> @t7 @t448))) % 1.33/1.53 (define @t450 () (= tptp.notequalI2 @t449)) % 1.33/1.53 (define @t451 () (_ @t421 @t2)) % 1.33/1.53 (define @t452 () (forall @t64 @t451)) % 1.33/1.53 (define @t453 () (= tptp.subsetRefl @t452)) % 1.33/1.53 (define @t454 () (_ @t421 @t104)) % 1.33/1.53 (define @t455 () (_ @t426 @t104)) % 1.33/1.53 (define @t456 () (=> @t455 @t454)) % 1.33/1.53 (define @t457 () (@list @t2 @t1 @t104)) % 1.33/1.53 (define @t458 () (forall @t457 (=> @t422 @t456))) % 1.33/1.53 (define @t459 () (= tptp.subsetTrans @t458)) % 1.33/1.53 (define @t460 () (_ @t421 @t25)) % 1.33/1.53 (define @t461 () (@list @t4 @t2)) % 1.33/1.53 (define @t462 () (forall @t461 @t460)) % 1.33/1.53 (define @t463 () (= tptp.setadjoinSub @t462)) % 1.33/1.53 (define @t464 () (_ @t24 @t1)) % 1.33/1.53 (define @t465 () (_ @t421 @t464)) % 1.33/1.53 (define @t466 () (forall @t249 (=> @t422 @t465))) % 1.33/1.53 (define @t467 () (= tptp.setadjoinSub2 @t466)) % 1.33/1.53 (define @t468 () (_ tptp.in @t2)) % 1.33/1.53 (define @t469 () (_ @t468 @t393)) % 1.33/1.53 (define @t470 () (forall @t12 (=> @t422 @t469))) % 1.33/1.53 (define @t471 () (= tptp.subset2powerset @t470)) % 1.33/1.53 (define @t472 () (=> @t427 @t3)) % 1.33/1.53 (define @t473 () (forall @t12 (=> @t422 @t472))) % 1.33/1.53 (define @t474 () (= tptp.setextsub @t473)) % 1.33/1.53 (define @t475 () (_ @t421 tptp.emptyset)) % 1.33/1.53 (define @t476 () (forall @t64 (=> @t475 @t196))) % 1.33/1.53 (define @t477 () (= tptp.subsetemptysetimpeq @t476)) % 1.33/1.53 (define @t478 () (forall @t12 (=> @t427 @t35))) % 1.33/1.53 (define @t479 () (= tptp.powersetI1 @t478)) % 1.33/1.53 (define @t480 () (forall @t12 (=> @t35 @t427))) % 1.33/1.53 (define @t481 () (= tptp.powersetE1 @t480)) % 1.33/1.53 (define @t482 () (_ @t468 @t33)) % 1.33/1.53 (define @t483 () (forall @t64 @t482)) % 1.33/1.53 (define @t484 () (= tptp.inPowerset @t483)) % 1.33/1.53 (define @t485 () (_ (_ tptp.subset @t33) @t393)) % 1.33/1.53 (define @t486 () (forall @t12 (=> @t422 @t485))) % 1.33/1.53 (define @t487 () (= tptp.powersetsubset @t486)) % 1.33/1.53 (define @t488 () (_ (_ tptp.in @t306) @t33)) % 1.33/1.53 (define @t489 () (forall @t311 @t488)) % 1.33/1.53 (define @t490 () (= tptp.sepInPowerset @t489)) % 1.33/1.53 (define @t491 () (_ (_ tptp.subset @t306) @t2)) % 1.33/1.53 (define @t492 () (forall @t311 @t491)) % 1.33/1.53 (define @t493 () (= tptp.sepSubset @t492)) % 1.33/1.53 (define @t494 () (_ (_ tptp.binunion @t2) @t1)) % 1.33/1.53 (define @t495 () (_ @t5 @t494)) % 1.33/1.53 (define @t496 () (forall @t245 (=> @t7 @t495))) % 1.33/1.53 (define @t497 () (= tptp.binunionIL @t496)) % 1.33/1.53 (define @t498 () (forall @t245 (=> @t6 @t495))) % 1.33/1.53 (define @t499 () (= tptp.binunionIR @t498)) % 1.33/1.53 (define @t500 () (=> @t6 @t173)) % 1.33/1.53 (define @t501 () (=> @t500 @t173)) % 1.33/1.53 (define @t502 () (=> @t7 @t173)) % 1.33/1.53 (define @t503 () (=> @t502 @t501)) % 1.33/1.53 (define @t504 () (@list @t2 @t1 @t4 @t173)) % 1.33/1.53 (define @t505 () (forall @t504 (=> @t495 @t503))) % 1.33/1.53 (define @t506 () (= tptp.binunionEcases @t505)) % 1.33/1.53 (define @t507 () (or @t7 @t6)) % 1.33/1.53 (define @t508 () (forall @t245 (=> @t495 @t507))) % 1.33/1.53 (define @t509 () (= tptp.binunionE @t508)) % 1.33/1.53 (define @t510 () (_ @t421 @t494)) % 1.33/1.53 (define @t511 () (forall @t12 @t510)) % 1.33/1.53 (define @t512 () (= tptp.binunionLsub @t511)) % 1.33/1.53 (define @t513 () (_ @t426 @t494)) % 1.33/1.53 (define @t514 () (forall @t12 @t513)) % 1.33/1.53 (define @t515 () (= tptp.binunionRsub @t514)) % 1.33/1.53 (define @t516 () (_ tptp.binintersect @t2)) % 1.33/1.53 (define @t517 () (_ @t516 @t1)) % 1.33/1.53 (define @t518 () (_ @t5 @t517)) % 1.33/1.53 (define @t519 () (=> @t6 @t518)) % 1.33/1.53 (define @t520 () (forall @t245 (=> @t7 @t519))) % 1.33/1.53 (define @t521 () (= tptp.binintersectI @t520)) % 1.33/1.53 (define @t522 () (_ tptp.subset @t104)) % 1.33/1.53 (define @t523 () (_ @t522 @t517)) % 1.33/1.53 (define @t524 () (_ @t522 @t1)) % 1.33/1.53 (define @t525 () (=> @t524 @t523)) % 1.33/1.53 (define @t526 () (_ @t522 @t2)) % 1.33/1.53 (define @t527 () (forall @t457 (=> @t526 @t525))) % 1.33/1.53 (define @t528 () (= tptp.binintersectSubset5 @t527)) % 1.33/1.53 (define @t529 () (forall @t245 (=> @t518 @t7))) % 1.33/1.53 (define @t530 () (= tptp.binintersectEL @t529)) % 1.33/1.53 (define @t531 () (_ tptp.subset @t517)) % 1.33/1.53 (define @t532 () (_ @t531 @t2)) % 1.33/1.53 (define @t533 () (forall @t12 @t532)) % 1.33/1.53 (define @t534 () (= tptp.binintersectLsub @t533)) % 1.33/1.53 (define @t535 () (= @t517 @t2)) % 1.33/1.53 (define @t536 () (=> @t422 @t535)) % 1.33/1.53 (define @t537 () (forall @t12 @t536)) % 1.33/1.53 (define @t538 () (= tptp.binintersectSubset2 @t537)) % 1.33/1.53 (define @t539 () (= @t517 @t1)) % 1.33/1.53 (define @t540 () (=> @t539 @t427)) % 1.33/1.53 (define @t541 () (forall @t12 @t540)) % 1.33/1.53 (define @t542 () (= tptp.binintersectSubset3 @t541)) % 1.33/1.53 (define @t543 () (forall @t245 (=> @t518 @t6))) % 1.33/1.53 (define @t544 () (= tptp.binintersectER @t543)) % 1.33/1.53 (define @t545 () (and @t7 @t6)) % 1.33/1.53 (define @t546 () (exists @t9 @t545)) % 1.33/1.53 (define @t547 () (not @t546)) % 1.33/1.53 (define @t548 () (=> @t547 (= @t517 tptp.emptyset))) % 1.33/1.53 (define @t549 () (forall @t12 @t548)) % 1.33/1.53 (define @t550 () (= tptp.disjointsetsI1 @t549)) % 1.33/1.53 (define @t551 () (_ @t531 @t1)) % 1.33/1.53 (define @t552 () (forall @t12 @t551)) % 1.33/1.53 (define @t553 () (= tptp.binintersectRsub @t552)) % 1.33/1.53 (define @t554 () (=> @t427 @t539)) % 1.33/1.53 (define @t555 () (forall @t12 @t554)) % 1.33/1.53 (define @t556 () (= tptp.binintersectSubset4 @t555)) % 1.33/1.53 (define @t557 () (=> @t535 @t422)) % 1.33/1.53 (define @t558 () (forall @t12 @t557)) % 1.33/1.53 (define @t559 () (= tptp.binintersectSubset1 @t558)) % 1.33/1.53 (define @t560 () (_ @t516 @t104)) % 1.33/1.53 (define @t561 () (_ (_ tptp.binunion @t517) @t560)) % 1.33/1.53 (define @t562 () (_ (_ tptp.binunion @t1) @t104)) % 1.33/1.53 (define @t563 () (_ @t516 @t562)) % 1.33/1.53 (define @t564 () (= @t563 @t561)) % 1.33/1.53 (define @t565 () (forall @t457 @t564)) % 1.33/1.53 (define @t566 () (= tptp.bs114d @t565)) % 1.33/1.53 (define @t567 () (_ tptp.setminus @t2)) % 1.33/1.53 (define @t568 () (_ @t567 @t1)) % 1.33/1.53 (define @t569 () (_ @t5 @t568)) % 1.33/1.53 (define @t570 () (=> @t437 @t569)) % 1.33/1.53 (define @t571 () (forall @t245 (=> @t7 @t570))) % 1.33/1.53 (define @t572 () (= tptp.setminusI @t571)) % 1.33/1.53 (define @t573 () (forall @t245 (=> @t569 @t7))) % 1.33/1.53 (define @t574 () (= tptp.setminusEL @t573)) % 1.33/1.53 (define @t575 () (forall @t245 (=> @t569 @t437))) % 1.33/1.53 (define @t576 () (= tptp.setminusER @t575)) % 1.33/1.53 (define @t577 () (= @t568 tptp.emptyset)) % 1.33/1.53 (define @t578 () (=> @t422 @t577)) % 1.33/1.53 (define @t579 () (forall @t12 @t578)) % 1.33/1.53 (define @t580 () (= tptp.setminusSubset2 @t579)) % 1.33/1.53 (define @t581 () (not @t569)) % 1.33/1.53 (define @t582 () (forall @t245 (=> @t581 @t191))) % 1.33/1.53 (define @t583 () (= tptp.setminusERneg @t582)) % 1.33/1.53 (define @t584 () (forall @t245 (=> @t581 @t438))) % 1.33/1.53 (define @t585 () (= tptp.setminusELneg @t584)) % 1.33/1.53 (define @t586 () (forall @t245 (=> @t197 @t581))) % 1.33/1.53 (define @t587 () (= tptp.setminusILneg @t586)) % 1.33/1.53 (define @t588 () (forall @t245 (=> @t6 @t581))) % 1.33/1.53 (define @t589 () (= tptp.setminusIRneg @t588)) % 1.33/1.53 (define @t590 () (_ (_ tptp.subset @t568) @t2)) % 1.33/1.53 (define @t591 () (forall @t12 @t590)) % 1.33/1.53 (define @t592 () (= tptp.setminusLsub @t591)) % 1.33/1.53 (define @t593 () (=> @t577 @t422)) % 1.33/1.53 (define @t594 () (forall @t12 @t593)) % 1.33/1.53 (define @t595 () (= tptp.setminusSubset1 @t594)) % 1.33/1.53 (define @t596 () (=> @t197 @t500)) % 1.33/1.53 (define @t597 () (=> @t596 @t173)) % 1.33/1.53 (define @t598 () (=> @t437 @t173)) % 1.33/1.53 (define @t599 () (=> @t7 @t598)) % 1.33/1.53 (define @t600 () (forall @t179 (=> @t599 @t597))) % 1.33/1.53 (define @t601 () (_ (_ tptp.symdiff @t2) @t1)) % 1.33/1.53 (define @t602 () (_ @t5 @t601)) % 1.33/1.53 (define @t603 () (=> @t602 @t600)) % 1.33/1.53 (define @t604 () (forall @t245 @t603)) % 1.33/1.53 (define @t605 () (= tptp.symdiffE @t604)) % 1.33/1.53 (define @t606 () (=> @t437 @t602)) % 1.33/1.53 (define @t607 () (forall @t245 (=> @t7 @t606))) % 1.33/1.53 (define @t608 () (= tptp.symdiffI1 @t607)) % 1.33/1.53 (define @t609 () (=> @t6 @t602)) % 1.33/1.53 (define @t610 () (forall @t245 (=> @t197 @t609))) % 1.33/1.53 (define @t611 () (= tptp.symdiffI2 @t610)) % 1.33/1.53 (define @t612 () (not @t602)) % 1.33/1.53 (define @t613 () (=> @t6 @t612)) % 1.33/1.53 (define @t614 () (forall @t245 (=> @t7 @t613))) % 1.33/1.53 (define @t615 () (= tptp.symdiffIneg1 @t614)) % 1.33/1.53 (define @t616 () (=> @t437 @t612)) % 1.33/1.53 (define @t617 () (forall @t245 (=> @t197 @t616))) % 1.33/1.53 (define @t618 () (= tptp.symdiffIneg2 @t617)) % 1.33/1.53 (define @t619 () (_ (_ tptp.setadjoin @t293) tptp.emptyset)) % 1.33/1.53 (define @t620 () (_ tptp.setadjoin @t279)) % 1.33/1.53 (define @t621 () (_ @t620 @t619)) % 1.33/1.53 (define @t622 () (_ tptp.setunion @t621)) % 1.33/1.53 (define @t623 () (_ @t5 @t622)) % 1.33/1.53 (define @t624 () (forall @t135 @t623)) % 1.33/1.53 (define @t625 () (= tptp.setukpairIL @t624)) % 1.33/1.53 (define @t626 () (_ @t20 @t622)) % 1.33/1.53 (define @t627 () (forall @t135 @t626)) % 1.33/1.53 (define @t628 () (= tptp.setukpairIR @t627)) % 1.33/1.53 (define @t629 () (_ tptp.iskpair @t621)) % 1.33/1.53 (define @t630 () (forall @t135 @t629)) % 1.33/1.53 (define @t631 () (= tptp.kpairiskpair @t630)) % 1.33/1.53 (define @t632 () (_ tptp.kpair @t4)) % 1.33/1.53 (define @t633 () (_ @t632 @t19)) % 1.33/1.53 (define @t634 () (_ tptp.iskpair @t633)) % 1.33/1.53 (define @t635 () (forall @t135 @t634)) % 1.33/1.53 (define @t636 () (= tptp.kpairp @t635)) % 1.33/1.53 (define @t637 () (_ (_ tptp.subset @t279) @t2)) % 1.33/1.53 (define @t638 () (forall @t46 (=> @t7 @t637))) % 1.33/1.53 (define @t639 () (= tptp.singletonsubset @t638)) % 1.33/1.53 (define @t640 () (_ tptp.in @t279)) % 1.33/1.53 (define @t641 () (_ @t640 @t33)) % 1.33/1.53 (define @t642 () (forall @t46 (=> @t7 @t641))) % 1.33/1.53 (define @t643 () (= tptp.singletoninpowerset @t642)) % 1.33/1.53 (define @t644 () (_ tptp.powerset @t494)) % 1.33/1.53 (define @t645 () (_ @t640 @t644)) % 1.33/1.53 (define @t646 () (forall @t245 (=> @t7 @t645))) % 1.33/1.53 (define @t647 () (= tptp.singletoninpowunion @t646)) % 1.33/1.53 (define @t648 () (_ (_ tptp.subset @t293) @t494)) % 1.33/1.53 (define @t649 () (forall @t70 (=> @t354 @t648))) % 1.33/1.53 (define @t650 () (=> @t7 @t649)) % 1.33/1.53 (define @t651 () (forall @t245 @t650)) % 1.33/1.53 (define @t652 () (= tptp.upairsubunion @t651)) % 1.33/1.53 (define @t653 () (_ (_ tptp.in @t293) @t644)) % 1.33/1.53 (define @t654 () (forall @t70 (=> @t354 @t653))) % 1.33/1.53 (define @t655 () (=> @t7 @t654)) % 1.33/1.53 (define @t656 () (forall @t245 @t655)) % 1.33/1.53 (define @t657 () (= tptp.upairinpowunion @t656)) % 1.33/1.53 (define @t658 () (_ (_ tptp.subset @t621) @t644)) % 1.33/1.53 (define @t659 () (forall @t70 (=> @t354 @t658))) % 1.33/1.53 (define @t660 () (=> @t7 @t659)) % 1.33/1.53 (define @t661 () (forall @t245 @t660)) % 1.33/1.53 (define @t662 () (= tptp.ubforcartprodlem1 @t661)) % 1.33/1.53 (define @t663 () (_ tptp.powerset @t644)) % 1.33/1.53 (define @t664 () (_ (_ tptp.in @t621) @t663)) % 1.33/1.53 (define @t665 () (forall @t70 (=> @t354 @t664))) % 1.33/1.53 (define @t666 () (=> @t7 @t665)) % 1.33/1.53 (define @t667 () (forall @t245 @t666)) % 1.33/1.53 (define @t668 () (= tptp.ubforcartprodlem2 @t667)) % 1.33/1.53 (define @t669 () (_ tptp.in @t633)) % 1.33/1.53 (define @t670 () (_ @t669 @t663)) % 1.33/1.53 (define @t671 () (forall @t70 (=> @t354 @t670))) % 1.33/1.53 (define @t672 () (=> @t7 @t671)) % 1.33/1.53 (define @t673 () (forall @t245 @t672)) % 1.33/1.53 (define @t674 () (= tptp.ubforcartprodlem3 @t673)) % 1.33/1.53 (define @t675 () (_ (_ tptp.cartprod @t2) @t1)) % 1.33/1.53 (define @t676 () (_ @t669 @t675)) % 1.33/1.53 (define @t677 () (forall @t70 (=> @t354 @t676))) % 1.33/1.53 (define @t678 () (=> @t7 @t677)) % 1.33/1.53 (define @t679 () (forall @t245 @t678)) % 1.33/1.53 (define @t680 () (= tptp.cartprodpairin @t679)) % 1.33/1.53 (define @t681 () (= @t383 @t633)) % 1.33/1.53 (define @t682 () (and @t354 @t681)) % 1.33/1.53 (define @t683 () (exists @t70 @t682)) % 1.33/1.53 (define @t684 () (and @t7 @t683)) % 1.33/1.53 (define @t685 () (exists @t9 @t684)) % 1.33/1.53 (define @t686 () (_ tptp.in @t383)) % 1.33/1.53 (define @t687 () (_ @t686 @t675)) % 1.33/1.53 (define @t688 () (=> @t687 @t685)) % 1.33/1.53 (define @t689 () (@list @t2 @t1 @t383)) % 1.33/1.53 (define @t690 () (forall @t689 @t688)) % 1.33/1.53 (define @t691 () (= tptp.cartprodmempair1 @t690)) % 1.33/1.53 (define @t692 () (_ tptp.iskpair @t383)) % 1.33/1.53 (define @t693 () (forall @t689 (=> @t687 @t692))) % 1.33/1.53 (define @t694 () (= tptp.cartprodmempair @t693)) % 1.33/1.53 (define @t695 () (@var "X" $$unsorted)) % 1.33/1.53 (define @t696 () (_ @t5 @t695)) % 1.33/1.53 (define @t697 () (_ tptp.in @t695)) % 1.33/1.53 (define @t698 () (_ @t697 @t2)) % 1.33/1.53 (define @t699 () (and @t698 @t696)) % 1.33/1.53 (define @t700 () (@list @t695)) % 1.33/1.53 (define @t701 () (exists @t700 @t699)) % 1.33/1.53 (define @t702 () (=> @t44 @t701)) % 1.33/1.53 (define @t703 () (forall @t46 @t702)) % 1.33/1.53 (define @t704 () (= tptp.setunionE2 @t703)) % 1.33/1.53 (define @t705 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 1.33/1.53 (define @t706 () (_ tptp.setunion @t705)) % 1.33/1.53 (define @t707 () (_ (_ tptp.subset @t706) @t2)) % 1.33/1.53 (define @t708 () (forall @t64 @t707)) % 1.33/1.53 (define @t709 () (= tptp.setunionsingleton1 @t708)) % 1.33/1.53 (define @t710 () (_ @t421 @t706)) % 1.33/1.53 (define @t711 () (forall @t64 @t710)) % 1.33/1.53 (define @t712 () (= tptp.setunionsingleton2 @t711)) % 1.33/1.53 (define @t713 () (_ tptp.setunion @t279)) % 1.33/1.53 (define @t714 () (forall @t9 (= @t713 @t4))) % 1.33/1.53 (define @t715 () (= tptp.setunionsingleton @t714)) % 1.33/1.53 (define @t716 () (_ tptp.singleton @t306)) % 1.33/1.53 (define @t717 () (=> @t309 @t716)) % 1.33/1.53 (define @t718 () (forall @t70 (=> @t21 @t345))) % 1.33/1.53 (define @t719 () (=> @t7 @t718)) % 1.33/1.53 (define @t720 () (forall @t9 @t719)) % 1.33/1.53 (define @t721 () (=> @t720 @t717)) % 1.33/1.53 (define @t722 () (forall @t311 @t721)) % 1.33/1.53 (define @t723 () (= tptp.singletonprop @t722)) % 1.33/1.53 (define @t724 () (_ tptp.ex1 @t2)) % 1.33/1.53 (define @t725 () (_ @t724 @t145)) % 1.33/1.53 (define @t726 () (=> @t725 @t309)) % 1.33/1.53 (define @t727 () (forall @t311 @t726)) % 1.33/1.53 (define @t728 () (= tptp.ex1E1 @t727)) % 1.33/1.53 (define @t729 () (=> @t153 @t22)) % 1.33/1.53 (define @t730 () (=> @t21 @t729)) % 1.33/1.53 (define @t731 () (forall @t70 @t730)) % 1.33/1.53 (define @t732 () (=> @t731 (_ @t724 @t154))) % 1.33/1.53 (define @t733 () (=> @t144 @t732)) % 1.33/1.53 (define @t734 () (=> @t7 @t733)) % 1.33/1.53 (define @t735 () (forall @t159 @t734)) % 1.33/1.53 (define @t736 () (= tptp.ex1I @t735)) % 1.33/1.53 (define @t737 () (=> @t309 @t725)) % 1.33/1.53 (define @t738 () (=> @t720 @t737)) % 1.33/1.53 (define @t739 () (forall @t311 @t738)) % 1.33/1.53 (define @t740 () (= tptp.ex1I2 @t739)) % 1.33/1.53 (define @t741 () (=> (= @t279 @t275) @t129)) % 1.33/1.53 (define @t742 () (forall @t135 @t741)) % 1.33/1.53 (define @t743 () (= tptp.singletonsuniq @t742)) % 1.33/1.53 (define @t744 () (= @t4 @t289)) % 1.33/1.53 (define @t745 () (_ tptp.setadjoin @t289)) % 1.33/1.53 (define @t746 () (_ @t745 tptp.emptyset)) % 1.33/1.53 (define @t747 () (_ (_ tptp.in @t746) @t621)) % 1.33/1.53 (define @t748 () (forall @t297 (=> @t747 @t744))) % 1.33/1.53 (define @t749 () (= tptp.setukpairinjL1 @t748)) % 1.33/1.53 (define @t750 () (_ @t640 @t383)) % 1.33/1.53 (define @t751 () (lambda @t9 @t750)) % 1.33/1.53 (define @t752 () (_ tptp.setunion @t383)) % 1.33/1.53 (define @t753 () (_ tptp.dsetconstr @t752)) % 1.33/1.53 (define @t754 () (_ @t753 @t751)) % 1.33/1.53 (define @t755 () (_ tptp.singleton @t754)) % 1.33/1.53 (define @t756 () (@list @t383)) % 1.33/1.53 (define @t757 () (forall @t756 (=> @t692 @t755))) % 1.33/1.53 (define @t758 () (= tptp.kfstsingleton @t757)) % 1.33/1.53 (define @t759 () (_ tptp.setunion @t695)) % 1.33/1.53 (define @t760 () (_ (_ tptp.in @t759) @t695)) % 1.33/1.53 (define @t761 () (_ tptp.singleton @t695)) % 1.33/1.53 (define @t762 () (forall @t700 (=> @t761 @t760))) % 1.33/1.53 (define @t763 () (= tptp.theprop @t762)) % 1.33/1.53 (define @t764 () (_ tptp.kfst @t633)) % 1.33/1.53 (define @t765 () (= @t764 @t4)) % 1.33/1.53 (define @t766 () (forall @t135 @t765)) % 1.33/1.53 (define @t767 () (= tptp.kfstpairEq @t766)) % 1.33/1.53 (define @t768 () (_ tptp.kfst @t383)) % 1.33/1.53 (define @t769 () (_ (_ tptp.in @t768) @t2)) % 1.33/1.53 (define @t770 () (forall @t689 (=> @t687 @t769))) % 1.33/1.53 (define @t771 () (= tptp.cartprodfstin @t770)) % 1.33/1.53 (define @t772 () (_ (_ tptp.setadjoin @t383) tptp.emptyset)) % 1.33/1.53 (define @t773 () (_ @t745 @t772)) % 1.33/1.53 (define @t774 () (_ (_ tptp.setadjoin @t773) tptp.emptyset)) % 1.33/1.53 (define @t775 () (_ (_ tptp.setadjoin @t746) @t774)) % 1.33/1.53 (define @t776 () (= @t621 @t775)) % 1.33/1.53 (define @t777 () (@list @t4 @t19 @t289 @t383)) % 1.33/1.53 (define @t778 () (forall @t777 (=> @t776 @t744))) % 1.33/1.53 (define @t779 () (= tptp.setukpairinjL2 @t778)) % 1.33/1.53 (define @t780 () (_ (_ tptp.kpair @t289) @t383)) % 1.33/1.53 (define @t781 () (= @t633 @t780)) % 1.33/1.53 (define @t782 () (forall @t777 (=> @t781 @t744))) % 1.33/1.53 (define @t783 () (= tptp.setukpairinjL @t782)) % 1.33/1.53 (define @t784 () (=> @t129 (= @t293 @t279))) % 1.33/1.53 (define @t785 () (forall @t135 @t784)) % 1.33/1.53 (define @t786 () (= tptp.setukpairinjR11 @t785)) % 1.33/1.53 (define @t787 () (_ @t620 tptp.emptyset)) % 1.33/1.53 (define @t788 () (= @t621 @t787)) % 1.33/1.53 (define @t789 () (forall @t135 (=> @t129 @t788))) % 1.33/1.53 (define @t790 () (= tptp.setukpairinjR12 @t789)) % 1.33/1.53 (define @t791 () (= @t19 @t383)) % 1.33/1.53 (define @t792 () (=> @t387 @t791)) % 1.33/1.53 (define @t793 () (forall @t777 (=> @t776 @t792))) % 1.33/1.53 (define @t794 () (= tptp.setukpairinjR1 @t793)) % 1.33/1.53 (define @t795 () (= @t293 @t746)) % 1.33/1.53 (define @t796 () (forall @t297 (=> @t795 @t129))) % 1.33/1.53 (define @t797 () (= tptp.upairequniteq @t796)) % 1.33/1.53 (define @t798 () (forall @t777 (=> @t776 @t791))) % 1.33/1.53 (define @t799 () (= tptp.setukpairinjR2 @t798)) % 1.33/1.53 (define @t800 () (forall @t777 (=> @t781 @t791))) % 1.33/1.53 (define @t801 () (= tptp.setukpairinjR @t800)) % 1.33/1.53 (define @t802 () (_ tptp.kpair @t768)) % 1.33/1.53 (define @t803 () (_ @t802 @t4)) % 1.33/1.53 (define @t804 () (= @t383 @t803)) % 1.33/1.53 (define @t805 () (lambda @t9 @t804)) % 1.33/1.53 (define @t806 () (_ @t753 @t805)) % 1.33/1.53 (define @t807 () (_ tptp.singleton @t806)) % 1.33/1.53 (define @t808 () (forall @t756 (=> @t692 @t807))) % 1.33/1.53 (define @t809 () (= tptp.ksndsingleton @t808)) % 1.33/1.53 (define @t810 () (_ tptp.ksnd @t633)) % 1.33/1.53 (define @t811 () (= @t810 @t19)) % 1.33/1.53 (define @t812 () (forall @t135 @t811)) % 1.33/1.53 (define @t813 () (= tptp.ksndpairEq @t812)) % 1.33/1.53 (define @t814 () (_ tptp.ksnd @t383)) % 1.33/1.53 (define @t815 () (_ @t802 @t814)) % 1.33/1.53 (define @t816 () (= @t815 @t383)) % 1.33/1.53 (define @t817 () (=> @t692 @t816)) % 1.33/1.53 (define @t818 () (forall @t756 @t817)) % 1.33/1.53 (define @t819 () (= tptp.kpairsurjEq @t818)) % 1.33/1.53 (define @t820 () (_ (_ tptp.in @t814) @t1)) % 1.33/1.53 (define @t821 () (forall @t689 (=> @t687 @t820))) % 1.33/1.53 (define @t822 () (= tptp.cartprodsndin @t821)) % 1.33/1.53 (define @t823 () (@list @t2 @t1 @t4 @t19)) % 1.33/1.53 (define @t824 () (forall @t823 (=> @t676 @t7))) % 1.33/1.53 (define @t825 () (= tptp.cartprodpairmemEL @t824)) % 1.33/1.53 (define @t826 () (forall @t823 (=> @t676 @t354))) % 1.33/1.53 (define @t827 () (= tptp.cartprodpairmemER @t826)) % 1.33/1.53 (define @t828 () (=> @t354 (= @t633 @t633))) % 1.33/1.53 (define @t829 () (forall @t70 @t828)) % 1.33/1.53 (define @t830 () (=> @t7 @t829)) % 1.33/1.53 (define @t831 () (forall @t245 @t830)) % 1.33/1.53 (define @t832 () (= tptp.cartprodmempaircEq @t831)) % 1.33/1.53 (define @t833 () (=> @t354 @t765)) % 1.33/1.53 (define @t834 () (forall @t70 @t833)) % 1.33/1.53 (define @t835 () (=> @t7 @t834)) % 1.33/1.53 (define @t836 () (forall @t245 @t835)) % 1.33/1.53 (define @t837 () (= tptp.cartprodfstpairEq @t836)) % 1.33/1.53 (define @t838 () (=> @t354 @t811)) % 1.33/1.53 (define @t839 () (forall @t70 @t838)) % 1.33/1.53 (define @t840 () (=> @t7 @t839)) % 1.33/1.53 (define @t841 () (forall @t245 @t840)) % 1.33/1.53 (define @t842 () (= tptp.cartprodsndpairEq @t841)) % 1.33/1.53 (define @t843 () (=> @t687 @t816)) % 1.33/1.53 (define @t844 () (forall @t689 @t843)) % 1.33/1.53 (define @t845 () (= tptp.cartprodpairsurjEq @t844)) % 1.33/1.53 (define @t846 () (_ (_ @t67 @t289) @t383)) % 1.33/1.53 (define @t847 () (lambda @t388 @t846)) % 1.33/1.53 (define @t848 () (_ (_ tptp.dpsetconstr @t2) @t1)) % 1.33/1.53 (define @t849 () (_ @t848 @t847)) % 1.33/1.53 (define @t850 () (_ @t669 @t849)) % 1.33/1.53 (define @t851 () (=> @t76 @t850)) % 1.33/1.53 (define @t852 () (forall @t70 (=> @t354 @t851))) % 1.33/1.53 (define @t853 () (=> @t7 @t852)) % 1.33/1.53 (define @t854 () (@list @t2 @t1 @t67 @t4)) % 1.33/1.53 (define @t855 () (forall @t854 @t853)) % 1.33/1.53 (define @t856 () (= tptp.dpsetconstrI @t855)) % 1.33/1.53 (define @t857 () (lambda @t135 @t76)) % 1.33/1.53 (define @t858 () (_ @t848 @t857)) % 1.33/1.53 (define @t859 () (_ (_ tptp.subset @t858) @t675)) % 1.33/1.53 (define @t860 () (@list @t2 @t1 @t67)) % 1.33/1.53 (define @t861 () (forall @t860 @t859)) % 1.33/1.53 (define @t862 () (= tptp.dpsetconstrSub @t861)) % 1.33/1.53 (define @t863 () (_ (_ tptp.breln @t2) @t1)) % 1.33/1.53 (define @t864 () (forall @t860 (_ @t863 @t858))) % 1.33/1.53 (define @t865 () (= tptp.setOfPairsIsBReln @t864)) % 1.33/1.53 (define @t866 () (=> @t850 @t76)) % 1.33/1.53 (define @t867 () (forall @t70 (=> @t354 @t866))) % 1.33/1.53 (define @t868 () (=> @t7 @t867)) % 1.33/1.53 (define @t869 () (forall @t854 @t868)) % 1.33/1.53 (define @t870 () (= tptp.dpsetconstrERa @t869)) % 1.33/1.53 (define @t871 () (@list @t2 @t1 @t67 @t4 @t19)) % 1.33/1.53 (define @t872 () (forall @t871 (=> @t850 @t7))) % 1.33/1.53 (define @t873 () (= tptp.dpsetconstrEL1 @t872)) % 1.33/1.53 (define @t874 () (forall @t871 (=> @t850 @t354))) % 1.33/1.53 (define @t875 () (= tptp.dpsetconstrEL2 @t874)) % 1.33/1.53 (define @t876 () (forall @t871 @t866)) % 1.33/1.53 (define @t877 () (= tptp.dpsetconstrER @t876)) % 1.33/1.53 (define @t878 () (@var "Xf" $$unsorted)) % 1.33/1.53 (define @t879 () (_ @t669 @t878)) % 1.33/1.53 (define @t880 () (lambda @t70 @t879)) % 1.33/1.53 (define @t881 () (_ @t410 @t880)) % 1.33/1.53 (define @t882 () (_ tptp.singleton @t881)) % 1.33/1.53 (define @t883 () (forall @t9 (=> @t7 @t882))) % 1.33/1.53 (define @t884 () (_ (_ tptp.func @t2) @t1)) % 1.33/1.53 (define @t885 () (_ @t884 @t878)) % 1.33/1.53 (define @t886 () (=> @t885 @t883)) % 1.33/1.53 (define @t887 () (@list @t2 @t1 @t878)) % 1.33/1.53 (define @t888 () (forall @t887 @t886)) % 1.33/1.53 (define @t889 () (= tptp.funcImageSingleton @t888)) % 1.33/1.53 (define @t890 () (_ tptp.setunion @t881)) % 1.33/1.53 (define @t891 () (_ (_ tptp.in @t890) @t1)) % 1.33/1.53 (define @t892 () (forall @t9 (=> @t7 @t891))) % 1.33/1.53 (define @t893 () (=> @t885 @t892)) % 1.33/1.53 (define @t894 () (forall @t887 @t893)) % 1.33/1.53 (define @t895 () (= tptp.apProp @t894)) % 1.33/1.53 (define @t896 () (_ (_ tptp.ap @t2) @t1)) % 1.33/1.53 (define @t897 () (_ (_ @t896 @t878) @t4)) % 1.33/1.53 (define @t898 () (_ (_ tptp.in @t897) @t1)) % 1.33/1.53 (define @t899 () (forall @t9 (=> @t7 @t898))) % 1.33/1.53 (define @t900 () (=> @t885 @t899)) % 1.33/1.53 (define @t901 () (forall @t887 @t900)) % 1.33/1.53 (define @t902 () (= tptp.app @t901)) % 1.33/1.53 (define @t903 () (_ (_ tptp.funcSet @t2) @t1)) % 1.33/1.53 (define @t904 () (_ tptp.in @t878)) % 1.33/1.53 (define @t905 () (_ @t904 @t903)) % 1.33/1.53 (define @t906 () (forall @t887 (=> @t905 @t885))) % 1.33/1.53 (define @t907 () (= tptp.infuncsetfunc @t906)) % 1.33/1.53 (define @t908 () (=> @t905 @t899)) % 1.33/1.53 (define @t909 () (forall @t887 @t908)) % 1.33/1.53 (define @t910 () (= tptp.ap2p @t909)) % 1.33/1.53 (define @t911 () (forall @t887 (=> @t885 @t905))) % 1.33/1.53 (define @t912 () (= tptp.funcinfuncset @t911)) % 1.33/1.53 (define @t913 () (@var "Xf" (-> $$unsorted $$unsorted))) % 1.33/1.53 (define @t914 () (_ @t913 @t4)) % 1.33/1.53 (define @t915 () (lambda @t135 (= @t914 @t19))) % 1.33/1.53 (define @t916 () (_ (_ tptp.in @t914) @t1)) % 1.33/1.53 (define @t917 () (forall @t9 (=> @t7 @t916))) % 1.33/1.53 (define @t918 () (=> @t917 (_ @t884 (_ @t848 @t915)))) % 1.33/1.53 (define @t919 () (@list @t2 @t1 @t913)) % 1.33/1.53 (define @t920 () (forall @t919 @t918)) % 1.33/1.53 (define @t921 () (= tptp.lamProp @t920)) % 1.33/1.53 (define @t922 () (lambda @t9 @t914)) % 1.33/1.53 (define @t923 () (_ (_ tptp.lam @t2) @t1)) % 1.33/1.53 (define @t924 () (_ @t923 @t922)) % 1.33/1.53 (define @t925 () (_ @t884 @t924)) % 1.33/1.53 (define @t926 () (=> @t917 @t925)) % 1.33/1.53 (define @t927 () (forall @t919 @t926)) % 1.33/1.53 (define @t928 () (= tptp.lamp @t927)) % 1.33/1.53 (define @t929 () (_ (_ tptp.in @t924) @t903)) % 1.33/1.53 (define @t930 () (=> @t917 @t929)) % 1.33/1.53 (define @t931 () (forall @t919 @t930)) % 1.33/1.53 (define @t932 () (= tptp.lam2p @t931)) % 1.33/1.53 (define @t933 () (@var "R" $$unsorted)) % 1.33/1.53 (define @t934 () (_ @t5 @t933)) % 1.33/1.53 (define @t935 () (forall @t9 (=> @t934 @t144))) % 1.33/1.53 (define @t936 () (_ @t143 @t633)) % 1.33/1.53 (define @t937 () (_ @t669 @t933)) % 1.33/1.53 (define @t938 () (=> @t937 @t936)) % 1.33/1.53 (define @t939 () (forall @t70 (=> @t354 @t938))) % 1.33/1.53 (define @t940 () (=> @t7 @t939)) % 1.33/1.53 (define @t941 () (forall @t9 @t940)) % 1.33/1.53 (define @t942 () (=> @t941 @t935)) % 1.33/1.53 (define @t943 () (forall @t150 @t942)) % 1.33/1.53 (define @t944 () (_ @t863 @t933)) % 1.33/1.53 (define @t945 () (=> @t944 @t943)) % 1.33/1.53 (define @t946 () (@list @t2 @t1 @t933)) % 1.33/1.53 (define @t947 () (forall @t946 @t945)) % 1.33/1.53 (define @t948 () (= tptp.brelnall1 @t947)) % 1.33/1.53 (define @t949 () (= tptp.brelnall2 @t947)) % 1.33/1.53 (define @t950 () (=> @t725 @t720)) % 1.33/1.53 (define @t951 () (forall @t311 @t950)) % 1.33/1.53 (define @t952 () (= tptp.ex1E2 @t951)) % 1.33/1.53 (define @t953 () (_ @t632 @t897)) % 1.33/1.53 (define @t954 () (_ (_ tptp.in @t953) @t878)) % 1.33/1.53 (define @t955 () (forall @t9 (=> @t7 @t954))) % 1.33/1.53 (define @t956 () (=> @t885 @t955)) % 1.33/1.53 (define @t957 () (forall @t887 @t956)) % 1.33/1.53 (define @t958 () (= tptp.funcGraphProp1 @t957)) % 1.33/1.53 (define @t959 () (=> @t905 @t955)) % 1.33/1.53 (define @t960 () (forall @t887 @t959)) % 1.33/1.53 (define @t961 () (= tptp.funcGraphProp3 @t960)) % 1.33/1.53 (define @t962 () (=> @t879 (= @t897 @t19))) % 1.33/1.53 (define @t963 () (=> @t354 @t962)) % 1.33/1.53 (define @t964 () (forall @t70 @t963)) % 1.33/1.53 (define @t965 () (=> @t7 @t964)) % 1.33/1.53 (define @t966 () (forall @t9 @t965)) % 1.33/1.53 (define @t967 () (=> @t885 @t966)) % 1.33/1.53 (define @t968 () (forall @t887 @t967)) % 1.33/1.53 (define @t969 () (= tptp.funcGraphProp2 @t968)) % 1.33/1.53 (define @t970 () (@var "Xg" $$unsorted)) % 1.33/1.53 (define @t971 () (_ @t669 @t970)) % 1.33/1.53 (define @t972 () (=> @t971 @t879)) % 1.33/1.53 (define @t973 () (forall @t70 (=> @t354 @t972))) % 1.33/1.53 (define @t974 () (=> @t7 @t973)) % 1.33/1.53 (define @t975 () (forall @t9 @t974)) % 1.33/1.53 (define @t976 () (_ (_ @t896 @t970) @t4)) % 1.33/1.53 (define @t977 () (= @t897 @t976)) % 1.33/1.53 (define @t978 () (forall @t9 (=> @t7 @t977))) % 1.33/1.53 (define @t979 () (=> @t978 @t975)) % 1.33/1.53 (define @t980 () (_ @t884 @t970)) % 1.33/1.53 (define @t981 () (=> @t980 @t979)) % 1.33/1.53 (define @t982 () (@list @t970)) % 1.33/1.53 (define @t983 () (forall @t982 @t981)) % 1.33/1.53 (define @t984 () (=> @t885 @t983)) % 1.33/1.53 (define @t985 () (forall @t887 @t984)) % 1.33/1.53 (define @t986 () (= tptp.funcextLem @t985)) % 1.33/1.53 (define @t987 () (=> @t905 @t966)) % 1.33/1.53 (define @t988 () (forall @t887 @t987)) % 1.33/1.53 (define @t989 () (= tptp.funcGraphProp4 @t988)) % 1.33/1.53 (define @t990 () (@var "S" $$unsorted)) % 1.33/1.53 (define @t991 () (_ tptp.subset @t933)) % 1.33/1.53 (define @t992 () (_ @t991 @t990)) % 1.33/1.53 (define @t993 () (_ @t669 @t990)) % 1.33/1.53 (define @t994 () (=> @t937 @t993)) % 1.33/1.53 (define @t995 () (forall @t70 (=> @t354 @t994))) % 1.33/1.53 (define @t996 () (=> @t7 @t995)) % 1.33/1.53 (define @t997 () (forall @t9 @t996)) % 1.33/1.53 (define @t998 () (=> @t997 @t992)) % 1.33/1.53 (define @t999 () (_ @t863 @t990)) % 1.33/1.53 (define @t1000 () (=> @t999 @t998)) % 1.33/1.53 (define @t1001 () (@list @t990)) % 1.33/1.53 (define @t1002 () (forall @t1001 @t1000)) % 1.33/1.53 (define @t1003 () (=> @t944 @t1002)) % 1.33/1.53 (define @t1004 () (forall @t946 @t1003)) % 1.33/1.53 (define @t1005 () (= tptp.subbreln @t1004)) % 1.33/1.53 (define @t1006 () (= @t933 @t990)) % 1.33/1.53 (define @t1007 () (=> @t993 @t937)) % 1.33/1.53 (define @t1008 () (forall @t70 (=> @t354 @t1007))) % 1.33/1.53 (define @t1009 () (=> @t7 @t1008)) % 1.33/1.53 (define @t1010 () (forall @t9 @t1009)) % 1.33/1.53 (define @t1011 () (=> @t1010 @t1006)) % 1.33/1.53 (define @t1012 () (=> @t997 @t1011)) % 1.33/1.53 (define @t1013 () (=> @t999 @t1012)) % 1.33/1.53 (define @t1014 () (forall @t1001 @t1013)) % 1.33/1.53 (define @t1015 () (=> @t944 @t1014)) % 1.33/1.53 (define @t1016 () (forall @t946 @t1015)) % 1.33/1.53 (define @t1017 () (= tptp.eqbreln @t1016)) % 1.33/1.53 (define @t1018 () (= @t878 @t970)) % 1.33/1.53 (define @t1019 () (=> @t978 @t1018)) % 1.33/1.53 (define @t1020 () (=> @t980 @t1019)) % 1.33/1.53 (define @t1021 () (forall @t982 @t1020)) % 1.33/1.53 (define @t1022 () (=> @t885 @t1021)) % 1.33/1.53 (define @t1023 () (forall @t887 @t1022)) % 1.33/1.53 (define @t1024 () (= tptp.funcext @t1023)) % 1.33/1.53 (define @t1025 () (_ tptp.in @t970)) % 1.33/1.53 (define @t1026 () (_ @t1025 @t903)) % 1.33/1.53 (define @t1027 () (=> @t1026 @t1019)) % 1.33/1.53 (define @t1028 () (forall @t982 @t1027)) % 1.33/1.53 (define @t1029 () (=> @t905 @t1028)) % 1.33/1.53 (define @t1030 () (forall @t887 @t1029)) % 1.33/1.53 (define @t1031 () (= tptp.funcext2 @t1030)) % 1.33/1.53 (define @t1032 () (=> @t7 (= @t897 @t897))) % 1.33/1.53 (define @t1033 () (forall @t9 @t1032)) % 1.33/1.53 (define @t1034 () (=> @t905 @t1033)) % 1.33/1.53 (define @t1035 () (forall @t887 @t1034)) % 1.33/1.53 (define @t1036 () (= tptp.ap2apEq1 @t1035)) % 1.33/1.53 (define @t1037 () (=> @t885 @t1033)) % 1.33/1.53 (define @t1038 () (forall @t887 @t1037)) % 1.33/1.53 (define @t1039 () (= tptp.ap2apEq2 @t1038)) % 1.33/1.53 (define @t1040 () (_ @t913 @t19)) % 1.33/1.53 (define @t1041 () (lambda @t70 @t1040)) % 1.33/1.53 (define @t1042 () (_ @t923 @t1041)) % 1.33/1.53 (define @t1043 () (_ (_ @t896 @t1042) @t4)) % 1.33/1.53 (define @t1044 () (=> @t7 (= @t1043 @t914))) % 1.33/1.53 (define @t1045 () (forall @t9 @t1044)) % 1.33/1.53 (define @t1046 () (=> @t917 @t1045)) % 1.33/1.53 (define @t1047 () (forall @t919 @t1046)) % 1.33/1.53 (define @t1048 () (= tptp.beta1 @t1047)) % 1.33/1.53 (define @t1049 () (lambda @t9 @t897)) % 1.33/1.53 (define @t1050 () (_ @t923 @t1049)) % 1.33/1.53 (define @t1051 () (= @t1050 @t878)) % 1.33/1.53 (define @t1052 () (=> @t885 @t1051)) % 1.33/1.53 (define @t1053 () (forall @t887 @t1052)) % 1.33/1.53 (define @t1054 () (= tptp.eta1 @t1053)) % 1.33/1.53 (define @t1055 () (=> @t917 (= @t924 @t924))) % 1.33/1.53 (define @t1056 () (forall @t919 @t1055)) % 1.33/1.53 (define @t1057 () (= tptp.lam2lamEq @t1056)) % 1.33/1.53 (define @t1058 () (=> @t905 @t1051)) % 1.33/1.53 (define @t1059 () (forall @t887 @t1058)) % 1.33/1.53 (define @t1060 () (= tptp.eta2 @t1059)) % 1.33/1.53 (define @t1061 () (not @t173)) % 1.33/1.53 (define @t1062 () (and @t1061 @t290)) % 1.33/1.53 (define @t1063 () (and @t173 @t291)) % 1.33/1.53 (define @t1064 () (or @t1063 @t1062)) % 1.33/1.53 (define @t1065 () (@list @t289)) % 1.33/1.53 (define @t1066 () (lambda @t1065 @t1064)) % 1.33/1.53 (define @t1067 () (_ @t155 @t1066)) % 1.33/1.53 (define @t1068 () (=> @t1061 (_ @t20 @t1067))) % 1.33/1.53 (define @t1069 () (=> @t21 @t1068)) % 1.33/1.53 (define @t1070 () (forall @t70 @t1069)) % 1.33/1.53 (define @t1071 () (=> @t7 @t1070)) % 1.33/1.53 (define @t1072 () (@list @t2 @t173 @t4)) % 1.33/1.53 (define @t1073 () (forall @t1072 @t1071)) % 1.33/1.53 (define @t1074 () (= tptp.iffalseProp1 @t1073)) % 1.33/1.53 (define @t1075 () (= @t1067 @t275)) % 1.33/1.53 (define @t1076 () (=> @t1061 @t1075)) % 1.33/1.53 (define @t1077 () (=> @t21 @t1076)) % 1.33/1.53 (define @t1078 () (forall @t70 @t1077)) % 1.33/1.53 (define @t1079 () (=> @t7 @t1078)) % 1.33/1.53 (define @t1080 () (forall @t1072 @t1079)) % 1.33/1.53 (define @t1081 () (= tptp.iffalseProp2 @t1080)) % 1.33/1.53 (define @t1082 () (=> @t173 (_ @t5 @t1067))) % 1.33/1.53 (define @t1083 () (=> @t21 @t1082)) % 1.33/1.53 (define @t1084 () (forall @t70 @t1083)) % 1.33/1.53 (define @t1085 () (=> @t7 @t1084)) % 1.33/1.53 (define @t1086 () (forall @t1072 @t1085)) % 1.33/1.53 (define @t1087 () (= tptp.iftrueProp1 @t1086)) % 1.33/1.53 (define @t1088 () (= @t1067 @t279)) % 1.33/1.53 (define @t1089 () (=> @t173 @t1088)) % 1.33/1.53 (define @t1090 () (=> @t21 @t1089)) % 1.33/1.53 (define @t1091 () (forall @t70 @t1090)) % 1.33/1.53 (define @t1092 () (=> @t7 @t1091)) % 1.33/1.53 (define @t1093 () (forall @t1072 @t1092)) % 1.33/1.53 (define @t1094 () (= tptp.iftrueProp2 @t1093)) % 1.33/1.53 (define @t1095 () (=> @t21 (_ tptp.singleton @t1067))) % 1.33/1.53 (define @t1096 () (forall @t70 @t1095)) % 1.33/1.53 (define @t1097 () (=> @t7 @t1096)) % 1.33/1.53 (define @t1098 () (forall @t1072 @t1097)) % 1.33/1.53 (define @t1099 () (= tptp.ifSingleton @t1098)) % 1.33/1.53 (define @t1100 () (_ (_ (_ (_ tptp.if @t2) @t173) @t4) @t19)) % 1.33/1.53 (define @t1101 () (_ tptp.in @t1100)) % 1.33/1.53 (define @t1102 () (_ @t1101 @t2)) % 1.33/1.53 (define @t1103 () (forall @t70 (=> @t21 @t1102))) % 1.33/1.53 (define @t1104 () (=> @t7 @t1103)) % 1.33/1.53 (define @t1105 () (forall @t1072 @t1104)) % 1.33/1.53 (define @t1106 () (= tptp.ifp @t1105)) % 1.33/1.53 (define @t1107 () (=> @t696 (= @t759 @t4))) % 1.33/1.53 (define @t1108 () (forall @t9 @t1107)) % 1.33/1.53 (define @t1109 () (=> @t761 @t1108)) % 1.33/1.53 (define @t1110 () (forall @t700 @t1109)) % 1.33/1.53 (define @t1111 () (= tptp.theeq @t1110)) % 1.33/1.53 (define @t1112 () (=> @t173 (= @t1100 @t4))) % 1.33/1.53 (define @t1113 () (=> @t21 @t1112)) % 1.33/1.53 (define @t1114 () (forall @t70 @t1113)) % 1.33/1.53 (define @t1115 () (=> @t7 @t1114)) % 1.33/1.53 (define @t1116 () (forall @t1072 @t1115)) % 1.33/1.53 (define @t1117 () (= tptp.iftrue @t1116)) % 1.33/1.53 (define @t1118 () (=> @t1061 (= @t1100 @t19))) % 1.33/1.53 (define @t1119 () (=> @t21 @t1118)) % 1.33/1.53 (define @t1120 () (forall @t70 @t1119)) % 1.33/1.53 (define @t1121 () (=> @t7 @t1120)) % 1.33/1.53 (define @t1122 () (forall @t1072 @t1121)) % 1.33/1.53 (define @t1123 () (= tptp.iffalse @t1122)) % 1.33/1.53 (define @t1124 () (_ @t1101 @t293)) % 1.33/1.53 (define @t1125 () (forall @t70 (=> @t21 @t1124))) % 1.33/1.53 (define @t1126 () (=> @t7 @t1125)) % 1.33/1.53 (define @t1127 () (forall @t1072 @t1126)) % 1.33/1.53 (define @t1128 () (= tptp.iftrueorfalse @t1127)) % 1.33/1.53 (define @t1129 () (@var "Y" $$unsorted)) % 1.33/1.53 (define @t1130 () (_ (_ tptp.binintersect @t695) @t1129)) % 1.33/1.53 (define @t1131 () (_ (_ tptp.in @t1130) @t33)) % 1.33/1.53 (define @t1132 () (_ tptp.in @t1129)) % 1.33/1.53 (define @t1133 () (_ @t1132 @t33)) % 1.33/1.53 (define @t1134 () (@list @t1129)) % 1.33/1.53 (define @t1135 () (forall @t1134 (=> @t1133 @t1131))) % 1.33/1.53 (define @t1136 () (_ @t697 @t33)) % 1.33/1.53 (define @t1137 () (=> @t1136 @t1135)) % 1.33/1.53 (define @t1138 () (@list @t2 @t695)) % 1.33/1.53 (define @t1139 () (forall @t1138 @t1137)) % 1.33/1.53 (define @t1140 () (= tptp.binintersectT_lem @t1139)) % 1.33/1.53 (define @t1141 () (_ tptp.binunion @t695)) % 1.33/1.53 (define @t1142 () (_ @t1141 @t1129)) % 1.33/1.53 (define @t1143 () (_ (_ tptp.in @t1142) @t33)) % 1.33/1.53 (define @t1144 () (forall @t1134 (=> @t1133 @t1143))) % 1.33/1.53 (define @t1145 () (=> @t1136 @t1144)) % 1.33/1.53 (define @t1146 () (forall @t1138 @t1145)) % 1.33/1.53 (define @t1147 () (= tptp.binunionT_lem @t1146)) % 1.33/1.53 (define @t1148 () (_ tptp.powerset @t33)) % 1.33/1.53 (define @t1149 () (_ tptp.powerset @t695)) % 1.33/1.53 (define @t1150 () (_ (_ tptp.in @t1149) @t1148)) % 1.33/1.53 (define @t1151 () (forall @t1138 (=> @t1136 @t1150))) % 1.33/1.53 (define @t1152 () (= tptp.powersetT_lem @t1151)) % 1.33/1.53 (define @t1153 () (_ (_ tptp.setminus @t695) @t1129)) % 1.33/1.53 (define @t1154 () (_ (_ tptp.in @t1153) @t33)) % 1.33/1.53 (define @t1155 () (forall @t1134 (=> @t1133 @t1154))) % 1.33/1.53 (define @t1156 () (=> @t1136 @t1155)) % 1.33/1.53 (define @t1157 () (forall @t1138 @t1156)) % 1.33/1.53 (define @t1158 () (= tptp.setminusT_lem @t1157)) % 1.33/1.53 (define @t1159 () (_ @t567 @t695)) % 1.33/1.53 (define @t1160 () (_ tptp.in @t1159)) % 1.33/1.53 (define @t1161 () (_ @t1160 @t33)) % 1.33/1.53 (define @t1162 () (forall @t1138 (=> @t1136 @t1161))) % 1.33/1.53 (define @t1163 () (= tptp.complementT_lem @t1162)) % 1.33/1.53 (define @t1164 () (= @t695 @t1129)) % 1.33/1.53 (define @t1165 () (_ @t5 @t1129)) % 1.33/1.53 (define @t1166 () (=> @t1165 @t696)) % 1.33/1.53 (define @t1167 () (forall @t9 (=> @t7 @t1166))) % 1.33/1.53 (define @t1168 () (=> @t1167 @t1164)) % 1.33/1.53 (define @t1169 () (=> @t696 @t1165)) % 1.33/1.53 (define @t1170 () (forall @t9 (=> @t7 @t1169))) % 1.33/1.53 (define @t1171 () (=> @t1170 @t1168)) % 1.33/1.53 (define @t1172 () (=> @t1133 @t1171)) % 1.33/1.53 (define @t1173 () (forall @t1134 @t1172)) % 1.33/1.53 (define @t1174 () (=> @t1136 @t1173)) % 1.33/1.53 (define @t1175 () (forall @t1138 @t1174)) % 1.33/1.53 (define @t1176 () (= tptp.setextT @t1175)) % 1.33/1.53 (define @t1177 () (_ tptp.subset @t695)) % 1.33/1.53 (define @t1178 () (_ @t1177 @t1129)) % 1.33/1.53 (define @t1179 () (=> @t1170 @t1178)) % 1.33/1.53 (define @t1180 () (=> @t1133 @t1179)) % 1.33/1.53 (define @t1181 () (forall @t1134 @t1180)) % 1.33/1.53 (define @t1182 () (=> @t1136 @t1181)) % 1.33/1.53 (define @t1183 () (forall @t1138 @t1182)) % 1.33/1.53 (define @t1184 () (= tptp.subsetTI @t1183)) % 1.33/1.53 (define @t1185 () (_ tptp.powerset @t1129)) % 1.33/1.53 (define @t1186 () (_ @t697 @t1185)) % 1.33/1.53 (define @t1187 () (=> @t1170 @t1186)) % 1.33/1.53 (define @t1188 () (=> @t1133 @t1187)) % 1.33/1.53 (define @t1189 () (forall @t1134 @t1188)) % 1.33/1.53 (define @t1190 () (=> @t1136 @t1189)) % 1.33/1.53 (define @t1191 () (forall @t1138 @t1190)) % 1.33/1.53 (define @t1192 () (= tptp.powersetTI1 @t1191)) % 1.33/1.53 (define @t1193 () (=> @t1186 @t1169)) % 1.33/1.53 (define @t1194 () (forall @t9 (=> @t7 @t1193))) % 1.33/1.53 (define @t1195 () (=> @t1133 @t1194)) % 1.33/1.53 (define @t1196 () (forall @t1134 @t1195)) % 1.33/1.53 (define @t1197 () (=> @t1136 @t1196)) % 1.33/1.53 (define @t1198 () (forall @t1138 @t1197)) % 1.33/1.53 (define @t1199 () (= tptp.powersetTE1 @t1198)) % 1.33/1.53 (define @t1200 () (_ @t5 @t1159)) % 1.33/1.53 (define @t1201 () (not @t1200)) % 1.33/1.53 (define @t1202 () (=> @t696 @t1201)) % 1.33/1.53 (define @t1203 () (forall @t9 (=> @t7 @t1202))) % 1.33/1.53 (define @t1204 () (=> @t1136 @t1203)) % 1.33/1.53 (define @t1205 () (forall @t1138 @t1204)) % 1.33/1.53 (define @t1206 () (= tptp.complementTI1 @t1205)) % 1.33/1.53 (define @t1207 () (=> @t1201 @t696)) % 1.33/1.53 (define @t1208 () (forall @t9 (=> @t7 @t1207))) % 1.33/1.53 (define @t1209 () (=> @t1136 @t1208)) % 1.33/1.53 (define @t1210 () (forall @t1138 @t1209)) % 1.33/1.53 (define @t1211 () (= tptp.complementTE1 @t1210)) % 1.33/1.53 (define @t1212 () (_ @t5 @t1130)) % 1.33/1.53 (define @t1213 () (not @t1212)) % 1.33/1.53 (define @t1214 () (not @t696)) % 1.33/1.53 (define @t1215 () (=> @t1214 @t1213)) % 1.33/1.53 (define @t1216 () (forall @t9 (=> @t7 @t1215))) % 1.33/1.53 (define @t1217 () (=> @t1133 @t1216)) % 1.33/1.53 (define @t1218 () (forall @t1134 @t1217)) % 1.33/1.53 (define @t1219 () (=> @t1136 @t1218)) % 1.33/1.53 (define @t1220 () (forall @t1138 @t1219)) % 1.33/1.53 (define @t1221 () (= tptp.binintersectTELcontra @t1220)) % 1.33/1.53 (define @t1222 () (not @t1165)) % 1.33/1.53 (define @t1223 () (=> @t1222 @t1213)) % 1.33/1.53 (define @t1224 () (forall @t9 (=> @t7 @t1223))) % 1.33/1.53 (define @t1225 () (=> @t1133 @t1224)) % 1.33/1.53 (define @t1226 () (forall @t1134 @t1225)) % 1.33/1.53 (define @t1227 () (=> @t1136 @t1226)) % 1.33/1.53 (define @t1228 () (forall @t1138 @t1227)) % 1.33/1.53 (define @t1229 () (= tptp.binintersectTERcontra @t1228)) % 1.33/1.53 (define @t1230 () (=> @t1165 @t1214)) % 1.33/1.53 (define @t1231 () (_ @t567 @t1129)) % 1.33/1.53 (define @t1232 () (_ @t1177 @t1231)) % 1.33/1.53 (define @t1233 () (=> @t1232 @t1230)) % 1.33/1.53 (define @t1234 () (forall @t9 (=> @t7 @t1233))) % 1.33/1.53 (define @t1235 () (=> @t1133 @t1234)) % 1.33/1.53 (define @t1236 () (forall @t1134 @t1235)) % 1.33/1.53 (define @t1237 () (=> @t1136 @t1236)) % 1.33/1.53 (define @t1238 () (forall @t1138 @t1237)) % 1.33/1.53 (define @t1239 () (= tptp.contrasubsetT @t1238)) % 1.33/1.53 (define @t1240 () (=> @t1222 @t1214)) % 1.33/1.53 (define @t1241 () (=> @t1178 @t1240)) % 1.33/1.53 (define @t1242 () (forall @t9 (=> @t7 @t1241))) % 1.33/1.53 (define @t1243 () (=> @t1133 @t1242)) % 1.33/1.53 (define @t1244 () (forall @t1134 @t1243)) % 1.33/1.53 (define @t1245 () (=> @t1136 @t1244)) % 1.33/1.53 (define @t1246 () (forall @t1138 @t1245)) % 1.33/1.53 (define @t1247 () (= tptp.contrasubsetT1 @t1246)) % 1.33/1.53 (define @t1248 () (_ (_ tptp.subset @t1231) @t1159)) % 1.33/1.53 (define @t1249 () (=> @t1178 @t1248)) % 1.33/1.53 (define @t1250 () (forall @t1134 (=> @t1133 @t1249))) % 1.33/1.53 (define @t1251 () (=> @t1136 @t1250)) % 1.33/1.53 (define @t1252 () (forall @t1138 @t1251)) % 1.33/1.53 (define @t1253 () (= tptp.contrasubsetT2 @t1252)) % 1.33/1.53 (define @t1254 () (=> @t1248 @t1178)) % 1.33/1.53 (define @t1255 () (forall @t1134 (=> @t1133 @t1254))) % 1.33/1.53 (define @t1256 () (=> @t1136 @t1255)) % 1.33/1.53 (define @t1257 () (forall @t1138 @t1256)) % 1.33/1.53 (define @t1258 () (= tptp.contrasubsetT3 @t1257)) % 1.33/1.53 (define @t1259 () (_ @t567 @t1159)) % 1.33/1.53 (define @t1260 () (_ @t5 @t1259)) % 1.33/1.53 (define @t1261 () (=> @t696 @t1260)) % 1.33/1.53 (define @t1262 () (forall @t9 (=> @t7 @t1261))) % 1.33/1.53 (define @t1263 () (=> @t1136 @t1262)) % 1.33/1.53 (define @t1264 () (forall @t1138 @t1263)) % 1.33/1.53 (define @t1265 () (= tptp.doubleComplementI1 @t1264)) % 1.33/1.53 (define @t1266 () (=> @t1260 @t696)) % 1.33/1.53 (define @t1267 () (forall @t9 (=> @t7 @t1266))) % 1.33/1.53 (define @t1268 () (=> @t1136 @t1267)) % 1.33/1.53 (define @t1269 () (forall @t1138 @t1268)) % 1.33/1.53 (define @t1270 () (= tptp.doubleComplementE1 @t1269)) % 1.33/1.53 (define @t1271 () (_ @t1177 @t1259)) % 1.33/1.53 (define @t1272 () (forall @t1138 (=> @t1136 @t1271))) % 1.33/1.53 (define @t1273 () (= tptp.doubleComplementSub1 @t1272)) % 1.33/1.53 (define @t1274 () (_ (_ tptp.subset @t1259) @t695)) % 1.33/1.53 (define @t1275 () (forall @t1138 (=> @t1136 @t1274))) % 1.33/1.53 (define @t1276 () (= tptp.doubleComplementSub2 @t1275)) % 1.33/1.53 (define @t1277 () (= @t695 @t1259)) % 1.33/1.53 (define @t1278 () (forall @t1138 (=> @t1136 @t1277))) % 1.33/1.53 (define @t1279 () (= tptp.doubleComplementEq @t1278)) % 1.33/1.53 (define @t1280 () (=> @t1200 @t1213)) % 1.33/1.53 (define @t1281 () (forall @t9 (=> @t7 @t1280))) % 1.33/1.53 (define @t1282 () (=> @t1133 @t1281)) % 1.33/1.53 (define @t1283 () (forall @t1134 @t1282)) % 1.33/1.53 (define @t1284 () (=> @t1136 @t1283)) % 1.33/1.53 (define @t1285 () (forall @t1138 @t1284)) % 1.33/1.53 (define @t1286 () (= tptp.complementTnotintersectT @t1285)) % 1.33/1.53 (define @t1287 () (_ @t567 @t1130)) % 1.33/1.53 (define @t1288 () (_ @t5 @t1287)) % 1.33/1.53 (define @t1289 () (=> @t1200 @t1288)) % 1.33/1.53 (define @t1290 () (forall @t9 (=> @t7 @t1289))) % 1.33/1.53 (define @t1291 () (=> @t1133 @t1290)) % 1.33/1.53 (define @t1292 () (forall @t1134 @t1291)) % 1.33/1.53 (define @t1293 () (=> @t1136 @t1292)) % 1.33/1.53 (define @t1294 () (forall @t1138 @t1293)) % 1.33/1.53 (define @t1295 () (= tptp.complementImpComplementIntersect @t1294)) % 1.33/1.53 (define @t1296 () (_ (_ tptp.subset @t1159) @t1287)) % 1.33/1.53 (define @t1297 () (forall @t1134 (=> @t1133 @t1296))) % 1.33/1.53 (define @t1298 () (=> @t1136 @t1297)) % 1.33/1.53 (define @t1299 () (forall @t1138 @t1298)) % 1.33/1.53 (define @t1300 () (= tptp.complementSubsetComplementIntersect @t1299)) % 1.33/1.53 (define @t1301 () (_ tptp.powerset @t1287)) % 1.33/1.53 (define @t1302 () (_ @t1160 @t1301)) % 1.33/1.53 (define @t1303 () (forall @t1134 (=> @t1133 @t1302))) % 1.33/1.53 (define @t1304 () (=> @t1136 @t1303)) % 1.33/1.53 (define @t1305 () (forall @t1138 @t1304)) % 1.33/1.53 (define @t1306 () (= tptp.complementInPowersetComplementIntersect @t1305)) % 1.33/1.53 (define @t1307 () (=> @t1165 @t1200)) % 1.33/1.53 (define @t1308 () (forall @t9 (=> @t7 @t1307))) % 1.33/1.53 (define @t1309 () (=> @t1232 @t1308)) % 1.33/1.53 (define @t1310 () (=> @t1133 @t1309)) % 1.33/1.53 (define @t1311 () (forall @t1134 @t1310)) % 1.33/1.53 (define @t1312 () (=> @t1136 @t1311)) % 1.33/1.53 (define @t1313 () (forall @t1138 @t1312)) % 1.33/1.53 (define @t1314 () (= tptp.contraSubsetComplement @t1313)) % 1.33/1.53 (define @t1315 () (_ tptp.subset @t1129)) % 1.33/1.53 (define @t1316 () (_ @t1315 @t1159)) % 1.33/1.53 (define @t1317 () (=> @t1232 @t1316)) % 1.33/1.53 (define @t1318 () (forall @t1134 (=> @t1133 @t1317))) % 1.33/1.53 (define @t1319 () (=> @t1136 @t1318)) % 1.33/1.53 (define @t1320 () (forall @t1138 @t1319)) % 1.33/1.53 (define @t1321 () (= tptp.complementTcontraSubset @t1320)) % 1.33/1.53 (define @t1322 () (_ @t5 @t1142)) % 1.33/1.53 (define @t1323 () (not @t1322)) % 1.33/1.53 (define @t1324 () (=> @t1323 @t1214)) % 1.33/1.53 (define @t1325 () (forall @t9 (=> @t7 @t1324))) % 1.33/1.53 (define @t1326 () (=> @t1133 @t1325)) % 1.33/1.53 (define @t1327 () (forall @t1134 @t1326)) % 1.33/1.53 (define @t1328 () (=> @t1136 @t1327)) % 1.33/1.53 (define @t1329 () (forall @t1138 @t1328)) % 1.33/1.53 (define @t1330 () (= tptp.binunionTILcontra @t1329)) % 1.33/1.53 (define @t1331 () (=> @t1323 @t1222)) % 1.33/1.53 (define @t1332 () (forall @t9 (=> @t7 @t1331))) % 1.33/1.53 (define @t1333 () (=> @t1133 @t1332)) % 1.33/1.53 (define @t1334 () (forall @t1134 @t1333)) % 1.33/1.53 (define @t1335 () (=> @t1136 @t1334)) % 1.33/1.53 (define @t1336 () (forall @t1138 @t1335)) % 1.33/1.53 (define @t1337 () (= tptp.binunionTIRcontra @t1336)) % 1.33/1.53 (define @t1338 () (@var "Z" $$unsorted)) % 1.33/1.53 (define @t1339 () (_ @t1141 @t1338)) % 1.33/1.53 (define @t1340 () (_ @t5 @t1339)) % 1.33/1.53 (define @t1341 () (=> @t1212 @t1340)) % 1.33/1.53 (define @t1342 () (forall @t9 (=> @t7 @t1341))) % 1.33/1.53 (define @t1343 () (_ tptp.in @t1338)) % 1.33/1.53 (define @t1344 () (_ @t1343 @t33)) % 1.33/1.53 (define @t1345 () (=> @t1344 @t1342)) % 1.33/1.53 (define @t1346 () (@list @t1338)) % 1.33/1.53 (define @t1347 () (forall @t1346 @t1345)) % 1.33/1.53 (define @t1348 () (=> @t1133 @t1347)) % 1.33/1.53 (define @t1349 () (forall @t1134 @t1348)) % 1.33/1.53 (define @t1350 () (=> @t1136 @t1349)) % 1.33/1.53 (define @t1351 () (forall @t1138 @t1350)) % 1.33/1.53 (define @t1352 () (= tptp.inIntersectImpInUnion @t1351)) % 1.33/1.53 (define @t1353 () (_ (_ tptp.binunion @t1129) @t1338)) % 1.33/1.53 (define @t1354 () (_ @t5 @t1353)) % 1.33/1.53 (define @t1355 () (=> @t1212 @t1354)) % 1.33/1.53 (define @t1356 () (forall @t9 (=> @t7 @t1355))) % 1.33/1.53 (define @t1357 () (=> @t1344 @t1356)) % 1.33/1.53 (define @t1358 () (forall @t1346 @t1357)) % 1.33/1.53 (define @t1359 () (=> @t1133 @t1358)) % 1.33/1.53 (define @t1360 () (forall @t1134 @t1359)) % 1.33/1.53 (define @t1361 () (=> @t1136 @t1360)) % 1.33/1.53 (define @t1362 () (forall @t1138 @t1361)) % 1.33/1.53 (define @t1363 () (=> tptp.inIntersectImpInUnion @t1362)) % 1.33/1.53 (define @t1364 () (=> tptp.binunionTIRcontra @t1363)) % 1.33/1.53 (define @t1365 () (=> tptp.binunionTILcontra @t1364)) % 1.33/1.53 (define @t1366 () (=> tptp.complementTcontraSubset @t1365)) % 1.33/1.53 (define @t1367 () (=> tptp.contraSubsetComplement @t1366)) % 1.33/1.53 (define @t1368 () (=> tptp.complementInPowersetComplementIntersect @t1367)) % 1.33/1.53 (define @t1369 () (=> tptp.complementSubsetComplementIntersect @t1368)) % 1.33/1.53 (define @t1370 () (=> tptp.complementImpComplementIntersect @t1369)) % 1.33/1.53 (define @t1371 () (=> tptp.complementTnotintersectT @t1370)) % 1.33/1.53 (define @t1372 () (=> tptp.doubleComplementEq @t1371)) % 1.33/1.53 (define @t1373 () (=> tptp.doubleComplementSub2 @t1372)) % 1.33/1.53 (define @t1374 () (=> tptp.doubleComplementSub1 @t1373)) % 1.33/1.53 (define @t1375 () (=> tptp.doubleComplementE1 @t1374)) % 1.33/1.53 (define @t1376 () (=> tptp.doubleComplementI1 @t1375)) % 1.33/1.53 (define @t1377 () (=> tptp.contrasubsetT3 @t1376)) % 1.33/1.53 (define @t1378 () (=> tptp.contrasubsetT2 @t1377)) % 1.33/1.53 (define @t1379 () (=> tptp.contrasubsetT1 @t1378)) % 1.33/1.53 (define @t1380 () (=> tptp.contrasubsetT @t1379)) % 1.33/1.53 (define @t1381 () (=> tptp.binintersectTERcontra @t1380)) % 1.33/1.53 (define @t1382 () (=> tptp.binintersectTELcontra @t1381)) % 1.33/1.53 (define @t1383 () (=> tptp.complementTE1 @t1382)) % 1.33/1.53 (define @t1384 () (=> tptp.complementTI1 @t1383)) % 1.33/1.53 (define @t1385 () (=> tptp.powersetTE1 @t1384)) % 1.33/1.53 (define @t1386 () (=> tptp.powersetTI1 @t1385)) % 1.33/1.53 (define @t1387 () (=> tptp.subsetTI @t1386)) % 1.33/1.53 (define @t1388 () (=> tptp.setextT @t1387)) % 1.33/1.53 (define @t1389 () (=> tptp.complementT_lem @t1388)) % 1.33/1.53 (define @t1390 () (=> tptp.setminusT_lem @t1389)) % 1.33/1.53 (define @t1391 () (=> tptp.powersetT_lem @t1390)) % 1.33/1.53 (define @t1392 () (=> tptp.binunionT_lem @t1391)) % 1.33/1.53 (define @t1393 () (=> tptp.binintersectT_lem @t1392)) % 1.33/1.53 (define @t1394 () (=> tptp.iftrueorfalse @t1393)) % 1.33/1.53 (define @t1395 () (=> tptp.iffalse @t1394)) % 1.33/1.53 (define @t1396 () (=> tptp.iftrue @t1395)) % 1.33/1.53 (define @t1397 () (=> tptp.theeq @t1396)) % 1.33/1.53 (define @t1398 () (=> tptp.ifp @t1397)) % 1.33/1.53 (define @t1399 () (=> tptp.ifSingleton @t1398)) % 1.33/1.53 (define @t1400 () (=> tptp.iftrueProp2 @t1399)) % 1.33/1.53 (define @t1401 () (=> tptp.iftrueProp1 @t1400)) % 1.33/1.53 (define @t1402 () (=> tptp.iffalseProp2 @t1401)) % 1.33/1.53 (define @t1403 () (=> tptp.iffalseProp1 @t1402)) % 1.33/1.53 (define @t1404 () (=> tptp.eta2 @t1403)) % 1.33/1.53 (define @t1405 () (=> tptp.beta2 @t1404)) % 1.33/1.53 (define @t1406 () (=> tptp.lam2lamEq @t1405)) % 1.33/1.53 (define @t1407 () (=> tptp.eta1 @t1406)) % 1.33/1.53 (define @t1408 () (=> tptp.beta1 @t1407)) % 1.33/1.53 (define @t1409 () (=> tptp.ap2apEq2 @t1408)) % 1.33/1.53 (define @t1410 () (=> tptp.ap2apEq1 @t1409)) % 1.33/1.53 (define @t1411 () (=> tptp.funcext2 @t1410)) % 1.33/1.53 (define @t1412 () (=> tptp.funcext @t1411)) % 1.33/1.53 (define @t1413 () (=> tptp.eqbreln @t1412)) % 1.33/1.53 (define @t1414 () (=> tptp.subbreln @t1413)) % 1.33/1.53 (define @t1415 () (=> tptp.funcGraphProp4 @t1414)) % 1.33/1.53 (define @t1416 () (=> tptp.funcextLem @t1415)) % 1.33/1.53 (define @t1417 () (=> tptp.funcGraphProp2 @t1416)) % 1.33/1.53 (define @t1418 () (=> tptp.funcGraphProp3 @t1417)) % 1.33/1.53 (define @t1419 () (=> tptp.funcGraphProp1 @t1418)) % 1.33/1.53 (define @t1420 () (=> tptp.ex1E2 @t1419)) % 1.33/1.53 (define @t1421 () (=> tptp.brelnall2 @t1420)) % 1.33/1.53 (define @t1422 () (=> tptp.brelnall1 @t1421)) % 1.33/1.53 (define @t1423 () (=> tptp.lam2p @t1422)) % 1.33/1.53 (define @t1424 () (=> tptp.lamp @t1423)) % 1.33/1.53 (define @t1425 () (=> tptp.lamProp @t1424)) % 1.33/1.53 (define @t1426 () (=> tptp.funcinfuncset @t1425)) % 1.33/1.53 (define @t1427 () (=> tptp.ap2p @t1426)) % 1.33/1.53 (define @t1428 () (=> tptp.infuncsetfunc @t1427)) % 1.33/1.53 (define @t1429 () (=> tptp.app @t1428)) % 1.33/1.53 (define @t1430 () (=> tptp.apProp @t1429)) % 1.33/1.53 (define @t1431 () (=> tptp.funcImageSingleton @t1430)) % 1.33/1.53 (define @t1432 () (=> tptp.dpsetconstrER @t1431)) % 1.33/1.53 (define @t1433 () (=> tptp.dpsetconstrEL2 @t1432)) % 1.33/1.53 (define @t1434 () (=> tptp.dpsetconstrEL1 @t1433)) % 1.33/1.53 (define @t1435 () (=> tptp.dpsetconstrERa @t1434)) % 1.33/1.53 (define @t1436 () (=> tptp.setOfPairsIsBReln @t1435)) % 1.33/1.53 (define @t1437 () (=> tptp.dpsetconstrSub @t1436)) % 1.33/1.53 (define @t1438 () (=> tptp.dpsetconstrI @t1437)) % 1.33/1.53 (define @t1439 () (=> tptp.cartprodpairsurjEq @t1438)) % 1.33/1.53 (define @t1440 () (=> tptp.cartprodsndpairEq @t1439)) % 1.33/1.53 (define @t1441 () (=> tptp.cartprodfstpairEq @t1440)) % 1.33/1.53 (define @t1442 () (=> tptp.cartprodmempaircEq @t1441)) % 1.33/1.53 (define @t1443 () (=> tptp.cartprodpairmemER @t1442)) % 1.33/1.53 (define @t1444 () (=> tptp.cartprodpairmemEL @t1443)) % 1.33/1.53 (define @t1445 () (=> tptp.cartprodsndin @t1444)) % 1.33/1.53 (define @t1446 () (=> tptp.kpairsurjEq @t1445)) % 1.33/1.53 (define @t1447 () (=> tptp.ksndpairEq @t1446)) % 1.33/1.53 (define @t1448 () (=> tptp.ksndsingleton @t1447)) % 1.33/1.53 (define @t1449 () (=> tptp.setukpairinjR @t1448)) % 1.33/1.53 (define @t1450 () (=> tptp.setukpairinjR2 @t1449)) % 1.33/1.53 (define @t1451 () (=> tptp.upairequniteq @t1450)) % 1.33/1.53 (define @t1452 () (=> tptp.setukpairinjR1 @t1451)) % 1.33/1.53 (define @t1453 () (=> tptp.setukpairinjR12 @t1452)) % 1.33/1.53 (define @t1454 () (=> tptp.setukpairinjR11 @t1453)) % 1.33/1.53 (define @t1455 () (=> tptp.setukpairinjL @t1454)) % 1.33/1.53 (define @t1456 () (=> tptp.setukpairinjL2 @t1455)) % 1.33/1.53 (define @t1457 () (=> tptp.cartprodfstin @t1456)) % 1.33/1.53 (define @t1458 () (=> tptp.kfstpairEq @t1457)) % 1.33/1.53 (define @t1459 () (=> tptp.theprop @t1458)) % 1.33/1.53 (define @t1460 () (=> tptp.kfstsingleton @t1459)) % 1.33/1.53 (define @t1461 () (=> tptp.setukpairinjL1 @t1460)) % 1.33/1.53 (define @t1462 () (=> tptp.singletonsuniq @t1461)) % 1.33/1.53 (define @t1463 () (=> tptp.ex1I2 @t1462)) % 1.33/1.53 (define @t1464 () (=> tptp.ex1I @t1463)) % 1.33/1.53 (define @t1465 () (=> tptp.ex1E1 @t1464)) % 1.33/1.53 (define @t1466 () (=> tptp.singletonprop @t1465)) % 1.33/1.53 (define @t1467 () (=> tptp.setunionsingleton @t1466)) % 1.33/1.53 (define @t1468 () (=> tptp.setunionsingleton2 @t1467)) % 1.33/1.53 (define @t1469 () (=> tptp.setunionsingleton1 @t1468)) % 1.33/1.53 (define @t1470 () (=> tptp.setunionE2 @t1469)) % 1.33/1.53 (define @t1471 () (=> tptp.cartprodmempair @t1470)) % 1.33/1.53 (define @t1472 () (=> tptp.cartprodmempair1 @t1471)) % 1.33/1.53 (define @t1473 () (=> tptp.cartprodpairin @t1472)) % 1.33/1.53 (define @t1474 () (=> tptp.ubforcartprodlem3 @t1473)) % 1.33/1.53 (define @t1475 () (=> tptp.ubforcartprodlem2 @t1474)) % 1.33/1.53 (define @t1476 () (=> tptp.ubforcartprodlem1 @t1475)) % 1.33/1.53 (define @t1477 () (=> tptp.upairinpowunion @t1476)) % 1.33/1.53 (define @t1478 () (=> tptp.upairsubunion @t1477)) % 1.33/1.53 (define @t1479 () (=> tptp.upairset2E @t1478)) % 1.33/1.53 (define @t1480 () (=> tptp.singletoninpowunion @t1479)) % 1.33/1.53 (define @t1481 () (=> tptp.singletoninpowerset @t1480)) % 1.33/1.53 (define @t1482 () (=> tptp.singletonsubset @t1481)) % 1.33/1.53 (define @t1483 () (=> tptp.kpairp @t1482)) % 1.33/1.53 (define @t1484 () (=> tptp.kpairiskpair @t1483)) % 1.33/1.53 (define @t1485 () (=> tptp.setukpairIR @t1484)) % 1.33/1.53 (define @t1486 () (=> tptp.setukpairIL @t1485)) % 1.33/1.53 (define @t1487 () (=> tptp.secondinupair @t1486)) % 1.33/1.53 (define @t1488 () (=> tptp.symdiffIneg2 @t1487)) % 1.33/1.53 (define @t1489 () (=> tptp.symdiffIneg1 @t1488)) % 1.33/1.53 (define @t1490 () (=> tptp.symdiffI2 @t1489)) % 1.33/1.53 (define @t1491 () (=> tptp.symdiffI1 @t1490)) % 1.33/1.53 (define @t1492 () (=> tptp.symdiffE @t1491)) % 1.33/1.53 (define @t1493 () (=> tptp.setminusSubset1 @t1492)) % 1.33/1.53 (define @t1494 () (=> tptp.setminusLsub @t1493)) % 1.33/1.53 (define @t1495 () (=> tptp.setminusIRneg @t1494)) % 1.33/1.53 (define @t1496 () (=> tptp.setminusILneg @t1495)) % 1.33/1.53 (define @t1497 () (=> tptp.setminusELneg @t1496)) % 1.33/1.53 (define @t1498 () (=> tptp.setminusERneg @t1497)) % 1.33/1.53 (define @t1499 () (=> tptp.setminusSubset2 @t1498)) % 1.33/1.53 (define @t1500 () (=> tptp.setminusER @t1499)) % 1.33/1.53 (define @t1501 () (=> tptp.setminusEL @t1500)) % 1.33/1.53 (define @t1502 () (=> tptp.setminusI @t1501)) % 1.33/1.53 (define @t1503 () (=> tptp.bs114d @t1502)) % 1.33/1.53 (define @t1504 () (=> tptp.binintersectSubset1 @t1503)) % 1.33/1.53 (define @t1505 () (=> tptp.binintersectSubset4 @t1504)) % 1.33/1.53 (define @t1506 () (=> tptp.binintersectRsub @t1505)) % 1.33/1.53 (define @t1507 () (=> tptp.disjointsetsI1 @t1506)) % 1.33/1.53 (define @t1508 () (=> tptp.binintersectER @t1507)) % 1.33/1.53 (define @t1509 () (=> tptp.binintersectSubset3 @t1508)) % 1.33/1.53 (define @t1510 () (=> tptp.binintersectSubset2 @t1509)) % 1.33/1.53 (define @t1511 () (=> tptp.binintersectLsub @t1510)) % 1.33/1.53 (define @t1512 () (=> tptp.binintersectEL @t1511)) % 1.33/1.53 (define @t1513 () (=> tptp.binintersectSubset5 @t1512)) % 1.33/1.53 (define @t1514 () (=> tptp.binintersectI @t1513)) % 1.33/1.53 (define @t1515 () (=> tptp.binunionRsub @t1514)) % 1.33/1.53 (define @t1516 () (=> tptp.binunionLsub @t1515)) % 1.33/1.53 (define @t1517 () (=> tptp.binunionE @t1516)) % 1.33/1.53 (define @t1518 () (=> tptp.binunionEcases @t1517)) % 1.33/1.53 (define @t1519 () (=> tptp.binunionIR @t1518)) % 1.33/1.53 (define @t1520 () (=> tptp.upairset2IR @t1519)) % 1.33/1.53 (define @t1521 () (=> tptp.binunionIL @t1520)) % 1.33/1.53 (define @t1522 () (=> tptp.sepSubset @t1521)) % 1.33/1.53 (define @t1523 () (=> tptp.sepInPowerset @t1522)) % 1.33/1.53 (define @t1524 () (=> tptp.powersetsubset @t1523)) % 1.33/1.53 (define @t1525 () (=> tptp.inPowerset @t1524)) % 1.33/1.53 (define @t1526 () (=> tptp.powersetE1 @t1525)) % 1.33/1.53 (define @t1527 () (=> tptp.powersetI1 @t1526)) % 1.33/1.53 (define @t1528 () (=> tptp.subsetemptysetimpeq @t1527)) % 1.33/1.53 (define @t1529 () (=> tptp.setextsub @t1528)) % 1.33/1.53 (define @t1530 () (=> tptp.subset2powerset @t1529)) % 1.33/1.53 (define @t1531 () (=> tptp.setadjoinSub2 @t1530)) % 1.33/1.53 (define @t1532 () (=> tptp.setadjoinSub @t1531)) % 1.33/1.53 (define @t1533 () (=> tptp.subsetTrans @t1532)) % 1.33/1.53 (define @t1534 () (=> tptp.subsetRefl @t1533)) % 1.33/1.53 (define @t1535 () (=> tptp.notequalI2 @t1534)) % 1.33/1.53 (define @t1536 () (=> tptp.notequalI1 @t1535)) % 1.33/1.53 (define @t1537 () (=> tptp.notsubsetI @t1536)) % 1.33/1.53 (define @t1538 () (=> tptp.subsetE2 @t1537)) % 1.33/1.53 (define @t1539 () (=> tptp.subsetE @t1538)) % 1.33/1.53 (define @t1540 () (=> tptp.emptysetsubset @t1539)) % 1.33/1.53 (define @t1541 () (=> tptp.subsetI2 @t1540)) % 1.33/1.53 (define @t1542 () (=> tptp.eqimpsubset1 @t1541)) % 1.33/1.53 (define @t1543 () (=> tptp.eqimpsubset2 @t1542)) % 1.33/1.53 (define @t1544 () (=> tptp.subsetI1 @t1543)) % 1.33/1.53 (define @t1545 () (=> tptp.dsetconstr__Cong @t1544)) % 1.33/1.53 (define @t1546 () (=> tptp.descr__Cong @t1545)) % 1.33/1.53 (define @t1547 () (=> tptp.exuEu @t1546)) % 1.33/1.53 (define @t1548 () (=> tptp.omega__Cong @t1547)) % 1.33/1.53 (define @t1549 () (=> tptp.setunion__Cong @t1548)) % 1.33/1.53 (define @t1550 () (=> tptp.powerset__Cong @t1549)) % 1.33/1.53 (define @t1551 () (=> tptp.setadjoin__Cong @t1550)) % 1.33/1.53 (define @t1552 () (=> tptp.emptyset__Cong @t1551)) % 1.33/1.53 (define @t1553 () (=> tptp.exu__Cong @t1552)) % 1.33/1.53 (define @t1554 () (=> tptp.exuE3u @t1553)) % 1.33/1.53 (define @t1555 () (=> tptp.in__Cong @t1554)) % 1.33/1.53 (define @t1556 () (=> tptp.inCongP @t1555)) % 1.33/1.53 (define @t1557 () (=> tptp.exuI2 @t1556)) % 1.33/1.53 (define @t1558 () (=> tptp.exuI3 @t1557)) % 1.33/1.53 (define @t1559 () (=> tptp.exuI1 @t1558)) % 1.33/1.53 (define @t1560 () (=> tptp.notdallE @t1559)) % 1.33/1.53 (define @t1561 () (=> tptp.notdexE @t1560)) % 1.33/1.53 (define @t1562 () (=> tptp.prop2set2propI @t1561)) % 1.33/1.53 (define @t1563 () (=> tptp.prop2setI @t1562)) % 1.33/1.53 (define @t1564 () (=> tptp.quantDeMorgan4 @t1563)) % 1.33/1.53 (define @t1565 () (=> tptp.quantDeMorgan3 @t1564)) % 1.33/1.53 (define @t1566 () (=> tptp.quantDeMorgan2 @t1565)) % 1.33/1.53 (define @t1567 () (=> tptp.quantDeMorgan1 @t1566)) % 1.33/1.53 (define @t1568 () (=> tptp.vacuousDall @t1567)) % 1.33/1.53 (define @t1569 () (=> tptp.emptyE1 @t1568)) % 1.33/1.53 (define @t1570 () (=> tptp.upairsetIR @t1569)) % 1.33/1.53 (define @t1571 () (=> tptp.upairsetIL @t1570)) % 1.33/1.53 (define @t1572 () (=> tptp.upairsetE @t1571)) % 1.33/1.53 (define @t1573 () (=> tptp.singletonsswitch @t1572)) % 1.33/1.53 (define @t1574 () (=> tptp.eqinunit @t1573)) % 1.33/1.53 (define @t1575 () (=> tptp.notinsingleton @t1574)) % 1.33/1.53 (define @t1576 () (=> tptp.uniqinunit @t1575)) % 1.33/1.53 (define @t1577 () (=> tptp.nonemptyImpWitness @t1576)) % 1.33/1.53 (define @t1578 () (=> tptp.exuE2 @t1577)) % 1.33/1.53 (define @t1579 () (=> tptp.subPowSU @t1578)) % 1.33/1.53 (define @t1580 () (=> tptp.setunionE @t1579)) % 1.33/1.53 (define @t1581 () (=> tptp.setunionI @t1580)) % 1.33/1.53 (define @t1582 () (=> tptp.powersetE @t1581)) % 1.33/1.53 (define @t1583 () (=> tptp.emptyInPowerset @t1582)) % 1.33/1.53 (define @t1584 () (=> tptp.emptyinPowerset @t1583)) % 1.33/1.53 (define @t1585 () (=> tptp.powersetI @t1584)) % 1.33/1.53 (define @t1586 () (=> tptp.setoftrueEq @t1585)) % 1.33/1.53 (define @t1587 () (=> tptp.setadjoinOr @t1586)) % 1.33/1.53 (define @t1588 () (=> tptp.setadjoinE @t1587)) % 1.33/1.53 (define @t1589 () (=> tptp.setadjoinIR @t1588)) % 1.33/1.53 (define @t1590 () (=> tptp.emptyinunitempty @t1589)) % 1.33/1.53 (define @t1591 () (=> tptp.setadjoinIL @t1590)) % 1.33/1.53 (define @t1592 () (=> tptp.nonemptyI1 @t1591)) % 1.33/1.53 (define @t1593 () (=> tptp.nonemptyI @t1592)) % 1.33/1.53 (define @t1594 () (=> tptp.nonemptyE1 @t1593)) % 1.33/1.53 (define @t1595 () (=> tptp.setbeta @t1594)) % 1.33/1.53 (define @t1596 () (=> tptp.noeltsimpempty @t1595)) % 1.33/1.53 (define @t1597 () (=> tptp.emptyI @t1596)) % 1.33/1.53 (define @t1598 () (=> tptp.setext @t1597)) % 1.33/1.53 (define @t1599 () (=> tptp.exuE3e @t1598)) % 1.33/1.53 (define @t1600 () (=> tptp.notinemptyset @t1599)) % 1.33/1.53 (define @t1601 () (=> tptp.emptysetimpfalse @t1600)) % 1.33/1.53 (define @t1602 () (=> tptp.emptysetE @t1601)) % 1.33/1.53 (define @t1603 () (=> tptp.prop2setE @t1602)) % 1.33/1.53 (define @t1604 () (=> tptp.exuE1 @t1603)) % 1.33/1.53 (define @t1605 () (=> tptp.dsetconstrER @t1604)) % 1.33/1.53 (define @t1606 () (=> tptp.dsetconstrEL @t1605)) % 1.33/1.53 (define @t1607 () (=> tptp.dsetconstrI @t1606)) % 1.33/1.53 (define @t1608 () (=> tptp.descrp @t1607)) % 1.33/1.53 (define @t1609 () (=> tptp.wellorderingAx @t1608)) % 1.33/1.53 (define @t1610 () (=> tptp.foundationAx @t1609)) % 1.33/1.53 (define @t1611 () (=> tptp.replAx @t1610)) % 1.33/1.53 (define @t1612 () (=> tptp.omegaIndAx @t1611)) % 1.33/1.53 (define @t1613 () (=> tptp.omegaSAx @t1612)) % 1.33/1.53 (define @t1614 () (=> tptp.omega0Ax @t1613)) % 1.33/1.53 (define @t1615 () (=> tptp.setunionAx @t1614)) % 1.33/1.53 (define @t1616 () (=> tptp.powersetAx @t1615)) % 1.33/1.53 (define @t1617 () (=> tptp.setadjoinAx @t1616)) % 1.33/1.53 (define @t1618 () (=> tptp.emptysetAx @t1617)) % 1.33/1.53 (define @t1619 () (=> tptp.setextAx @t1618)) % 1.33/1.53 (define @t1620 () (not @t1619)) % 1.33/1.53 (define @t1621 () (lambda @t150 @t169)) % 1.33/1.53 (define @t1622 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 1.33/1.53 (define @t1623 () (lambda @t311 @t716)) % 1.33/1.53 (define @t1624 () (_ @t522 @t675)) % 1.33/1.53 (define @t1625 () (lambda @t457 @t1624)) % 1.33/1.53 (define @t1626 () (@var "BOUND_VARIABLE_14907" $$unsorted)) % 1.33/1.53 (define @t1627 () (@var "BOUND_VARIABLE_14905" $$unsorted)) % 1.33/1.53 (define @t1628 () (@var "BOUND_VARIABLE_14909" $$unsorted)) % 1.33/1.53 (define @t1629 () (tptp.in @t1628 (tptp.binunion @t1627 @t1626))) % 1.33/1.53 (define @t1630 () (not (tptp.in @t1628 (tptp.binintersect @t695 @t1627)))) % 1.33/1.53 (define @t1631 () (not (tptp.in @t1628 @t2))) % 1.33/1.53 (define @t1632 () (tptp.powerset @t2)) % 1.33/1.53 (define @t1633 () (not (tptp.in @t1626 @t1632))) % 1.33/1.53 (define @t1634 () (not (tptp.in @t1627 @t1632))) % 1.33/1.53 (define @t1635 () (tptp.in @t695 @t1632)) % 1.33/1.53 (define @t1636 () (not @t1635)) % 1.33/1.53 (define @t1637 () (or @t1636 @t1634 @t1633 @t1631 @t1630 @t1629)) % 1.33/1.53 (define @t1638 () (@list @t2 @t695 @t1627 @t1626 @t1628)) % 1.33/1.53 (define @t1639 () (forall @t1638 @t1637)) % 1.33/1.53 (define @t1640 () (@var "BOUND_VARIABLE_14825" $$unsorted)) % 1.33/1.53 (define @t1641 () (@var "BOUND_VARIABLE_14827" $$unsorted)) % 1.33/1.53 (define @t1642 () (tptp.in @t1641 (tptp.binunion @t695 @t1640))) % 1.33/1.53 (define @t1643 () (@var "BOUND_VARIABLE_14823" $$unsorted)) % 1.33/1.53 (define @t1644 () (not (tptp.in @t1641 (tptp.binintersect @t695 @t1643)))) % 1.33/1.53 (define @t1645 () (not (tptp.in @t1641 @t2))) % 1.33/1.53 (define @t1646 () (not (tptp.in @t1640 @t1632))) % 1.33/1.53 (define @t1647 () (not (tptp.in @t1643 @t1632))) % 1.33/1.53 (define @t1648 () (or @t1636 @t1647 @t1646 @t1645 @t1644 @t1642)) % 1.33/1.53 (define @t1649 () (@list @t2 @t695 @t1643 @t1640 @t1641)) % 1.33/1.53 (define @t1650 () (@var "BOUND_VARIABLE_14742" $$unsorted)) % 1.33/1.53 (define @t1651 () (@var "BOUND_VARIABLE_14744" $$unsorted)) % 1.33/1.53 (define @t1652 () (not (tptp.in @t1651 @t1650))) % 1.33/1.53 (define @t1653 () (tptp.in @t1651 (tptp.binunion @t695 @t1650))) % 1.33/1.53 (define @t1654 () (not (tptp.in @t1651 @t2))) % 1.33/1.53 (define @t1655 () (not (tptp.in @t1650 @t1632))) % 1.33/1.53 (define @t1656 () (or @t1636 @t1655 @t1654 @t1653 @t1652)) % 1.33/1.53 (define @t1657 () (@list @t2 @t695 @t1650 @t1651)) % 1.33/1.53 (define @t1658 () (@var "BOUND_VARIABLE_14694" $$unsorted)) % 1.33/1.53 (define @t1659 () (not (tptp.in @t1658 @t695))) % 1.33/1.53 (define @t1660 () (@var "BOUND_VARIABLE_14692" $$unsorted)) % 1.33/1.53 (define @t1661 () (tptp.in @t1658 (tptp.binunion @t695 @t1660))) % 1.33/1.53 (define @t1662 () (not (tptp.in @t1658 @t2))) % 1.33/1.53 (define @t1663 () (not (tptp.in @t1660 @t1632))) % 1.33/1.53 (define @t1664 () (or @t1636 @t1663 @t1662 @t1661 @t1659)) % 1.33/1.53 (define @t1665 () (@list @t2 @t695 @t1660 @t1658)) % 1.33/1.53 (define @t1666 () (tptp.setminus @t2 @t695)) % 1.33/1.53 (define @t1667 () (@var "BOUND_VARIABLE_14644" $$unsorted)) % 1.33/1.53 (define @t1668 () (tptp.subset @t1667 @t1666)) % 1.33/1.53 (define @t1669 () (not (tptp.subset @t695 (tptp.setminus @t2 @t1667)))) % 1.33/1.53 (define @t1670 () (not (tptp.in @t1667 @t1632))) % 1.33/1.53 (define @t1671 () (or @t1636 @t1670 @t1669 @t1668)) % 1.33/1.53 (define @t1672 () (@list @t2 @t695 @t1667)) % 1.33/1.53 (define @t1673 () (@var "BOUND_VARIABLE_14611" $$unsorted)) % 1.33/1.53 (define @t1674 () (tptp.in @t1673 @t1666)) % 1.33/1.53 (define @t1675 () (@var "BOUND_VARIABLE_14609" $$unsorted)) % 1.33/1.53 (define @t1676 () (not (tptp.in @t1673 @t1675))) % 1.33/1.53 (define @t1677 () (not (tptp.in @t1673 @t2))) % 1.33/1.53 (define @t1678 () (not (tptp.subset @t695 (tptp.setminus @t2 @t1675)))) % 1.33/1.53 (define @t1679 () (not (tptp.in @t1675 @t1632))) % 1.33/1.53 (define @t1680 () (or @t1636 @t1679 @t1678 @t1677 @t1676 @t1674)) % 1.33/1.53 (define @t1681 () (@list @t2 @t695 @t1675 @t1673)) % 1.33/1.53 (define @t1682 () (@var "BOUND_VARIABLE_14561" $$unsorted)) % 1.33/1.53 (define @t1683 () (tptp.in @t1666 (tptp.powerset (tptp.setminus @t2 (tptp.binintersect @t695 @t1682))))) % 1.33/1.53 (define @t1684 () (not (tptp.in @t1682 @t1632))) % 1.33/1.53 (define @t1685 () (or @t1636 @t1684 @t1683)) % 1.33/1.53 (define @t1686 () (@list @t2 @t695 @t1682)) % 1.33/1.53 (define @t1687 () (@var "BOUND_VARIABLE_14532" $$unsorted)) % 1.33/1.53 (define @t1688 () (tptp.subset @t1666 (tptp.setminus @t2 (tptp.binintersect @t695 @t1687)))) % 1.33/1.53 (define @t1689 () (not (tptp.in @t1687 @t1632))) % 1.33/1.53 (define @t1690 () (or @t1636 @t1689 @t1688)) % 1.33/1.53 (define @t1691 () (@list @t2 @t695 @t1687)) % 1.33/1.53 (define @t1692 () (@var "BOUND_VARIABLE_14498" $$unsorted)) % 1.33/1.53 (define @t1693 () (@var "BOUND_VARIABLE_14500" $$unsorted)) % 1.33/1.53 (define @t1694 () (tptp.in @t1693 (tptp.setminus @t2 (tptp.binintersect @t695 @t1692)))) % 1.33/1.53 (define @t1695 () (not (tptp.in @t1693 @t1666))) % 1.33/1.53 (define @t1696 () (not (tptp.in @t1693 @t2))) % 1.33/1.53 (define @t1697 () (not (tptp.in @t1692 @t1632))) % 1.33/1.53 (define @t1698 () (or @t1636 @t1697 @t1696 @t1695 @t1694)) % 1.33/1.53 (define @t1699 () (@list @t2 @t695 @t1692 @t1693)) % 1.33/1.53 (define @t1700 () (@var "BOUND_VARIABLE_14443" $$unsorted)) % 1.33/1.53 (define @t1701 () (@var "BOUND_VARIABLE_14445" $$unsorted)) % 1.33/1.53 (define @t1702 () (not (tptp.in @t1701 (tptp.binintersect @t695 @t1700)))) % 1.33/1.53 (define @t1703 () (not (tptp.in @t1701 @t1666))) % 1.33/1.53 (define @t1704 () (not (tptp.in @t1701 @t2))) % 1.33/1.53 (define @t1705 () (not (tptp.in @t1700 @t1632))) % 1.33/1.53 (define @t1706 () (or @t1636 @t1705 @t1704 @t1703 @t1702)) % 1.33/1.53 (define @t1707 () (@list @t2 @t695 @t1700 @t1701)) % 1.33/1.53 (define @t1708 () (tptp.setminus @t2 @t1666)) % 1.33/1.53 (define @t1709 () (tptp.subset @t1708 @t695)) % 1.33/1.53 (define @t1710 () (tptp.subset @t695 @t1708)) % 1.33/1.53 (define @t1711 () (@var "BOUND_VARIABLE_14373" $$unsorted)) % 1.33/1.53 (define @t1712 () (tptp.in @t1711 @t695)) % 1.33/1.53 (define @t1713 () (not (tptp.in @t1711 @t1708))) % 1.33/1.53 (define @t1714 () (not (tptp.in @t1711 @t2))) % 1.33/1.53 (define @t1715 () (or @t1636 @t1714 @t1713 @t1712)) % 1.33/1.53 (define @t1716 () (@list @t2 @t695 @t1711)) % 1.33/1.53 (define @t1717 () (@var "BOUND_VARIABLE_14345" $$unsorted)) % 1.33/1.53 (define @t1718 () (tptp.in @t1717 @t1708)) % 1.33/1.53 (define @t1719 () (not (tptp.in @t1717 @t695))) % 1.33/1.53 (define @t1720 () (not (tptp.in @t1717 @t2))) % 1.33/1.53 (define @t1721 () (or @t1636 @t1720 @t1719 @t1718)) % 1.33/1.53 (define @t1722 () (@list @t2 @t695 @t1717)) % 1.33/1.53 (define @t1723 () (@var "BOUND_VARIABLE_14314" $$unsorted)) % 1.33/1.53 (define @t1724 () (tptp.subset @t695 @t1723)) % 1.33/1.53 (define @t1725 () (not (tptp.subset (tptp.setminus @t2 @t1723) @t1666))) % 1.33/1.53 (define @t1726 () (not (tptp.in @t1723 @t1632))) % 1.33/1.53 (define @t1727 () (or @t1636 @t1726 @t1725 @t1724)) % 1.33/1.53 (define @t1728 () (@list @t2 @t695 @t1723)) % 1.33/1.53 (define @t1729 () (@var "BOUND_VARIABLE_14285" $$unsorted)) % 1.33/1.53 (define @t1730 () (tptp.subset (tptp.setminus @t2 @t1729) @t1666)) % 1.33/1.53 (define @t1731 () (not (tptp.subset @t695 @t1729))) % 1.33/1.53 (define @t1732 () (not (tptp.in @t1729 @t1632))) % 1.33/1.53 (define @t1733 () (or @t1636 @t1732 @t1731 @t1730)) % 1.33/1.53 (define @t1734 () (@list @t2 @t695 @t1729)) % 1.33/1.53 (define @t1735 () (@var "BOUND_VARIABLE_14252" $$unsorted)) % 1.33/1.53 (define @t1736 () (not (tptp.in @t1735 @t695))) % 1.33/1.53 (define @t1737 () (@var "BOUND_VARIABLE_14250" $$unsorted)) % 1.33/1.53 (define @t1738 () (tptp.in @t1735 @t1737)) % 1.33/1.53 (define @t1739 () (not (tptp.in @t1735 @t2))) % 1.33/1.53 (define @t1740 () (not (tptp.subset @t695 @t1737))) % 1.33/1.53 (define @t1741 () (not (tptp.in @t1737 @t1632))) % 1.33/1.53 (define @t1742 () (or @t1636 @t1741 @t1740 @t1739 @t1738 @t1736)) % 1.33/1.53 (define @t1743 () (@list @t2 @t695 @t1737 @t1735)) % 1.33/1.53 (define @t1744 () (@var "BOUND_VARIABLE_14192" $$unsorted)) % 1.33/1.53 (define @t1745 () (not (tptp.in @t1744 @t695))) % 1.33/1.53 (define @t1746 () (@var "BOUND_VARIABLE_14190" $$unsorted)) % 1.33/1.53 (define @t1747 () (not (tptp.in @t1744 @t1746))) % 1.33/1.53 (define @t1748 () (not (tptp.in @t1744 @t2))) % 1.33/1.53 (define @t1749 () (not (tptp.subset @t695 (tptp.setminus @t2 @t1746)))) % 1.33/1.53 (define @t1750 () (not (tptp.in @t1746 @t1632))) % 1.33/1.53 (define @t1751 () (or @t1636 @t1750 @t1749 @t1748 @t1747 @t1745)) % 1.33/1.53 (define @t1752 () (@list @t2 @t695 @t1746 @t1744)) % 1.33/1.53 (define @t1753 () (@var "BOUND_VARIABLE_14129" $$unsorted)) % 1.33/1.53 (define @t1754 () (@var "BOUND_VARIABLE_14131" $$unsorted)) % 1.33/1.53 (define @t1755 () (not (tptp.in @t1754 (tptp.binintersect @t695 @t1753)))) % 1.33/1.53 (define @t1756 () (tptp.in @t1754 @t1753)) % 1.33/1.53 (define @t1757 () (not (tptp.in @t1754 @t2))) % 1.33/1.53 (define @t1758 () (not (tptp.in @t1753 @t1632))) % 1.33/1.53 (define @t1759 () (or @t1636 @t1758 @t1757 @t1756 @t1755)) % 1.33/1.53 (define @t1760 () (@list @t2 @t695 @t1753 @t1754)) % 1.33/1.53 (define @t1761 () (@var "BOUND_VARIABLE_14079" $$unsorted)) % 1.33/1.53 (define @t1762 () (@var "BOUND_VARIABLE_14081" $$unsorted)) % 1.33/1.53 (define @t1763 () (not (tptp.in @t1762 (tptp.binintersect @t695 @t1761)))) % 1.33/1.53 (define @t1764 () (tptp.in @t1762 @t695)) % 1.33/1.53 (define @t1765 () (not (tptp.in @t1762 @t2))) % 1.33/1.53 (define @t1766 () (not (tptp.in @t1761 @t1632))) % 1.33/1.53 (define @t1767 () (or @t1636 @t1766 @t1765 @t1764 @t1763)) % 1.33/1.53 (define @t1768 () (@list @t2 @t695 @t1761 @t1762)) % 1.33/1.53 (define @t1769 () (@var "BOUND_VARIABLE_14032" $$unsorted)) % 1.33/1.53 (define @t1770 () (tptp.in @t1769 @t695)) % 1.33/1.53 (define @t1771 () (tptp.in @t1769 @t1666)) % 1.33/1.53 (define @t1772 () (not (tptp.in @t1769 @t2))) % 1.33/1.53 (define @t1773 () (or @t1636 @t1772 @t1771 @t1770)) % 1.33/1.53 (define @t1774 () (@list @t2 @t695 @t1769)) % 1.33/1.53 (define @t1775 () (@var "BOUND_VARIABLE_14005" $$unsorted)) % 1.33/1.53 (define @t1776 () (not (tptp.in @t1775 @t1666))) % 1.33/1.53 (define @t1777 () (not (tptp.in @t1775 @t695))) % 1.33/1.53 (define @t1778 () (not (tptp.in @t1775 @t2))) % 1.33/1.53 (define @t1779 () (or @t1636 @t1778 @t1777 @t1776)) % 1.33/1.53 (define @t1780 () (@list @t2 @t695 @t1775)) % 1.33/1.53 (define @t1781 () (@var "BOUND_VARIABLE_13969" $$unsorted)) % 1.33/1.53 (define @t1782 () (@var "BOUND_VARIABLE_13971" $$unsorted)) % 1.33/1.53 (define @t1783 () (tptp.in @t1782 @t1781)) % 1.33/1.53 (define @t1784 () (not (tptp.in @t1782 @t695))) % 1.33/1.53 (define @t1785 () (not (tptp.in @t1782 @t2))) % 1.33/1.53 (define @t1786 () (not (tptp.in @t695 (tptp.powerset @t1781)))) % 1.33/1.53 (define @t1787 () (not (tptp.in @t1781 @t1632))) % 1.33/1.53 (define @t1788 () (or @t1636 @t1787 @t1786 @t1785 @t1784 @t1783)) % 1.33/1.53 (define @t1789 () (@list @t2 @t695 @t1781 @t1782)) % 1.33/1.53 (define @t1790 () (@var "BOUND_VARIABLE_13919" $$unsorted)) % 1.33/1.53 (define @t1791 () (tptp.in @t695 (tptp.powerset @t1790))) % 1.33/1.53 (define @t1792 () (tptp.in @t4 @t695)) % 1.33/1.53 (define @t1793 () (not @t1792)) % 1.33/1.53 (define @t1794 () (tptp.in @t4 @t2)) % 1.33/1.53 (define @t1795 () (not @t1794)) % 1.33/1.53 (define @t1796 () (not (forall @t9 (or @t1795 @t1793 (tptp.in @t4 @t1790))))) % 1.33/1.53 (define @t1797 () (not (tptp.in @t1790 @t1632))) % 1.33/1.53 (define @t1798 () (or @t1636 @t1797 @t1796 @t1791)) % 1.33/1.53 (define @t1799 () (@list @t2 @t695 @t1790)) % 1.33/1.53 (define @t1800 () (@var "BOUND_VARIABLE_13885" $$unsorted)) % 1.33/1.53 (define @t1801 () (tptp.subset @t695 @t1800)) % 1.33/1.53 (define @t1802 () (not (forall @t9 (or @t1795 @t1793 (tptp.in @t4 @t1800))))) % 1.33/1.53 (define @t1803 () (not (tptp.in @t1800 @t1632))) % 1.33/1.53 (define @t1804 () (or @t1636 @t1803 @t1802 @t1801)) % 1.33/1.53 (define @t1805 () (@list @t2 @t695 @t1800)) % 1.33/1.53 (define @t1806 () (@var "BOUND_VARIABLE_13849" $$unsorted)) % 1.33/1.53 (define @t1807 () (= @t695 @t1806)) % 1.33/1.53 (define @t1808 () (tptp.in @t4 @t1806)) % 1.33/1.53 (define @t1809 () (not (forall @t9 (or @t1795 (not @t1808) @t1792)))) % 1.33/1.53 (define @t1810 () (not (forall @t9 (or @t1795 @t1793 @t1808)))) % 1.33/1.53 (define @t1811 () (not (tptp.in @t1806 @t1632))) % 1.33/1.53 (define @t1812 () (or @t1636 @t1811 @t1810 @t1809 @t1807)) % 1.33/1.53 (define @t1813 () (@list @t2 @t695 @t1806)) % 1.33/1.53 (define @t1814 () (tptp.in @t1666 @t1632)) % 1.33/1.53 (define @t1815 () (@var "BOUND_VARIABLE_13795" $$unsorted)) % 1.33/1.53 (define @t1816 () (tptp.in (tptp.setminus @t695 @t1815) @t1632)) % 1.33/1.53 (define @t1817 () (not (tptp.in @t1815 @t1632))) % 1.33/1.53 (define @t1818 () (or @t1636 @t1817 @t1816)) % 1.33/1.53 (define @t1819 () (@list @t2 @t695 @t1815)) % 1.33/1.53 (define @t1820 () (tptp.powerset @t1632)) % 1.33/1.53 (define @t1821 () (tptp.powerset @t695)) % 1.33/1.53 (define @t1822 () (tptp.in @t1821 @t1820)) % 1.33/1.53 (define @t1823 () (@var "BOUND_VARIABLE_13755" $$unsorted)) % 1.33/1.53 (define @t1824 () (tptp.in (tptp.binunion @t695 @t1823) @t1632)) % 1.33/1.53 (define @t1825 () (not (tptp.in @t1823 @t1632))) % 1.33/1.53 (define @t1826 () (or @t1636 @t1825 @t1824)) % 1.33/1.53 (define @t1827 () (@list @t2 @t695 @t1823)) % 1.33/1.53 (define @t1828 () (@var "BOUND_VARIABLE_13727" $$unsorted)) % 1.33/1.53 (define @t1829 () (tptp.in (tptp.binintersect @t695 @t1828) @t1632)) % 1.33/1.53 (define @t1830 () (not (tptp.in @t1828 @t1632))) % 1.33/1.53 (define @t1831 () (or @t1636 @t1830 @t1829)) % 1.33/1.53 (define @t1832 () (@list @t2 @t695 @t1828)) % 1.33/1.53 (define @t1833 () (@var "BOUND_VARIABLE_13689" $$unsorted)) % 1.33/1.53 (define @t1834 () (tptp.in (tptp.if @t2 @t173 @t4 @t1833) (tptp.setadjoin @t4 (tptp.setadjoin @t1833 tptp.emptyset)))) % 1.33/1.53 (define @t1835 () (not (tptp.in @t1833 @t2))) % 1.33/1.53 (define @t1836 () (or @t1795 @t1835 @t1834)) % 1.33/1.53 (define @t1837 () (@list @t2 @t173 @t4 @t1833)) % 1.33/1.53 (define @t1838 () (@var "BOUND_VARIABLE_13656" $$unsorted)) % 1.33/1.53 (define @t1839 () (= @t1838 (tptp.if @t2 false @t4 @t1838))) % 1.33/1.53 (define @t1840 () (not (tptp.in @t1838 @t2))) % 1.33/1.53 (define @t1841 () (or @t1795 @t1840 @t1839)) % 1.33/1.53 (define @t1842 () (@list @t2 @t4 @t1838)) % 1.33/1.53 (define @t1843 () (@var "BOUND_VARIABLE_13614" $$unsorted)) % 1.33/1.53 (define @t1844 () (= @t4 (tptp.if @t2 true @t4 @t1843))) % 1.33/1.53 (define @t1845 () (not (tptp.in @t1843 @t2))) % 1.33/1.53 (define @t1846 () (or @t1795 @t1845 @t1844)) % 1.33/1.53 (define @t1847 () (@list @t2 @t4 @t1843)) % 1.33/1.53 (define @t1848 () (@var "BOUND_VARIABLE_13579" $$unsorted)) % 1.33/1.53 (define @t1849 () (tptp.setunion @t695)) % 1.33/1.53 (define @t1850 () (not (tptp.in @t1848 @t695))) % 1.33/1.53 (define @t1851 () (tptp.singleton @t695)) % 1.33/1.53 (define @t1852 () (not @t1851)) % 1.33/1.53 (define @t1853 () (@list @t695 @t1848)) % 1.33/1.53 (define @t1854 () (@var "BOUND_VARIABLE_13551" $$unsorted)) % 1.33/1.53 (define @t1855 () (tptp.in (tptp.if @t2 @t173 @t4 @t1854) @t2)) % 1.33/1.53 (define @t1856 () (not (tptp.in @t1854 @t2))) % 1.33/1.53 (define @t1857 () (or @t1795 @t1856 @t1855)) % 1.33/1.53 (define @t1858 () (@list @t2 @t173 @t4 @t1854)) % 1.33/1.53 (define @t1859 () (@var "BOUND_VARIABLE_13512" $$unsorted)) % 1.33/1.53 (define @t1860 () (and @t173 @t744)) % 1.33/1.53 (define @t1861 () (not (tptp.in @t1859 @t2))) % 1.33/1.53 (define @t1862 () (@list @t2 @t173 @t4 @t1859)) % 1.33/1.53 (define @t1863 () (tptp.dsetconstr @t2 (lambda @t1065 @t744))) % 1.33/1.53 (define @t1864 () (tptp.setadjoin @t4 tptp.emptyset)) % 1.33/1.53 (define @t1865 () (= @t1864 @t1863)) % 1.33/1.53 (define @t1866 () (@var "BOUND_VARIABLE_13459" $$unsorted)) % 1.33/1.53 (define @t1867 () (not (tptp.in @t1866 @t2))) % 1.33/1.53 (define @t1868 () (or @t1795 @t1867 @t1865)) % 1.33/1.53 (define @t1869 () (@list @t2 @t4 @t1866)) % 1.33/1.53 (define @t1870 () (tptp.in @t4 @t1863)) % 1.33/1.53 (define @t1871 () (@var "BOUND_VARIABLE_13396" $$unsorted)) % 1.33/1.53 (define @t1872 () (not (tptp.in @t1871 @t2))) % 1.33/1.53 (define @t1873 () (or @t1795 @t1872 @t1870)) % 1.33/1.53 (define @t1874 () (@list @t2 @t4 @t1871)) % 1.33/1.53 (define @t1875 () (@var "BOUND_VARIABLE_13333" $$unsorted)) % 1.33/1.53 (define @t1876 () (= @t289 @t1875)) % 1.33/1.53 (define @t1877 () (tptp.setadjoin @t1875 tptp.emptyset)) % 1.33/1.53 (define @t1878 () (not (tptp.in @t1875 @t2))) % 1.33/1.53 (define @t1879 () (@list @t2 @t4 @t1875)) % 1.33/1.53 (define @t1880 () (@var "BOUND_VARIABLE_13270" $$unsorted)) % 1.33/1.53 (define @t1881 () (= @t289 @t1880)) % 1.33/1.53 (define @t1882 () (not (tptp.in @t1880 @t2))) % 1.33/1.53 (define @t1883 () (@list @t2 @t4 @t1880)) % 1.33/1.53 (define @t1884 () (tptp.ap @t2 @t1 @t878 @t4)) % 1.33/1.53 (define @t1885 () (lambda @t9 @t1884)) % 1.33/1.53 (define @t1886 () (tptp.lam @t2 @t1 @t1885)) % 1.33/1.53 (define @t1887 () (= @t878 @t1886)) % 1.33/1.53 (define @t1888 () (tptp.funcSet @t2 @t1)) % 1.33/1.53 (define @t1889 () (tptp.in @t878 @t1888)) % 1.33/1.53 (define @t1890 () (not @t1889)) % 1.33/1.53 (define @t1891 () (@var "BOUND_VARIABLE_13199" $$unsorted)) % 1.33/1.53 (define @t1892 () (tptp.lam @t2 @t1 @t913)) % 1.33/1.53 (define @t1893 () (= (_ @t913 @t1891) (tptp.ap @t2 @t1 @t1892 @t1891))) % 1.33/1.53 (define @t1894 () (not (tptp.in @t1891 @t2))) % 1.33/1.53 (define @t1895 () (_ @t913 @t4)) % 1.33/1.53 (define @t1896 () (tptp.in @t1895 @t1)) % 1.33/1.53 (define @t1897 () (forall @t9 (or @t1795 @t1896))) % 1.33/1.53 (define @t1898 () (not @t1897)) % 1.33/1.53 (define @t1899 () (or @t1898 @t1894 @t1893)) % 1.33/1.53 (define @t1900 () (@list @t2 @t1 @t913 @t1891)) % 1.33/1.53 (define @t1901 () (forall @t1900 @t1899)) % 1.33/1.53 (define @t1902 () (=> @t1901 (=> (forall @t887 (or @t1890 @t1887)) (=> (forall @t1883 (or @t1795 @t1882 (tptp.in @t1880 (tptp.dsetconstr @t2 (lambda @t1065 @t1881))))) (=> (forall @t1879 (or @t1795 @t1878 (= @t1877 (tptp.dsetconstr @t2 (lambda @t1065 @t1876))))) (=> (forall @t1874 @t1873) (=> (forall @t1869 @t1868) (=> (forall @t1862 (or @t1795 @t1861 (tptp.singleton (tptp.dsetconstr @t2 (lambda @t1065 (or @t1860 (and @t1061 (= @t289 @t1859)))))))) (=> (forall @t1858 @t1857) (=> (forall @t1853 (or @t1852 @t1850 (= @t1849 @t1848))) (=> (forall @t1847 @t1846) (=> (forall @t1842 @t1841) (=> (forall @t1837 @t1836) (=> (forall @t1832 @t1831) (=> (forall @t1827 @t1826) (=> (forall @t1138 (or @t1636 @t1822)) (=> (forall @t1819 @t1818) (=> (forall @t1138 (or @t1636 @t1814)) (=> (forall @t1813 @t1812) (=> (forall @t1805 @t1804) (=> (forall @t1799 @t1798) (=> (forall @t1789 @t1788) (=> (forall @t1780 @t1779) (=> (forall @t1774 @t1773) (=> (forall @t1768 @t1767) (=> (forall @t1760 @t1759) (=> (forall @t1752 @t1751) (=> (forall @t1743 @t1742) (=> (forall @t1734 @t1733) (=> (forall @t1728 @t1727) (=> (forall @t1722 @t1721) (=> (forall @t1716 @t1715) (=> (forall @t1138 (or @t1636 @t1710)) (=> (forall @t1138 (or @t1636 @t1709)) (=> (forall @t1138 (or @t1636 (= @t695 @t1708))) (=> (forall @t1707 @t1706) (=> (forall @t1699 @t1698) (=> (forall @t1691 @t1690) (=> (forall @t1686 @t1685) (=> (forall @t1681 @t1680) (=> (forall @t1672 @t1671) (=> (forall @t1665 @t1664) (=> (forall @t1657 @t1656) (=> (forall @t1649 @t1648) @t1639)))))))))))))))))))))))))))))))))))))))))))) % 1.33/1.53 (define @t1903 () (tptp.func @t2 @t1 @t878)) % 1.33/1.53 (define @t1904 () (not @t1903)) % 1.33/1.53 (define @t1905 () (forall @t887 (or @t1904 @t1887))) % 1.33/1.53 (define @t1906 () (@var "BOUND_VARIABLE_13150" $$unsorted)) % 1.33/1.53 (define @t1907 () (= @t878 @t1906)) % 1.33/1.53 (define @t1908 () (not (forall @t9 (or @t1795 (= @t1884 (tptp.ap @t2 @t1 @t1906 @t4)))))) % 1.33/1.53 (define @t1909 () (not (tptp.in @t1906 @t1888))) % 1.33/1.53 (define @t1910 () (or @t1890 @t1909 @t1908 @t1907)) % 1.33/1.53 (define @t1911 () (@list @t2 @t1 @t878 @t1906)) % 1.33/1.53 (define @t1912 () (forall @t1911 @t1910)) % 1.33/1.53 (define @t1913 () (@var "BOUND_VARIABLE_13116" $$unsorted)) % 1.33/1.53 (define @t1914 () (= @t878 @t1913)) % 1.33/1.53 (define @t1915 () (not (forall @t9 (or @t1795 (= @t1884 (tptp.ap @t2 @t1 @t1913 @t4)))))) % 1.33/1.53 (define @t1916 () (not (tptp.func @t2 @t1 @t1913))) % 1.33/1.53 (define @t1917 () (or @t1904 @t1916 @t1915 @t1914)) % 1.33/1.53 (define @t1918 () (@list @t2 @t1 @t878 @t1913)) % 1.33/1.53 (define @t1919 () (forall @t1918 @t1917)) % 1.33/1.53 (define @t1920 () (@var "BOUND_VARIABLE_13080" $$unsorted)) % 1.33/1.53 (define @t1921 () (= @t933 @t1920)) % 1.33/1.53 (define @t1922 () (@var "BOUND_VARIABLE_13049" $$unsorted)) % 1.33/1.53 (define @t1923 () (tptp.kpair @t4 @t1922)) % 1.33/1.53 (define @t1924 () (tptp.in @t1923 @t933)) % 1.33/1.53 (define @t1925 () (not (tptp.in @t1922 @t1))) % 1.33/1.53 (define @t1926 () (@list @t4 @t1922)) % 1.33/1.53 (define @t1927 () (not (forall @t1926 (or @t1795 @t1925 (not (tptp.in @t1923 @t1920)) @t1924)))) % 1.33/1.53 (define @t1928 () (@var "BOUND_VARIABLE_12980" $$unsorted)) % 1.33/1.53 (define @t1929 () (tptp.kpair @t4 @t1928)) % 1.33/1.53 (define @t1930 () (not (tptp.in @t1929 @t933))) % 1.33/1.53 (define @t1931 () (not (tptp.in @t1928 @t1))) % 1.33/1.53 (define @t1932 () (@list @t4 @t1928)) % 1.33/1.53 (define @t1933 () (not (forall @t1932 (or @t1795 @t1931 @t1930 (tptp.in @t1929 @t1920))))) % 1.33/1.53 (define @t1934 () (tptp.cartprod @t2 @t1)) % 1.33/1.53 (define @t1935 () (not (tptp.subset @t1920 @t1934))) % 1.33/1.53 (define @t1936 () (tptp.subset @t933 @t1934)) % 1.33/1.53 (define @t1937 () (not @t1936)) % 1.33/1.53 (define @t1938 () (or @t1937 @t1935 @t1933 @t1927 @t1921)) % 1.33/1.53 (define @t1939 () (@list @t2 @t1 @t933 @t1920)) % 1.33/1.53 (define @t1940 () (forall @t1939 @t1938)) % 1.33/1.53 (define @t1941 () (@var "BOUND_VARIABLE_13014" $$unsorted)) % 1.33/1.53 (define @t1942 () (tptp.subset @t933 @t1941)) % 1.33/1.53 (define @t1943 () (not (forall @t1932 (or @t1795 @t1931 @t1930 (tptp.in @t1929 @t1941))))) % 1.33/1.53 (define @t1944 () (not (tptp.subset @t1941 @t1934))) % 1.33/1.53 (define @t1945 () (or @t1937 @t1944 @t1943 @t1942)) % 1.33/1.53 (define @t1946 () (@list @t2 @t1 @t933 @t1941)) % 1.33/1.53 (define @t1947 () (forall @t1946 @t1945)) % 1.33/1.53 (define @t1948 () (@var "BOUND_VARIABLE_12935" $$unsorted)) % 1.33/1.53 (define @t1949 () (tptp.ap @t2 @t1 @t878 @t1948)) % 1.33/1.53 (define @t1950 () (@var "BOUND_VARIABLE_12937" $$unsorted)) % 1.33/1.53 (define @t1951 () (not (tptp.in (tptp.kpair @t1948 @t1950) @t878))) % 1.33/1.53 (define @t1952 () (not (tptp.in @t1950 @t1))) % 1.33/1.53 (define @t1953 () (not (tptp.in @t1948 @t2))) % 1.33/1.53 (define @t1954 () (@list @t2 @t1 @t878 @t1948 @t1950)) % 1.33/1.53 (define @t1955 () (forall @t1954 (or @t1890 @t1953 @t1952 @t1951 (= @t1950 @t1949)))) % 1.33/1.53 (define @t1956 () (@var "BOUND_VARIABLE_12904" $$unsorted)) % 1.33/1.53 (define @t1957 () (@var "BOUND_VARIABLE_12902" $$unsorted)) % 1.33/1.53 (define @t1958 () (tptp.kpair @t1957 @t1956)) % 1.33/1.53 (define @t1959 () (tptp.in @t1958 @t878)) % 1.33/1.53 (define @t1960 () (@var "BOUND_VARIABLE_12900" $$unsorted)) % 1.33/1.53 (define @t1961 () (not (tptp.in @t1958 @t1960))) % 1.33/1.53 (define @t1962 () (not (tptp.in @t1956 @t1))) % 1.33/1.53 (define @t1963 () (not (tptp.in @t1957 @t2))) % 1.33/1.53 (define @t1964 () (not (forall @t9 (or @t1795 (= @t1884 (tptp.ap @t2 @t1 @t1960 @t4)))))) % 1.33/1.53 (define @t1965 () (not (tptp.func @t2 @t1 @t1960))) % 1.33/1.53 (define @t1966 () (or @t1904 @t1965 @t1964 @t1963 @t1962 @t1961 @t1959)) % 1.33/1.53 (define @t1967 () (@list @t2 @t1 @t878 @t1960 @t1957 @t1956)) % 1.33/1.53 (define @t1968 () (forall @t1967 @t1966)) % 1.33/1.53 (define @t1969 () (@var "BOUND_VARIABLE_12806" $$unsorted)) % 1.33/1.53 (define @t1970 () (tptp.ap @t2 @t1 @t878 @t1969)) % 1.33/1.53 (define @t1971 () (@var "BOUND_VARIABLE_12808" $$unsorted)) % 1.33/1.53 (define @t1972 () (not (tptp.in (tptp.kpair @t1969 @t1971) @t878))) % 1.33/1.53 (define @t1973 () (not (tptp.in @t1971 @t1))) % 1.33/1.53 (define @t1974 () (not (tptp.in @t1969 @t2))) % 1.33/1.53 (define @t1975 () (@list @t2 @t1 @t878 @t1969 @t1971)) % 1.33/1.53 (define @t1976 () (forall @t1975 (or @t1904 @t1974 @t1973 @t1972 (= @t1971 @t1970)))) % 1.33/1.53 (define @t1977 () (@var "BOUND_VARIABLE_12751" $$unsorted)) % 1.33/1.53 (define @t1978 () (tptp.in (tptp.kpair @t1977 (tptp.ap @t2 @t1 @t878 @t1977)) @t878)) % 1.33/1.53 (define @t1979 () (not (tptp.in @t1977 @t2))) % 1.33/1.53 (define @t1980 () (or @t1890 @t1979 @t1978)) % 1.33/1.53 (define @t1981 () (@list @t2 @t1 @t878 @t1977)) % 1.33/1.53 (define @t1982 () (forall @t1981 @t1980)) % 1.33/1.53 (define @t1983 () (@var "BOUND_VARIABLE_12730" $$unsorted)) % 1.33/1.53 (define @t1984 () (tptp.in (tptp.kpair @t1983 (tptp.ap @t2 @t1 @t878 @t1983)) @t878)) % 1.33/1.53 (define @t1985 () (not (tptp.in @t1983 @t2))) % 1.33/1.53 (define @t1986 () (or @t1904 @t1985 @t1984)) % 1.33/1.53 (define @t1987 () (@list @t2 @t1 @t878 @t1983)) % 1.33/1.53 (define @t1988 () (forall @t1987 @t1986)) % 1.33/1.53 (define @t1989 () (@var "BOUND_VARIABLE_12696" $$unsorted)) % 1.33/1.53 (define @t1990 () (@var "BOUND_VARIABLE_12694" $$unsorted)) % 1.33/1.53 (define @t1991 () (= @t1990 @t1989)) % 1.33/1.53 (define @t1992 () (not (_ @t143 @t1989))) % 1.33/1.53 (define @t1993 () (not (tptp.in @t1989 @t2))) % 1.33/1.53 (define @t1994 () (not (_ @t143 @t1990))) % 1.33/1.53 (define @t1995 () (not (tptp.in @t1990 @t2))) % 1.33/1.53 (define @t1996 () (tptp.dsetconstr @t2 @t143)) % 1.33/1.53 (define @t1997 () (tptp.singleton @t1996)) % 1.33/1.53 (define @t1998 () (not @t1997)) % 1.33/1.53 (define @t1999 () (or @t1998 @t1995 @t1994 @t1993 @t1992 @t1991)) % 1.33/1.53 (define @t2000 () (@list @t2 @t143 @t1990 @t1989)) % 1.33/1.53 (define @t2001 () (forall @t2000 @t1999)) % 1.33/1.53 (define @t2002 () (@var "BOUND_VARIABLE_12663" $$unsorted)) % 1.33/1.53 (define @t2003 () (@var "BOUND_VARIABLE_12661" (-> $$unsorted Bool))) % 1.33/1.53 (define @t2004 () (_ @t2003 @t2002)) % 1.33/1.53 (define @t2005 () (not (tptp.in @t2002 @t933))) % 1.33/1.53 (define @t2006 () (@var "BOUND_VARIABLE_12614" $$unsorted)) % 1.33/1.53 (define @t2007 () (tptp.kpair @t4 @t2006)) % 1.33/1.53 (define @t2008 () (not (tptp.in @t2007 @t933))) % 1.33/1.53 (define @t2009 () (not (tptp.in @t2006 @t1))) % 1.33/1.53 (define @t2010 () (@list @t4 @t2006)) % 1.33/1.53 (define @t2011 () (not (forall @t2010 (or @t1795 @t2009 @t2008 (_ @t2003 @t2007))))) % 1.33/1.53 (define @t2012 () (or @t1937 @t2011 @t2005 @t2004)) % 1.33/1.53 (define @t2013 () (@list @t2 @t1 @t933 @t2003 @t2002)) % 1.33/1.53 (define @t2014 () (forall @t2013 @t2012)) % 1.33/1.53 (define @t2015 () (forall @t919 (or @t1898 (tptp.in @t1892 @t1888)))) % 1.33/1.53 (define @t2016 () (forall @t919 (or @t1898 (tptp.func @t2 @t1 @t1892)))) % 1.33/1.53 (define @t2017 () (= @t19 @t1895)) % 1.33/1.53 (define @t2018 () (lambda @t135 @t2017)) % 1.33/1.53 (define @t2019 () (tptp.dpsetconstr @t2 @t1 @t2018)) % 1.33/1.53 (define @t2020 () (tptp.func @t2 @t1 @t2019)) % 1.33/1.53 (define @t2021 () (forall @t919 (or @t1898 @t2020))) % 1.33/1.53 (define @t2022 () (forall @t887 (or @t1904 @t1889))) % 1.33/1.53 (define @t2023 () (@var "BOUND_VARIABLE_12511" $$unsorted)) % 1.33/1.53 (define @t2024 () (tptp.in (tptp.ap @t2 @t1 @t878 @t2023) @t1)) % 1.33/1.53 (define @t2025 () (not (tptp.in @t2023 @t2))) % 1.33/1.53 (define @t2026 () (or @t1890 @t2025 @t2024)) % 1.33/1.53 (define @t2027 () (@list @t2 @t1 @t878 @t2023)) % 1.33/1.53 (define @t2028 () (forall @t2027 @t2026)) % 1.33/1.53 (define @t2029 () (forall @t887 (or @t1890 @t1903))) % 1.33/1.53 (define @t2030 () (@var "BOUND_VARIABLE_12480" $$unsorted)) % 1.33/1.53 (define @t2031 () (tptp.in (tptp.ap @t2 @t1 @t878 @t2030) @t1)) % 1.33/1.53 (define @t2032 () (not (tptp.in @t2030 @t2))) % 1.33/1.53 (define @t2033 () (or @t1904 @t2032 @t2031)) % 1.33/1.53 (define @t2034 () (@list @t2 @t1 @t878 @t2030)) % 1.33/1.53 (define @t2035 () (forall @t2034 @t2033)) % 1.33/1.53 (define @t2036 () (@var "BOUND_VARIABLE_12448" $$unsorted)) % 1.33/1.53 (define @t2037 () (tptp.in (tptp.setunion (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t2036 @t19) @t878)))) @t1)) % 1.33/1.53 (define @t2038 () (not (tptp.in @t2036 @t2))) % 1.33/1.53 (define @t2039 () (or @t1904 @t2038 @t2037)) % 1.33/1.53 (define @t2040 () (@list @t2 @t1 @t878 @t2036)) % 1.33/1.53 (define @t2041 () (forall @t2040 @t2039)) % 1.33/1.53 (define @t2042 () (@var "BOUND_VARIABLE_12416" $$unsorted)) % 1.33/1.53 (define @t2043 () (tptp.singleton (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t2042 @t19) @t878))))) % 1.33/1.53 (define @t2044 () (not (tptp.in @t2042 @t2))) % 1.33/1.53 (define @t2045 () (or @t1904 @t2044 @t2043)) % 1.33/1.53 (define @t2046 () (@list @t2 @t1 @t878 @t2042)) % 1.33/1.53 (define @t2047 () (forall @t2046 @t2045)) % 1.33/1.53 (define @t2048 () (_ @t67 @t4 @t19)) % 1.33/1.53 (define @t2049 () (tptp.dpsetconstr @t2 @t1 @t67)) % 1.33/1.53 (define @t2050 () (tptp.kpair @t4 @t19)) % 1.33/1.53 (define @t2051 () (tptp.in @t2050 @t2049)) % 1.33/1.53 (define @t2052 () (not @t2051)) % 1.33/1.53 (define @t2053 () (forall @t871 (or @t2052 @t2048))) % 1.33/1.53 (define @t2054 () (tptp.in @t19 @t1)) % 1.33/1.53 (define @t2055 () (forall @t871 (or @t2052 @t2054))) % 1.33/1.53 (define @t2056 () (forall @t871 (or @t2052 @t1794))) % 1.33/1.53 (define @t2057 () (@var "BOUND_VARIABLE_12357" $$unsorted)) % 1.33/1.53 (define @t2058 () (_ @t67 @t4 @t2057)) % 1.33/1.53 (define @t2059 () (not (tptp.in (tptp.kpair @t4 @t2057) @t2049))) % 1.33/1.53 (define @t2060 () (not (tptp.in @t2057 @t1))) % 1.33/1.53 (define @t2061 () (or @t1795 @t2060 @t2059 @t2058)) % 1.33/1.53 (define @t2062 () (@list @t2 @t1 @t67 @t4 @t2057)) % 1.33/1.53 (define @t2063 () (forall @t2062 @t2061)) % 1.33/1.53 (define @t2064 () (forall @t860 (tptp.subset @t2049 @t1934))) % 1.33/1.53 (define @t2065 () (@var "BOUND_VARIABLE_12301" $$unsorted)) % 1.33/1.53 (define @t2066 () (tptp.in (tptp.kpair @t4 @t2065) @t2049)) % 1.33/1.53 (define @t2067 () (not (_ @t67 @t4 @t2065))) % 1.33/1.53 (define @t2068 () (not (tptp.in @t2065 @t1))) % 1.33/1.53 (define @t2069 () (or @t1795 @t2068 @t2067 @t2066)) % 1.33/1.53 (define @t2070 () (@list @t2 @t1 @t67 @t4 @t2065)) % 1.33/1.53 (define @t2071 () (forall @t2070 @t2069)) % 1.33/1.53 (define @t2072 () (tptp.ksnd @t383)) % 1.33/1.53 (define @t2073 () (tptp.kfst @t383)) % 1.33/1.53 (define @t2074 () (tptp.kpair @t2073 @t2072)) % 1.33/1.53 (define @t2075 () (= @t383 @t2074)) % 1.33/1.53 (define @t2076 () (tptp.in @t383 @t1934)) % 1.33/1.53 (define @t2077 () (not @t2076)) % 1.33/1.53 (define @t2078 () (forall @t689 (or @t2077 @t2075))) % 1.33/1.53 (define @t2079 () (@var "BOUND_VARIABLE_12253" $$unsorted)) % 1.33/1.53 (define @t2080 () (= @t2079 (tptp.ksnd (tptp.kpair @t4 @t2079)))) % 1.33/1.53 (define @t2081 () (not (tptp.in @t2079 @t1))) % 1.33/1.53 (define @t2082 () (or @t1795 @t2081 @t2080)) % 1.33/1.53 (define @t2083 () (@list @t2 @t1 @t4 @t2079)) % 1.33/1.53 (define @t2084 () (forall @t2083 @t2082)) % 1.33/1.53 (define @t2085 () (@var "BOUND_VARIABLE_12226" $$unsorted)) % 1.33/1.53 (define @t2086 () (= @t4 (tptp.kfst (tptp.kpair @t4 @t2085)))) % 1.33/1.53 (define @t2087 () (not (tptp.in @t2085 @t1))) % 1.33/1.53 (define @t2088 () (or @t1795 @t2087 @t2086)) % 1.33/1.53 (define @t2089 () (@list @t2 @t1 @t4 @t2085)) % 1.33/1.53 (define @t2090 () (forall @t2089 @t2088)) % 1.33/1.53 (define @t2091 () (tptp.in @t2050 @t1934)) % 1.33/1.53 (define @t2092 () (not @t2091)) % 1.33/1.53 (define @t2093 () (forall @t823 (or @t2092 @t2054))) % 1.33/1.53 (define @t2094 () (forall @t823 (or @t2092 @t1794))) % 1.33/1.53 (define @t2095 () (tptp.in @t2072 @t1)) % 1.33/1.53 (define @t2096 () (forall @t689 (or @t2077 @t2095))) % 1.33/1.53 (define @t2097 () (tptp.iskpair @t383)) % 1.33/1.53 (define @t2098 () (not @t2097)) % 1.33/1.53 (define @t2099 () (forall @t756 (or @t2098 @t2075))) % 1.33/1.53 (define @t2100 () (tptp.ksnd @t2050)) % 1.33/1.53 (define @t2101 () (= @t19 @t2100)) % 1.33/1.53 (define @t2102 () (forall @t135 @t2101)) % 1.33/1.53 (define @t2103 () (tptp.kpair @t2073 @t4)) % 1.33/1.53 (define @t2104 () (= @t383 @t2103)) % 1.33/1.53 (define @t2105 () (lambda @t9 @t2104)) % 1.33/1.53 (define @t2106 () (tptp.setunion @t383)) % 1.33/1.53 (define @t2107 () (tptp.dsetconstr @t2106 @t2105)) % 1.33/1.53 (define @t2108 () (tptp.singleton @t2107)) % 1.33/1.53 (define @t2109 () (forall @t756 (or @t2098 @t2108))) % 1.33/1.53 (define @t2110 () (tptp.kpair @t289 @t383)) % 1.33/1.53 (define @t2111 () (not (= @t2050 @t2110))) % 1.33/1.53 (define @t2112 () (forall @t777 (or @t2111 @t791))) % 1.33/1.53 (define @t2113 () (tptp.setadjoin @t383 tptp.emptyset)) % 1.33/1.53 (define @t2114 () (tptp.setadjoin @t289 @t2113)) % 1.33/1.53 (define @t2115 () (tptp.setadjoin @t2114 tptp.emptyset)) % 1.33/1.53 (define @t2116 () (tptp.setadjoin @t289 tptp.emptyset)) % 1.33/1.53 (define @t2117 () (tptp.setadjoin @t2116 @t2115)) % 1.33/1.53 (define @t2118 () (tptp.setadjoin @t19 tptp.emptyset)) % 1.33/1.53 (define @t2119 () (tptp.setadjoin @t4 @t2118)) % 1.33/1.53 (define @t2120 () (tptp.setadjoin @t2119 tptp.emptyset)) % 1.33/1.53 (define @t2121 () (tptp.setadjoin @t1864 @t2120)) % 1.33/1.53 (define @t2122 () (not (= @t2121 @t2117))) % 1.33/1.53 (define @t2123 () (forall @t777 (or @t2122 @t791))) % 1.33/1.53 (define @t2124 () (forall @t297 (or (not (= @t2119 @t2116)) @t129))) % 1.33/1.53 (define @t2125 () (not (= @t2121 (tptp.setadjoin @t2113 (tptp.setadjoin (tptp.setadjoin @t383 @t2113) tptp.emptyset))))) % 1.33/1.53 (define @t2126 () (or @t2125 @t791)) % 1.33/1.53 (define @t2127 () (@list @t4 @t19 @t383)) % 1.33/1.53 (define @t2128 () (forall @t2127 @t2126)) % 1.33/1.53 (define @t2129 () (tptp.setadjoin @t19 @t2118)) % 1.33/1.53 (define @t2130 () (= (tptp.setadjoin @t2118 (tptp.setadjoin @t2129 tptp.emptyset)) (tptp.setadjoin @t2118 tptp.emptyset))) % 1.33/1.53 (define @t2131 () (forall @t70 @t2130)) % 1.33/1.53 (define @t2132 () (= @t2118 @t2129)) % 1.33/1.53 (define @t2133 () (forall @t70 @t2132)) % 1.33/1.53 (define @t2134 () (forall @t777 (or @t2111 @t744))) % 1.33/1.53 (define @t2135 () (forall @t777 (or @t2122 @t744))) % 1.33/1.53 (define @t2136 () (tptp.in @t2073 @t2)) % 1.33/1.53 (define @t2137 () (forall @t689 (or @t2077 @t2136))) % 1.33/1.53 (define @t2138 () (tptp.kfst @t2050)) % 1.33/1.53 (define @t2139 () (= @t4 @t2138)) % 1.33/1.53 (define @t2140 () (forall @t135 @t2139)) % 1.33/1.53 (define @t2141 () (tptp.in @t1849 @t695)) % 1.33/1.53 (define @t2142 () (forall @t700 (or @t1852 @t2141))) % 1.33/1.53 (define @t2143 () (tptp.in @t1864 @t383)) % 1.33/1.53 (define @t2144 () (lambda @t9 @t2143)) % 1.33/1.53 (define @t2145 () (tptp.dsetconstr @t2106 @t2144)) % 1.33/1.53 (define @t2146 () (tptp.singleton @t2145)) % 1.33/1.53 (define @t2147 () (forall @t756 (or @t2098 @t2146))) % 1.33/1.53 (define @t2148 () (tptp.in @t2116 @t2121)) % 1.33/1.53 (define @t2149 () (forall @t297 (or (not @t2148) @t744))) % 1.33/1.53 (define @t2150 () (forall @t135 (or (not (= @t2118 @t1864)) @t129))) % 1.33/1.53 (define @t2151 () (@var "BOUND_VARIABLE_11886" $$unsorted)) % 1.33/1.53 (define @t2152 () (not (_ @t143 @t2151))) % 1.33/1.53 (define @t2153 () (not (tptp.in @t2151 @t2))) % 1.33/1.53 (define @t2154 () (@var "BOUND_VARIABLE_11859" $$unsorted)) % 1.33/1.53 (define @t2155 () (= @t4 @t2154)) % 1.33/1.53 (define @t2156 () (not (_ @t143 @t2154))) % 1.33/1.53 (define @t2157 () (not (tptp.in @t2154 @t2))) % 1.33/1.53 (define @t2158 () (_ @t143 @t4)) % 1.33/1.53 (define @t2159 () (not @t2158)) % 1.33/1.53 (define @t2160 () (or @t1795 @t2159 @t2157 @t2156 @t2155)) % 1.33/1.53 (define @t2161 () (@list @t4 @t2154)) % 1.33/1.53 (define @t2162 () (forall @t2161 @t2160)) % 1.33/1.53 (define @t2163 () (not @t2162)) % 1.33/1.53 (define @t2164 () (or @t2163 @t1997 @t2153 @t2152)) % 1.33/1.53 (define @t2165 () (@list @t2 @t143 @t2151)) % 1.33/1.53 (define @t2166 () (forall @t2165 @t2164)) % 1.33/1.53 (define @t2167 () (_ @t143 @t19)) % 1.33/1.53 (define @t2168 () (not @t2167)) % 1.33/1.53 (define @t2169 () (tptp.in @t19 @t2)) % 1.33/1.53 (define @t2170 () (not @t2169)) % 1.33/1.53 (define @t2171 () (forall @t70 (or @t2170 @t2168 @t129))) % 1.33/1.53 (define @t2172 () (not @t2171)) % 1.33/1.53 (define @t2173 () (forall @t159 (or @t1795 @t2159 @t2172 @t1997))) % 1.33/1.53 (define @t2174 () (forall @t9 (or @t1795 @t2159))) % 1.33/1.53 (define @t2175 () (not @t2174)) % 1.33/1.53 (define @t2176 () (forall @t311 (or @t1998 @t2175))) % 1.33/1.53 (define @t2177 () (tptp.setunion @t1864)) % 1.33/1.53 (define @t2178 () (forall @t9 (= @t4 @t2177))) % 1.33/1.53 (define @t2179 () (tptp.setadjoin @t2 tptp.emptyset)) % 1.33/1.53 (define @t2180 () (tptp.setunion @t2179)) % 1.33/1.53 (define @t2181 () (tptp.subset @t2 @t2180)) % 1.33/1.53 (define @t2182 () (forall @t64 @t2181)) % 1.33/1.53 (define @t2183 () (tptp.subset @t2180 @t2)) % 1.33/1.53 (define @t2184 () (forall @t64 @t2183)) % 1.33/1.53 (define @t2185 () (tptp.in @t695 @t2)) % 1.33/1.53 (define @t2186 () (not (forall @t700 (or (not @t2185) @t1793)))) % 1.33/1.53 (define @t2187 () (tptp.setunion @t2)) % 1.33/1.53 (define @t2188 () (tptp.in @t4 @t2187)) % 1.33/1.53 (define @t2189 () (not @t2188)) % 1.33/1.53 (define @t2190 () (forall @t46 (or @t2189 @t2186))) % 1.33/1.53 (define @t2191 () (forall @t689 (or @t2077 @t2097))) % 1.33/1.53 (define @t2192 () (@var "BOUND_VARIABLE_11769" $$unsorted)) % 1.33/1.53 (define @t2193 () (not (= @t383 (tptp.kpair @t4 @t2192)))) % 1.33/1.53 (define @t2194 () (not (tptp.in @t2192 @t1))) % 1.33/1.53 (define @t2195 () (or @t1795 @t2194 @t2193)) % 1.33/1.53 (define @t2196 () (@list @t4 @t2192)) % 1.33/1.53 (define @t2197 () (not (forall @t2196 @t2195))) % 1.33/1.53 (define @t2198 () (forall @t689 (or @t2077 @t2197))) % 1.33/1.53 (define @t2199 () (@var "BOUND_VARIABLE_11735" $$unsorted)) % 1.33/1.53 (define @t2200 () (tptp.in (tptp.kpair @t4 @t2199) @t1934)) % 1.33/1.53 (define @t2201 () (not (tptp.in @t2199 @t1))) % 1.33/1.53 (define @t2202 () (or @t1795 @t2201 @t2200)) % 1.33/1.53 (define @t2203 () (@list @t2 @t1 @t4 @t2199)) % 1.33/1.53 (define @t2204 () (forall @t2203 @t2202)) % 1.33/1.53 (define @t2205 () (tptp.binunion @t2 @t1)) % 1.33/1.53 (define @t2206 () (tptp.powerset @t2205)) % 1.33/1.53 (define @t2207 () (tptp.powerset @t2206)) % 1.33/1.53 (define @t2208 () (@var "BOUND_VARIABLE_11708" $$unsorted)) % 1.33/1.53 (define @t2209 () (tptp.in (tptp.kpair @t4 @t2208) @t2207)) % 1.33/1.53 (define @t2210 () (not (tptp.in @t2208 @t1))) % 1.33/1.53 (define @t2211 () (or @t1795 @t2210 @t2209)) % 1.33/1.53 (define @t2212 () (@list @t2 @t1 @t4 @t2208)) % 1.33/1.53 (define @t2213 () (forall @t2212 @t2211)) % 1.33/1.53 (define @t2214 () (@var "BOUND_VARIABLE_11678" $$unsorted)) % 1.33/1.53 (define @t2215 () (tptp.in (tptp.setadjoin @t1864 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t2214 tptp.emptyset)) tptp.emptyset)) @t2207)) % 1.33/1.53 (define @t2216 () (not (tptp.in @t2214 @t1))) % 1.33/1.53 (define @t2217 () (or @t1795 @t2216 @t2215)) % 1.33/1.53 (define @t2218 () (@list @t2 @t1 @t4 @t2214)) % 1.33/1.53 (define @t2219 () (forall @t2218 @t2217)) % 1.33/1.53 (define @t2220 () (@var "BOUND_VARIABLE_11646" $$unsorted)) % 1.33/1.53 (define @t2221 () (tptp.subset (tptp.setadjoin @t1864 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t2220 tptp.emptyset)) tptp.emptyset)) @t2206)) % 1.33/1.53 (define @t2222 () (not (tptp.in @t2220 @t1))) % 1.33/1.53 (define @t2223 () (or @t1795 @t2222 @t2221)) % 1.33/1.53 (define @t2224 () (@list @t2 @t1 @t4 @t2220)) % 1.33/1.53 (define @t2225 () (forall @t2224 @t2223)) % 1.33/1.53 (define @t2226 () (@var "BOUND_VARIABLE_11618" $$unsorted)) % 1.33/1.53 (define @t2227 () (tptp.in (tptp.setadjoin @t4 (tptp.setadjoin @t2226 tptp.emptyset)) @t2206)) % 1.33/1.53 (define @t2228 () (not (tptp.in @t2226 @t1))) % 1.33/1.53 (define @t2229 () (or @t1795 @t2228 @t2227)) % 1.33/1.53 (define @t2230 () (@list @t2 @t1 @t4 @t2226)) % 1.33/1.53 (define @t2231 () (forall @t2230 @t2229)) % 1.33/1.53 (define @t2232 () (@var "BOUND_VARIABLE_11590" $$unsorted)) % 1.33/1.53 (define @t2233 () (tptp.subset (tptp.setadjoin @t4 (tptp.setadjoin @t2232 tptp.emptyset)) @t2205)) % 1.33/1.53 (define @t2234 () (not (tptp.in @t2232 @t1))) % 1.33/1.53 (define @t2235 () (or @t1795 @t2234 @t2233)) % 1.33/1.53 (define @t2236 () (@list @t2 @t1 @t4 @t2232)) % 1.33/1.53 (define @t2237 () (forall @t2236 @t2235)) % 1.33/1.53 (define @t2238 () (= @t19 @t289)) % 1.33/1.53 (define @t2239 () (tptp.in @t289 @t2119)) % 1.33/1.53 (define @t2240 () (forall @t297 (or (not @t2239) @t744 @t2238))) % 1.33/1.53 (define @t2241 () (tptp.in @t1864 @t2206)) % 1.33/1.53 (define @t2242 () (forall @t245 (or @t1795 @t2241))) % 1.33/1.53 (define @t2243 () (tptp.in @t1864 @t1632)) % 1.33/1.53 (define @t2244 () (forall @t46 (or @t1795 @t2243))) % 1.33/1.53 (define @t2245 () (tptp.subset @t1864 @t2)) % 1.33/1.53 (define @t2246 () (forall @t46 (or @t1795 @t2245))) % 1.33/1.53 (define @t2247 () (tptp.iskpair @t2050)) % 1.33/1.53 (define @t2248 () (forall @t135 @t2247)) % 1.33/1.53 (define @t2249 () (tptp.iskpair @t2121)) % 1.33/1.53 (define @t2250 () (forall @t135 @t2249)) % 1.33/1.53 (define @t2251 () (tptp.setunion @t2121)) % 1.33/1.53 (define @t2252 () (tptp.in @t19 @t2251)) % 1.33/1.53 (define @t2253 () (forall @t135 @t2252)) % 1.33/1.53 (define @t2254 () (tptp.in @t4 @t2251)) % 1.33/1.53 (define @t2255 () (forall @t135 @t2254)) % 1.33/1.53 (define @t2256 () (tptp.in @t19 @t2119)) % 1.33/1.53 (define @t2257 () (forall @t135 @t2256)) % 1.33/1.53 (define @t2258 () (tptp.symdiff @t2 @t1)) % 1.33/1.53 (define @t2259 () (tptp.in @t4 @t2258)) % 1.33/1.53 (define @t2260 () (not @t2259)) % 1.33/1.53 (define @t2261 () (tptp.in @t4 @t1)) % 1.33/1.53 (define @t2262 () (forall @t245 (or @t1794 @t2261 @t2260))) % 1.33/1.53 (define @t2263 () (not @t2261)) % 1.33/1.53 (define @t2264 () (forall @t245 (or @t1795 @t2263 @t2260))) % 1.33/1.53 (define @t2265 () (forall @t245 (or @t1794 @t2263 @t2259))) % 1.33/1.53 (define @t2266 () (forall @t245 (or @t1795 @t2261 @t2259))) % 1.33/1.53 (define @t2267 () (and @t1795 @t2261)) % 1.33/1.53 (define @t2268 () (and @t1794 @t2263)) % 1.33/1.53 (define @t2269 () (forall @t245 (or @t2260 @t2268 @t2267))) % 1.33/1.53 (define @t2270 () (tptp.subset @t2 @t1)) % 1.33/1.53 (define @t2271 () (tptp.setminus @t2 @t1)) % 1.33/1.53 (define @t2272 () (= tptp.emptyset @t2271)) % 1.33/1.53 (define @t2273 () (forall @t12 (or (not @t2272) @t2270))) % 1.33/1.53 (define @t2274 () (tptp.subset @t2271 @t2)) % 1.33/1.53 (define @t2275 () (forall @t12 @t2274)) % 1.33/1.53 (define @t2276 () (tptp.in @t4 @t2271)) % 1.33/1.53 (define @t2277 () (not @t2276)) % 1.33/1.53 (define @t2278 () (forall @t245 (or @t2263 @t2277))) % 1.33/1.53 (define @t2279 () (forall @t245 (or @t1794 @t2277))) % 1.33/1.53 (define @t2280 () (forall @t245 (or @t2276 @t2261 @t1795))) % 1.33/1.53 (define @t2281 () (forall @t245 (or @t2276 @t1795 @t2261))) % 1.33/1.53 (define @t2282 () (not @t2270)) % 1.33/1.53 (define @t2283 () (forall @t12 (or @t2282 @t2272))) % 1.33/1.53 (define @t2284 () (forall @t245 (or @t2277 @t2263))) % 1.33/1.53 (define @t2285 () (forall @t245 (or @t2277 @t1794))) % 1.33/1.53 (define @t2286 () (forall @t245 (or @t1795 @t2261 @t2276))) % 1.33/1.53 (define @t2287 () (tptp.binintersect @t2 @t104)) % 1.33/1.53 (define @t2288 () (tptp.binintersect @t2 @t1)) % 1.33/1.53 (define @t2289 () (tptp.binunion @t2288 @t2287)) % 1.33/1.53 (define @t2290 () (tptp.binunion @t1 @t104)) % 1.33/1.53 (define @t2291 () (tptp.binintersect @t2 @t2290)) % 1.33/1.53 (define @t2292 () (forall @t457 (= @t2291 @t2289))) % 1.33/1.53 (define @t2293 () (= @t2 @t2288)) % 1.33/1.53 (define @t2294 () (forall @t12 (or (not @t2293) @t2270))) % 1.33/1.53 (define @t2295 () (= @t1 @t2288)) % 1.33/1.53 (define @t2296 () (tptp.subset @t1 @t2)) % 1.33/1.53 (define @t2297 () (not @t2296)) % 1.33/1.53 (define @t2298 () (forall @t12 (or @t2297 @t2295))) % 1.33/1.53 (define @t2299 () (tptp.subset @t2288 @t1)) % 1.33/1.53 (define @t2300 () (forall @t12 @t2299)) % 1.33/1.53 (define @t2301 () (forall @t9 (or @t1795 @t2263))) % 1.33/1.53 (define @t2302 () (not @t2301)) % 1.33/1.53 (define @t2303 () (forall @t12 (or @t2302 (= tptp.emptyset @t2288)))) % 1.33/1.53 (define @t2304 () (tptp.in @t4 @t2288)) % 1.33/1.53 (define @t2305 () (not @t2304)) % 1.33/1.53 (define @t2306 () (forall @t245 (or @t2305 @t2261))) % 1.33/1.53 (define @t2307 () (forall @t12 (or (not @t2295) @t2296))) % 1.33/1.53 (define @t2308 () (forall @t12 (or @t2282 @t2293))) % 1.33/1.53 (define @t2309 () (tptp.subset @t2288 @t2)) % 1.33/1.53 (define @t2310 () (forall @t12 @t2309)) % 1.33/1.53 (define @t2311 () (forall @t245 (or @t2305 @t1794))) % 1.33/1.53 (define @t2312 () (tptp.subset @t104 @t2288)) % 1.33/1.53 (define @t2313 () (tptp.subset @t104 @t1)) % 1.33/1.53 (define @t2314 () (tptp.subset @t104 @t2)) % 1.33/1.53 (define @t2315 () (forall @t457 (or (not @t2314) (not @t2313) @t2312))) % 1.33/1.53 (define @t2316 () (forall @t245 (or @t1795 @t2263 @t2304))) % 1.33/1.53 (define @t2317 () (tptp.subset @t1 @t2205)) % 1.33/1.53 (define @t2318 () (forall @t12 @t2317)) % 1.33/1.53 (define @t2319 () (tptp.subset @t2 @t2205)) % 1.33/1.53 (define @t2320 () (forall @t12 @t2319)) % 1.33/1.53 (define @t2321 () (tptp.in @t4 @t2205)) % 1.33/1.53 (define @t2322 () (not @t2321)) % 1.33/1.53 (define @t2323 () (forall @t245 (or @t2322 @t1794 @t2261))) % 1.33/1.53 (define @t2324 () (forall @t245 (or @t2263 @t2321))) % 1.33/1.53 (define @t2325 () (forall @t245 (or @t1795 @t2321))) % 1.33/1.53 (define @t2326 () (forall @t311 (tptp.subset @t1996 @t2))) % 1.33/1.53 (define @t2327 () (forall @t311 (tptp.in @t1996 @t1632))) % 1.33/1.53 (define @t2328 () (tptp.powerset @t1)) % 1.33/1.53 (define @t2329 () (tptp.subset @t1632 @t2328)) % 1.33/1.53 (define @t2330 () (forall @t12 (or @t2282 @t2329))) % 1.33/1.53 (define @t2331 () (tptp.in @t2 @t1632)) % 1.33/1.53 (define @t2332 () (forall @t64 @t2331)) % 1.33/1.53 (define @t2333 () (tptp.in @t1 @t1632)) % 1.33/1.53 (define @t2334 () (not @t2333)) % 1.33/1.53 (define @t2335 () (forall @t12 (or @t2334 @t2296))) % 1.33/1.53 (define @t2336 () (forall @t12 (or @t2297 @t2333))) % 1.33/1.53 (define @t2337 () (tptp.subset @t2 tptp.emptyset)) % 1.33/1.53 (define @t2338 () (forall @t64 (or (not @t2337) @t196))) % 1.33/1.53 (define @t2339 () (forall @t12 (or @t2282 @t2297 @t3))) % 1.33/1.53 (define @t2340 () (tptp.in @t2 @t2328)) % 1.33/1.53 (define @t2341 () (forall @t12 (or @t2282 @t2340))) % 1.33/1.53 (define @t2342 () (tptp.setadjoin @t4 @t1)) % 1.33/1.53 (define @t2343 () (tptp.subset @t2 @t2342)) % 1.33/1.53 (define @t2344 () (forall @t249 (or @t2282 @t2343))) % 1.33/1.53 (define @t2345 () (tptp.setadjoin @t4 @t2)) % 1.33/1.53 (define @t2346 () (tptp.subset @t2 @t2345)) % 1.33/1.53 (define @t2347 () (forall @t461 @t2346)) % 1.33/1.53 (define @t2348 () (tptp.subset @t2 @t104)) % 1.33/1.53 (define @t2349 () (tptp.subset @t1 @t104)) % 1.33/1.53 (define @t2350 () (forall @t457 (or @t2282 (not @t2349) @t2348))) % 1.33/1.53 (define @t2351 () (tptp.subset @t2 @t2)) % 1.33/1.53 (define @t2352 () (forall @t64 @t2351)) % 1.33/1.53 (define @t2353 () (tptp.subset @t1 @t1)) % 1.33/1.53 (define @t2354 () (forall @t41 @t2353)) % 1.33/1.53 (define @t2355 () (forall @t245 (or @t1795 @t2261 @t2282))) % 1.33/1.53 (define @t2356 () (forall @t245 (or @t2282 @t2261 @t1795))) % 1.33/1.53 (define @t2357 () (forall @t245 (or @t2282 @t1795 @t2261))) % 1.33/1.53 (define @t2358 () (tptp.subset tptp.emptyset @t2)) % 1.33/1.53 (define @t2359 () (forall @t64 @t2358)) % 1.33/1.53 (define @t2360 () (forall @t9 (or @t1795 @t2261))) % 1.33/1.53 (define @t2361 () (not @t2360)) % 1.33/1.53 (define @t2362 () (forall @t12 (or @t2361 @t2270))) % 1.33/1.53 (define @t2363 () (@var "BOUND_VARIABLE_10987" (-> $$unsorted Bool))) % 1.33/1.53 (define @t2364 () (tptp.dsetconstr @t1 @t2363)) % 1.33/1.53 (define @t2365 () (@var "BOUND_VARIABLE_10989" (-> $$unsorted Bool))) % 1.33/1.53 (define @t2366 () (tptp.dsetconstr @t1 @t2365)) % 1.33/1.53 (define @t2367 () (= @t2366 @t2364)) % 1.33/1.53 (define @t2368 () (= (_ @t2363 @t4) (_ @t2365 @t4))) % 1.33/1.53 (define @t2369 () (or @t2263 @t2368)) % 1.33/1.53 (define @t2370 () (not (forall @t9 @t2369))) % 1.33/1.53 (define @t2371 () (or @t2370 @t2367)) % 1.33/1.53 (define @t2372 () (@list @t1 @t2363 @t2365)) % 1.33/1.53 (define @t2373 () (forall @t2372 @t2371)) % 1.33/1.53 (define @t2374 () (@var "BOUND_VARIABLE_10926" $$unsorted)) % 1.33/1.53 (define @t2375 () (_ @t368 @t19)) % 1.33/1.53 (define @t2376 () (not @t2375)) % 1.33/1.53 (define @t2377 () (not (_ @t368 @t2374))) % 1.33/1.53 (define @t2378 () (@var "BOUND_VARIABLE_10917" $$unsorted)) % 1.33/1.53 (define @t2379 () (not (_ @t143 @t2378))) % 1.33/1.53 (define @t2380 () (tptp.descr @t143)) % 1.33/1.53 (define @t2381 () (= @t2380 (tptp.descr @t368))) % 1.33/1.53 (define @t2382 () (= @t2167 @t2375)) % 1.33/1.53 (define @t2383 () (forall @t70 @t2382)) % 1.33/1.53 (define @t2384 () (not @t2383)) % 1.33/1.53 (define @t2385 () (@list @t143 @t368 @t2378 @t2374)) % 1.33/1.53 (define @t2386 () (forall @t2385 (or @t2384 @t2381 @t2379 (not (forall @t70 (or @t2168 (= @t19 @t2378)))) @t2377 (not (forall @t70 (or @t2376 (= @t19 @t2374))))))) % 1.33/1.53 (define @t2387 () (@var "BOUND_VARIABLE_10759" $$unsorted)) % 1.33/1.53 (define @t2388 () (@var "BOUND_VARIABLE_10757" $$unsorted)) % 1.33/1.53 (define @t2389 () (= @t2388 @t2387)) % 1.33/1.53 (define @t2390 () (not (_ @t143 @t2387))) % 1.33/1.53 (define @t2391 () (not (_ @t143 @t2388))) % 1.33/1.53 (define @t2392 () (@var "BOUND_VARIABLE_10748" $$unsorted)) % 1.33/1.53 (define @t2393 () (not (_ @t143 @t2392))) % 1.33/1.53 (define @t2394 () (@list @t143 @t2392 @t2388 @t2387)) % 1.33/1.53 (define @t2395 () (forall @t2394 (or @t2393 (not (forall @t70 (or @t2168 (= @t19 @t2392)))) @t2391 @t2390 @t2389))) % 1.33/1.53 (define @t2396 () (not (forall @t70 (or @t2376 @t129)))) % 1.33/1.53 (define @t2397 () (_ @t368 @t4)) % 1.33/1.53 (define @t2398 () (forall @t9 (or (not @t2397) @t2396))) % 1.33/1.53 (define @t2399 () (not @t2398)) % 1.33/1.53 (define @t2400 () (forall @t70 (or @t2168 @t129))) % 1.33/1.53 (define @t2401 () (not @t2400)) % 1.33/1.53 (define @t2402 () (forall @t9 (or @t2159 @t2401))) % 1.33/1.53 (define @t2403 () (not @t2402)) % 1.33/1.53 (define @t2404 () (= @t2403 @t2399)) % 1.33/1.53 (define @t2405 () (forall @t378 (or @t2384 @t2404))) % 1.33/1.53 (define @t2406 () (@var "BOUND_VARIABLE_10655" $$unsorted)) % 1.33/1.53 (define @t2407 () (@list @t143 @t2406)) % 1.33/1.53 (define @t2408 () (forall @t2407 (or (not (forall @t70 (= @t2167 (= @t19 @t2406)))) @t2403))) % 1.33/1.53 (define @t2409 () (forall @t135 (or @t2159 @t2168 @t129))) % 1.33/1.53 (define @t2410 () (not @t2409)) % 1.33/1.53 (define @t2411 () (@var "BOUND_VARIABLE_10639" $$unsorted)) % 1.33/1.53 (define @t2412 () (not (_ @t143 @t2411))) % 1.33/1.53 (define @t2413 () (or @t2412 @t2410 @t2403)) % 1.33/1.53 (define @t2414 () (forall (@list @t143 @t2411) @t2413)) % 1.33/1.53 (define @t2415 () (=> @t2414 (=> @t2408 (=> @t2395 (=> @t2405 (=> @t2395 (=> @t2386 (=> @t2373 (=> @t2362 (=> @t2354 (=> @t2354 (=> @t2362 (=> @t2359 (=> @t2357 (=> @t2356 (=> @t2355 (=> @t2354 (=> @t2352 (=> @t2350 (=> @t2347 (=> @t2344 (=> @t2341 (=> @t2339 (=> @t2338 (=> @t2336 (=> @t2335 (=> @t2332 (=> @t2330 (=> @t2327 (=> @t2326 (=> @t2325 (=> @t2257 (=> @t2324 (=> @t2323 (=> @t2323 (=> @t2320 (=> @t2318 (=> @t2316 (=> @t2315 (=> @t2311 (=> @t2310 (=> @t2308 (=> @t2307 (=> @t2306 (=> @t2303 (=> @t2300 (=> @t2298 (=> @t2294 (=> @t2292 (=> @t2286 (=> @t2285 (=> @t2284 (=> @t2283 (=> @t2281 (=> @t2280 (=> @t2279 (=> @t2278 (=> @t2275 (=> @t2273 (=> @t2269 (=> @t2266 (=> @t2265 (=> @t2264 (=> @t2262 (=> @t2257 (=> @t2255 (=> @t2253 (=> @t2250 (=> @t2248 (=> @t2246 (=> @t2244 (=> @t2242 (=> @t2240 (=> @t2237 (=> @t2231 (=> @t2225 (=> @t2219 (=> @t2213 (=> @t2204 (=> @t2198 (=> @t2191 (=> @t2190 (=> @t2184 (=> @t2182 (=> @t2178 (=> @t2166 (=> @t2176 (=> @t2173 (=> @t2166 (=> @t2150 (=> @t2149 (=> @t2147 (=> @t2142 (=> @t2140 (=> @t2137 (=> @t2135 (=> @t2134 (=> @t2133 (=> @t2131 (=> @t2128 (=> @t2124 (=> @t2123 (=> @t2112 (=> @t2109 (=> @t2102 (=> @t2099 (=> @t2096 (=> @t2094 (=> @t2093 (=> @t2090 (=> @t2084 (=> @t2078 (=> @t2071 (=> @t2064 (=> @t2064 (=> @t2063 (=> @t2056 (=> @t2055 (=> @t2053 (=> @t2047 (=> @t2041 (=> @t2035 (=> @t2029 (=> @t2028 (=> @t2022 (=> @t2021 (=> @t2016 (=> @t2015 (=> @t2014 (=> @t2014 (=> @t2001 (=> @t1988 (=> @t1982 (=> @t1976 (=> @t1968 (=> @t1955 (=> @t1947 (=> @t1940 (=> @t1919 (=> @t1912 (=> @t1901 (=> @t1905 @t1902)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 1.33/1.53 (define @t2416 () (tptp.prop2set true)) % 1.33/1.53 (define @t2417 () (tptp.set2prop @t2416)) % 1.33/1.53 (define @t2418 () (=> @t2417 @t2415)) % 1.33/1.53 (define @t2419 () (tptp.in tptp.emptyset @t2416)) % 1.33/1.53 (define @t2420 () (=> @t2419 @t2418)) % 1.33/1.53 (define @t2421 () (tptp.in @t4 tptp.emptyset)) % 1.33/1.53 (define @t2422 () (not @t2421)) % 1.33/1.53 (define @t2423 () (forall @t314 (or @t2422 @t2158))) % 1.33/1.53 (define @t2424 () (=> @t2423 @t2420)) % 1.33/1.53 (define @t2425 () (@var "BOUND_VARIABLE_10548" $$unsorted)) % 1.33/1.53 (define @t2426 () (not (_ @t143 @t2425))) % 1.33/1.53 (define @t2427 () (not (tptp.in @t2425 @t2))) % 1.33/1.53 (define @t2428 () (not (= tptp.emptyset @t1996))) % 1.33/1.53 (define @t2429 () (or @t2428 @t2427 @t2426)) % 1.33/1.53 (define @t2430 () (@list @t2 @t143 @t2425)) % 1.33/1.53 (define @t2431 () (forall @t2430 @t2429)) % 1.33/1.53 (define @t2432 () (=> @t2431 @t2424)) % 1.33/1.53 (define @t2433 () (=> @t2257 @t2432)) % 1.33/1.53 (define @t2434 () (tptp.in @t4 @t2119)) % 1.33/1.53 (define @t2435 () (forall @t135 @t2434)) % 1.33/1.53 (define @t2436 () (=> @t2435 @t2433)) % 1.33/1.53 (define @t2437 () (=> @t2240 @t2436)) % 1.33/1.53 (define @t2438 () (tptp.in @t19 @t1864)) % 1.33/1.53 (define @t2439 () (tptp.in @t4 @t2118)) % 1.33/1.53 (define @t2440 () (not @t2439)) % 1.33/1.53 (define @t2441 () (forall @t135 (or @t2440 @t2438))) % 1.33/1.53 (define @t2442 () (=> @t2441 @t2437)) % 1.33/1.53 (define @t2443 () (tptp.in @t19 @t2118)) % 1.33/1.53 (define @t2444 () (forall @t70 @t2443)) % 1.33/1.53 (define @t2445 () (=> @t2444 @t2442)) % 1.33/1.53 (define @t2446 () (forall @t135 (or @t129 (not @t2438)))) % 1.33/1.53 (define @t2447 () (=> @t2446 @t2445)) % 1.33/1.53 (define @t2448 () (forall @t135 (or @t2440 @t129))) % 1.33/1.53 (define @t2449 () (=> @t2448 @t2447)) % 1.33/1.53 (define @t2450 () (forall @t9 @t1795)) % 1.33/1.53 (define @t2451 () (not @t2450)) % 1.33/1.53 (define @t2452 () (forall @t64 (or @t196 @t2451))) % 1.33/1.53 (define @t2453 () (=> @t2452 @t2449)) % 1.33/1.53 (define @t2454 () (@var "BOUND_VARIABLE_10433" $$unsorted)) % 1.33/1.53 (define @t2455 () (not (_ @t143 @t2454))) % 1.33/1.53 (define @t2456 () (forall @t70 (= @t129 @t2167))) % 1.33/1.53 (define @t2457 () (forall @t9 (not @t2456))) % 1.33/1.53 (define @t2458 () (not @t2457)) % 1.33/1.53 (define @t2459 () (@list @t143 @t2454)) % 1.33/1.53 (define @t2460 () (forall @t2459 (or @t2458 @t2455 (not (forall @t70 (or @t2168 (= @t19 @t2454))))))) % 1.33/1.53 (define @t2461 () (=> @t2460 @t2453)) % 1.33/1.53 (define @t2462 () (tptp.powerset @t2187)) % 1.33/1.53 (define @t2463 () (tptp.in @t4 @t2462)) % 1.33/1.53 (define @t2464 () (forall @t46 (or @t1795 @t2463))) % 1.33/1.53 (define @t2465 () (=> @t2464 @t2461)) % 1.33/1.53 (define @t2466 () (tptp.in @t1 @t2)) % 1.33/1.53 (define @t2467 () (not @t2466)) % 1.33/1.53 (define @t2468 () (forall @t41 (or @t2263 @t2467))) % 1.33/1.53 (define @t2469 () (not @t2468)) % 1.33/1.53 (define @t2470 () (forall @t46 (or @t2189 @t2469))) % 1.33/1.53 (define @t2471 () (=> @t2470 @t2465)) % 1.33/1.53 (define @t2472 () (forall @t249 (or @t2263 @t2467 @t2188))) % 1.33/1.53 (define @t2473 () (=> @t2472 @t2471)) % 1.33/1.53 (define @t2474 () (forall @t245 (or @t2334 @t2263 @t1794))) % 1.33/1.53 (define @t2475 () (=> @t2474 @t2473)) % 1.33/1.53 (define @t2476 () (tptp.in tptp.emptyset @t1632)) % 1.33/1.53 (define @t2477 () (forall @t64 @t2476)) % 1.33/1.53 (define @t2478 () (=> @t2477 @t2475)) % 1.33/1.53 (define @t2479 () (=> @t2477 @t2478)) % 1.33/1.53 (define @t2480 () (forall @t9 (or @t2263 @t1794))) % 1.33/1.53 (define @t2481 () (not @t2480)) % 1.33/1.53 (define @t2482 () (forall @t12 (or @t2481 @t2333))) % 1.33/1.53 (define @t2483 () (=> @t2482 @t2479)) % 1.33/1.53 (define @t2484 () (@var "BOUND_VARIABLE_48471" $$unsorted)) % 1.33/1.53 (define @t2485 () (lambda (@list @t2484) true)) % 1.33/1.53 (define @t2486 () (tptp.dsetconstr @t2 @t2485)) % 1.33/1.53 (define @t2487 () (forall @t64 (= @t2 @t2486))) % 1.33/1.53 (define @t2488 () (=> @t2487 @t2483)) % 1.33/1.53 (define @t2489 () (tptp.in @t19 @t2345)) % 1.33/1.53 (define @t2490 () (forall @t28 (or (not @t2489) @t129 @t2169))) % 1.33/1.53 (define @t2491 () (=> @t2490 @t2488)) % 1.33/1.53 (define @t2492 () (=> @t2490 @t2491)) % 1.33/1.53 (define @t2493 () (forall @t28 (or @t2170 @t2489))) % 1.33/1.53 (define @t2494 () (=> @t2493 @t2492)) % 1.33/1.53 (define @t2495 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 1.33/1.53 (define @t2496 () (tptp.in tptp.emptyset @t2495)) % 1.33/1.53 (define @t2497 () (=> @t221 @t2494)) % 1.33/1.53 (define @t2498 () (tptp.setadjoin @t4 @t19)) % 1.33/1.53 (define @t2499 () (tptp.in @t4 @t2498)) % 1.33/1.53 (define @t2500 () (forall @t135 @t2499)) % 1.33/1.53 (define @t2501 () (=> @t2500 @t2497)) % 1.33/1.53 (define @t2502 () (@var "BOUND_VARIABLE_10274" $$unsorted)) % 1.33/1.53 (define @t2503 () (not (tptp.in @t2502 tptp.emptyset))) % 1.33/1.53 (define @t2504 () (@list @t2502)) % 1.33/1.53 (define @t2505 () (forall @t2504 @t2503)) % 1.33/1.53 (define @t2506 () (=> @t2505 @t2501)) % 1.33/1.53 (define @t2507 () (forall @t159 (or @t1795 @t2159 @t2428))) % 1.33/1.53 (define @t2508 () (=> @t2507 @t2506)) % 1.33/1.53 (define @t2509 () (=> @t2452 @t2508)) % 1.33/1.53 (define @t2510 () (tptp.in @t4 @t1996)) % 1.33/1.53 (define @t2511 () (forall @t159 (or @t1795 (= @t2158 @t2510)))) % 1.33/1.53 (define @t2512 () (=> @t2511 @t2509)) % 1.33/1.53 (define @t2513 () (forall @t64 (or @t2451 @t196))) % 1.33/1.53 (define @t2514 () (=> @t2513 @t2512)) % 1.33/1.53 (define @t2515 () (=> @t2513 @t2514)) % 1.33/1.53 (define @t2516 () (or @t2361 @t2481 @t3)) % 1.33/1.53 (define @t2517 () (forall @t12 @t2516)) % 1.33/1.53 (define @t2518 () (=> @t2517 @t2515)) % 1.33/1.53 (define @t2519 () (@var "BOUND_VARIABLE_10171" $$unsorted)) % 1.33/1.53 (define @t2520 () (not (_ @t143 @t2519))) % 1.33/1.53 (define @t2521 () (forall @t9 @t2159)) % 1.33/1.53 (define @t2522 () (not @t2521)) % 1.33/1.53 (define @t2523 () (@list @t143 @t2519)) % 1.33/1.53 (define @t2524 () (forall @t2523 (or @t2522 @t2520 (not (forall @t70 (or @t2168 (= @t19 @t2519))))))) % 1.33/1.53 (define @t2525 () (=> @t2524 @t2518)) % 1.33/1.53 (define @t2526 () (forall @t9 @t2422)) % 1.33/1.53 (define @t2527 () (=> @t2526 @t2525)) % 1.33/1.53 (define @t2528 () (=> @t2526 @t2527)) % 1.33/1.53 (define @t2529 () (=> @t2526 @t2528)) % 1.33/1.53 (define @t2530 () (not (tptp.in @t4 (tptp.prop2set false)))) % 1.33/1.53 (define @t2531 () (forall @t9 @t2530)) % 1.33/1.53 (define @t2532 () (=> @t2531 @t2529)) % 1.33/1.53 (define @t2533 () (not @t2510)) % 1.33/1.53 (define @t2534 () (forall @t159 (or @t2533 @t2158))) % 1.33/1.53 (define @t2535 () (=> @t2534 @t2532)) % 1.33/1.53 (define @t2536 () (forall @t159 (or @t2533 @t1794))) % 1.33/1.53 (define @t2537 () (=> @t2536 @t2535)) % 1.33/1.53 (define @t2538 () (forall @t159 (or @t1795 @t2159 @t2510))) % 1.33/1.53 (define @t2539 () (=> @t2538 @t2537)) % 1.33/1.53 (define @t2540 () (@var "BOUND_VARIABLE_10071" $$unsorted)) % 1.33/1.53 (define @t2541 () (not (_ @t143 @t2540))) % 1.33/1.53 (define @t2542 () (_ @t143 @t2380)) % 1.33/1.53 (define @t2543 () (@list @t143 @t2540)) % 1.33/1.53 (define @t2544 () (forall @t2543 (or @t2542 @t2541 (not (forall @t70 (or @t2168 (= @t19 @t2540))))))) % 1.33/1.53 (define @t2545 () (=> @t2544 @t2539)) % 1.33/1.53 (define @t2546 () (@var "BOUND_VARIABLE_9991" $$unsorted)) % 1.33/1.53 (define @t2547 () (tptp.in @t2546 @t95)) % 1.33/1.53 (define @t2548 () (not (tptp.in @t2546 @t93))) % 1.33/1.53 (define @t2549 () (tptp.in @t4 @t93)) % 1.33/1.53 (define @t2550 () (tptp.in @t93 @t1)) % 1.33/1.53 (define @t2551 () (not @t2550)) % 1.33/1.53 (define @t2552 () (or @t2551 @t2549 @t2548 @t2547)) % 1.33/1.53 (define @t2553 () (@list @t93 @t2546)) % 1.33/1.53 (define @t2554 () (forall @t2553 @t2552)) % 1.33/1.53 (define @t2555 () (not @t2554)) % 1.33/1.53 (define @t2556 () (tptp.in @t19 @t104)) % 1.33/1.53 (define @t2557 () (tptp.in @t19 @t95)) % 1.33/1.53 (define @t2558 () (forall @t70 (or (not @t2557) (not @t2556)))) % 1.33/1.53 (define @t2559 () (not @t2558)) % 1.33/1.53 (define @t2560 () (tptp.in @t4 @t104)) % 1.33/1.53 (define @t2561 () (not @t2560)) % 1.33/1.53 (define @t2562 () (tptp.in @t95 @t1)) % 1.33/1.53 (define @t2563 () (not @t2562)) % 1.33/1.53 (define @t2564 () (not (forall @t112 (or @t2563 @t2561 @t2559 @t2555)))) % 1.33/1.53 (define @t2565 () (@var "BOUND_VARIABLE_10020" $$unsorted)) % 1.33/1.53 (define @t2566 () (not (tptp.in @t2565 @t104))) % 1.33/1.53 (define @t2567 () (forall @t9 (or @t2561 @t1794))) % 1.33/1.53 (define @t2568 () (not @t2567)) % 1.33/1.53 (define @t2569 () (or @t2568 @t2566 @t2564)) % 1.33/1.53 (define @t2570 () (forall (@list @t104 @t2565) @t2569)) % 1.33/1.53 (define @t2571 () (not @t2570)) % 1.33/1.53 (define @t2572 () (@var "BOUND_VARIABLE_9943" $$unsorted)) % 1.33/1.53 (define @t2573 () (tptp.in @t2572 @t104)) % 1.33/1.53 (define @t2574 () (not (tptp.in @t2572 @t95))) % 1.33/1.53 (define @t2575 () (@var "BOUND_VARIABLE_9937" $$unsorted)) % 1.33/1.53 (define @t2576 () (tptp.in @t2575 @t95)) % 1.33/1.53 (define @t2577 () (not (tptp.in @t2575 @t104))) % 1.33/1.53 (define @t2578 () (tptp.in @t104 @t1)) % 1.33/1.53 (define @t2579 () (not @t2578)) % 1.33/1.53 (define @t2580 () (or @t2579 @t2563 @t2577 @t2576 @t2574 @t2573)) % 1.33/1.53 (define @t2581 () (@list @t104 @t95 @t2575 @t2572)) % 1.33/1.53 (define @t2582 () (forall @t2581 @t2580)) % 1.33/1.53 (define @t2583 () (not @t2582)) % 1.33/1.53 (define @t2584 () (forall @t118 (or @t2579 (= @t2560 @t2556)))) % 1.33/1.53 (define @t2585 () (not @t2584)) % 1.33/1.53 (define @t2586 () (forall @t135 (or @t1795 @t2170 @t2585 @t129))) % 1.33/1.53 (define @t2587 () (not @t2586)) % 1.33/1.53 (define @t2588 () (@var "BOUND_VARIABLE_9886" $$unsorted)) % 1.33/1.53 (define @t2589 () (tptp.in @t2588 @t2)) % 1.33/1.53 (define @t2590 () (not (tptp.in @t2588 @t104))) % 1.33/1.53 (define @t2591 () (or @t2579 @t2590 @t2589)) % 1.33/1.53 (define @t2592 () (@list @t104 @t2588)) % 1.33/1.53 (define @t2593 () (forall @t2592 @t2591)) % 1.33/1.53 (define @t2594 () (not @t2593)) % 1.33/1.53 (define @t2595 () (or @t2594 @t2587 @t2583 @t2571)) % 1.33/1.53 (define @t2596 () (forall @t64 (not (forall @t41 @t2595)))) % 1.33/1.53 (define @t2597 () (=> @t2596 @t2545)) % 1.33/1.53 (define @t2598 () (forall @t9 (or @t2263 @t1795))) % 1.33/1.53 (define @t2599 () (not @t2598)) % 1.33/1.53 (define @t2600 () (not (forall @t41 (or @t2467 @t2599)))) % 1.33/1.53 (define @t2601 () (@var "BOUND_VARIABLE_9861" $$unsorted)) % 1.33/1.53 (define @t2602 () (not (tptp.in @t2601 @t2))) % 1.33/1.53 (define @t2603 () (or @t2602 @t2600)) % 1.33/1.53 (define @t2604 () (forall (@list @t2 @t2601) @t2603)) % 1.33/1.53 (define @t2605 () (=> @t2604 @t2597)) % 1.33/1.53 (define @t2606 () (_ @t67 @t19 @t4)) % 1.33/1.53 (define @t2607 () (not (forall @t70 (or @t2170 (not @t2606))))) % 1.33/1.53 (define @t2608 () (forall @t9 (= @t2261 @t2607))) % 1.33/1.53 (define @t2609 () (not (forall @t41 (not @t2608)))) % 1.33/1.53 (define @t2610 () (@var "BOUND_VARIABLE_9751" $$unsorted)) % 1.33/1.53 (define @t2611 () (= @t19 @t2610)) % 1.33/1.53 (define @t2612 () (not @t2048)) % 1.33/1.53 (define @t2613 () (not (forall @t70 (or @t2612 @t2611)))) % 1.33/1.53 (define @t2614 () (_ @t67 @t4 @t2610)) % 1.33/1.53 (define @t2615 () (@list @t2610)) % 1.33/1.53 (define @t2616 () (not (forall @t2615 (or (not @t2614) @t2613)))) % 1.33/1.53 (define @t2617 () (forall @t9 (or @t1795 @t2616))) % 1.33/1.53 (define @t2618 () (forall @t81 (or (not @t2617) @t2609))) % 1.33/1.53 (define @t2619 () (=> @t2618 @t2605)) % 1.33/1.53 (define @t2620 () (@var "BOUND_VARIABLE_9732" $$unsorted)) % 1.33/1.53 (define @t2621 () (tptp.in @t2620 @t2)) % 1.33/1.53 (define @t2622 () (not (tptp.in @t2620 tptp.omega))) % 1.33/1.53 (define @t2623 () (tptp.setadjoin @t4 @t4)) % 1.33/1.53 (define @t2624 () (tptp.in @t2623 @t2)) % 1.33/1.53 (define @t2625 () (tptp.in @t4 tptp.omega)) % 1.33/1.53 (define @t2626 () (not @t2625)) % 1.33/1.53 (define @t2627 () (forall @t9 (or @t2626 @t1795 @t2624))) % 1.33/1.53 (define @t2628 () (not @t2627)) % 1.33/1.53 (define @t2629 () (tptp.in tptp.emptyset @t2)) % 1.33/1.53 (define @t2630 () (not @t2629)) % 1.33/1.53 (define @t2631 () (or @t2630 @t2628 @t2622 @t2621)) % 1.33/1.53 (define @t2632 () (@list @t2 @t2620)) % 1.33/1.53 (define @t2633 () (forall @t2632 @t2631)) % 1.33/1.53 (define @t2634 () (=> @t2633 @t2619)) % 1.33/1.53 (define @t2635 () (tptp.in @t2623 tptp.omega)) % 1.33/1.53 (define @t2636 () (forall @t9 (or @t2626 @t2635))) % 1.33/1.53 (define @t2637 () (=> @t2636 @t2634)) % 1.33/1.53 (define @t2638 () (tptp.in tptp.emptyset tptp.omega)) % 1.33/1.53 (define @t2639 () (=> @t50 @t2637)) % 1.33/1.53 (define @t2640 () (forall @t46 (= @t2469 @t2188))) % 1.33/1.53 (define @t2641 () (=> @t2640 @t2639)) % 1.33/1.53 (define @t2642 () (forall @t12 (= @t2480 @t2333))) % 1.33/1.53 (define @t2643 () (=> @t2642 @t2641)) % 1.33/1.53 (define @t2644 () (or @t129 @t2169)) % 1.33/1.53 (define @t2645 () (forall @t28 (= @t2489 @t2644))) % 1.33/1.53 (define @t2646 () (=> @t2645 @t2643)) % 1.33/1.53 (define @t2647 () (=> @t2526 @t2646)) % 1.33/1.53 (define @t2648 () (forall @t9 (= @t1794 @t2261))) % 1.33/1.53 (define @t2649 () (forall @t12 (or (not @t2648) @t3))) % 1.33/1.53 (define @t2650 () (=> @t2649 @t2647)) % 1.33/1.53 (define @t2651 () (=> @t1905 (=> true @t1902))) % 1.33/1.53 (define @t2652 () (=> @t1901 @t2651)) % 1.33/1.53 (define @t2653 () (=> true (=> true @t2652))) % 1.33/1.53 (define @t2654 () (=> @t1912 @t2653)) % 1.33/1.53 (define @t2655 () (=> @t1919 @t2654)) % 1.33/1.53 (define @t2656 () (=> @t1940 @t2655)) % 1.33/1.53 (define @t2657 () (=> @t1947 @t2656)) % 1.33/1.53 (define @t2658 () (=> @t1955 @t2657)) % 1.33/1.53 (define @t2659 () (=> @t1968 @t2658)) % 1.33/1.53 (define @t2660 () (=> @t1976 @t2659)) % 1.33/1.53 (define @t2661 () (=> @t1982 @t2660)) % 1.33/1.53 (define @t2662 () (=> @t1988 @t2661)) % 1.33/1.53 (define @t2663 () (=> @t2001 @t2662)) % 1.33/1.53 (define @t2664 () (=> @t2014 @t2663)) % 1.33/1.53 (define @t2665 () (=> @t2014 @t2664)) % 1.33/1.53 (define @t2666 () (=> @t2015 @t2665)) % 1.33/1.53 (define @t2667 () (=> @t2016 @t2666)) % 1.33/1.53 (define @t2668 () (=> @t2021 @t2667)) % 1.33/1.53 (define @t2669 () (=> @t2022 @t2668)) % 1.33/1.53 (define @t2670 () (=> @t2028 @t2669)) % 1.33/1.53 (define @t2671 () (=> @t2029 @t2670)) % 1.33/1.53 (define @t2672 () (=> @t2035 @t2671)) % 1.33/1.53 (define @t2673 () (=> @t2041 @t2672)) % 1.33/1.53 (define @t2674 () (=> @t2047 @t2673)) % 1.33/1.53 (define @t2675 () (=> @t2053 @t2674)) % 1.33/1.53 (define @t2676 () (=> @t2055 @t2675)) % 1.33/1.53 (define @t2677 () (=> @t2056 @t2676)) % 1.33/1.53 (define @t2678 () (=> @t2063 @t2677)) % 1.33/1.53 (define @t2679 () (=> @t2064 @t2678)) % 1.33/1.53 (define @t2680 () (=> @t2064 @t2679)) % 1.33/1.53 (define @t2681 () (=> @t2071 @t2680)) % 1.33/1.53 (define @t2682 () (=> @t2078 @t2681)) % 1.33/1.53 (define @t2683 () (=> @t2084 @t2682)) % 1.33/1.53 (define @t2684 () (=> @t2090 @t2683)) % 1.33/1.53 (define @t2685 () (=> @t2093 (=> true @t2684))) % 1.33/1.53 (define @t2686 () (=> @t2094 @t2685)) % 1.33/1.53 (define @t2687 () (=> @t2096 @t2686)) % 1.33/1.53 (define @t2688 () (=> @t2099 @t2687)) % 1.33/1.53 (define @t2689 () (=> @t2102 @t2688)) % 1.33/1.53 (define @t2690 () (=> @t2109 @t2689)) % 1.33/1.53 (define @t2691 () (=> @t2112 @t2690)) % 1.33/1.53 (define @t2692 () (=> @t2123 @t2691)) % 1.33/1.53 (define @t2693 () (=> @t2124 @t2692)) % 1.33/1.53 (define @t2694 () (=> @t2128 @t2693)) % 1.33/1.53 (define @t2695 () (=> @t2131 @t2694)) % 1.33/1.53 (define @t2696 () (=> @t2133 @t2695)) % 1.33/1.53 (define @t2697 () (=> @t2134 @t2696)) % 1.33/1.53 (define @t2698 () (=> @t2135 @t2697)) % 1.33/1.53 (define @t2699 () (=> @t2137 @t2698)) % 1.33/1.53 (define @t2700 () (=> @t2140 @t2699)) % 1.33/1.53 (define @t2701 () (=> @t2142 @t2700)) % 1.33/1.53 (define @t2702 () (=> @t2147 @t2701)) % 1.33/1.53 (define @t2703 () (=> @t2149 @t2702)) % 1.33/1.53 (define @t2704 () (=> @t2150 @t2703)) % 1.33/1.53 (define @t2705 () (=> @t2166 @t2704)) % 1.33/1.53 (define @t2706 () (=> @t2173 @t2705)) % 1.33/1.53 (define @t2707 () (=> @t2176 @t2706)) % 1.33/1.53 (define @t2708 () (=> @t2166 @t2707)) % 1.33/1.53 (define @t2709 () (=> @t2178 @t2708)) % 1.33/1.53 (define @t2710 () (=> @t2182 @t2709)) % 1.33/1.53 (define @t2711 () (=> @t2184 @t2710)) % 1.33/1.53 (define @t2712 () (=> @t2190 @t2711)) % 1.33/1.53 (define @t2713 () (=> @t2191 @t2712)) % 1.33/1.53 (define @t2714 () (=> @t2198 @t2713)) % 1.33/1.53 (define @t2715 () (=> @t2204 @t2714)) % 1.33/1.53 (define @t2716 () (=> @t2213 @t2715)) % 1.33/1.53 (define @t2717 () (=> @t2219 @t2716)) % 1.33/1.53 (define @t2718 () (=> @t2225 @t2717)) % 1.33/1.53 (define @t2719 () (=> @t2231 @t2718)) % 1.33/1.53 (define @t2720 () (=> @t2237 @t2719)) % 1.33/1.53 (define @t2721 () (=> @t2240 @t2720)) % 1.33/1.53 (define @t2722 () (=> @t2242 @t2721)) % 1.33/1.53 (define @t2723 () (=> @t2244 @t2722)) % 1.33/1.53 (define @t2724 () (=> @t2246 @t2723)) % 1.33/1.53 (define @t2725 () (=> @t2248 @t2724)) % 1.33/1.53 (define @t2726 () (=> @t2250 @t2725)) % 1.33/1.53 (define @t2727 () (=> @t2253 @t2726)) % 1.33/1.53 (define @t2728 () (=> @t2255 @t2727)) % 1.33/1.53 (define @t2729 () (=> @t2257 @t2728)) % 1.33/1.53 (define @t2730 () (=> @t2262 @t2729)) % 1.33/1.53 (define @t2731 () (=> @t2264 @t2730)) % 1.33/1.53 (define @t2732 () (=> @t2265 @t2731)) % 1.33/1.53 (define @t2733 () (=> @t2266 @t2732)) % 1.33/1.53 (define @t2734 () (=> @t2269 @t2733)) % 1.33/1.53 (define @t2735 () (=> @t2273 @t2734)) % 1.33/1.53 (define @t2736 () (=> @t2275 @t2735)) % 1.33/1.53 (define @t2737 () (=> @t2278 @t2736)) % 1.33/1.53 (define @t2738 () (=> @t2279 @t2737)) % 1.33/1.53 (define @t2739 () (=> @t2280 @t2738)) % 1.33/1.53 (define @t2740 () (=> @t2281 @t2739)) % 1.33/1.53 (define @t2741 () (=> @t2283 @t2740)) % 1.33/1.53 (define @t2742 () (=> @t2284 @t2741)) % 1.33/1.53 (define @t2743 () (=> @t2285 @t2742)) % 1.33/1.53 (define @t2744 () (=> @t2286 @t2743)) % 1.33/1.53 (define @t2745 () (=> @t2292 @t2744)) % 1.33/1.53 (define @t2746 () (=> @t2294 @t2745)) % 1.33/1.53 (define @t2747 () (=> @t2298 @t2746)) % 1.33/1.53 (define @t2748 () (=> @t2300 @t2747)) % 1.33/1.53 (define @t2749 () (=> @t2303 @t2748)) % 1.33/1.53 (define @t2750 () (=> @t2306 @t2749)) % 1.33/1.53 (define @t2751 () (=> @t2307 @t2750)) % 1.33/1.53 (define @t2752 () (=> @t2308 @t2751)) % 1.33/1.53 (define @t2753 () (=> @t2310 @t2752)) % 1.33/1.53 (define @t2754 () (=> @t2311 @t2753)) % 1.33/1.53 (define @t2755 () (=> @t2315 @t2754)) % 1.33/1.53 (define @t2756 () (=> @t2316 @t2755)) % 1.33/1.53 (define @t2757 () (=> @t2318 @t2756)) % 1.33/1.53 (define @t2758 () (=> @t2320 @t2757)) % 1.33/1.53 (define @t2759 () (=> @t2323 @t2758)) % 1.33/1.53 (define @t2760 () (=> @t2323 @t2759)) % 1.33/1.53 (define @t2761 () (=> @t2324 @t2760)) % 1.33/1.53 (define @t2762 () (=> @t2257 @t2761)) % 1.33/1.53 (define @t2763 () (=> @t2325 @t2762)) % 1.33/1.53 (define @t2764 () (=> @t2326 @t2763)) % 1.33/1.53 (define @t2765 () (=> @t2327 @t2764)) % 1.33/1.53 (define @t2766 () (=> @t2330 @t2765)) % 1.33/1.53 (define @t2767 () (=> @t2332 @t2766)) % 1.33/1.53 (define @t2768 () (=> @t2335 @t2767)) % 1.33/1.53 (define @t2769 () (=> @t2336 @t2768)) % 1.33/1.54 (define @t2770 () (=> @t2338 @t2769)) % 1.33/1.54 (define @t2771 () (=> @t2339 @t2770)) % 1.33/1.54 (define @t2772 () (=> @t2341 @t2771)) % 1.33/1.54 (define @t2773 () (=> @t2344 @t2772)) % 1.33/1.54 (define @t2774 () (=> @t2347 @t2773)) % 1.33/1.54 (define @t2775 () (=> @t2350 @t2774)) % 1.33/1.54 (define @t2776 () (=> @t2352 @t2775)) % 1.33/1.54 (define @t2777 () (=> @t2354 (=> true @t2776))) % 1.33/1.54 (define @t2778 () (=> @t2355 @t2777)) % 1.33/1.54 (define @t2779 () (=> @t2356 @t2778)) % 1.33/1.54 (define @t2780 () (=> @t2357 @t2779)) % 1.33/1.54 (define @t2781 () (=> @t2359 @t2780)) % 1.33/1.54 (define @t2782 () (=> @t2362 @t2781)) % 1.33/1.54 (define @t2783 () (=> @t2354 @t2782)) % 1.33/1.54 (define @t2784 () (=> @t2354 @t2783)) % 1.33/1.54 (define @t2785 () (=> @t2362 @t2784)) % 1.33/1.54 (define @t2786 () (=> @t2373 @t2785)) % 1.33/1.54 (define @t2787 () (=> @t2386 @t2786)) % 1.33/1.54 (define @t2788 () (=> @t2395 @t2787)) % 1.33/1.54 (define @t2789 () (=> true (=> true @t2788))) % 1.33/1.54 (define @t2790 () (=> true @t2789)) % 1.33/1.54 (define @t2791 () (=> true @t2790)) % 1.33/1.54 (define @t2792 () (=> true @t2791)) % 1.33/1.54 (define @t2793 () (=> @t2405 @t2792)) % 1.33/1.54 (define @t2794 () (=> @t2395 @t2793)) % 1.33/1.54 (define @t2795 () (=> true (=> true @t2794))) % 1.33/1.54 (define @t2796 () (=> @t2408 @t2795)) % 1.33/1.54 (define @t2797 () (=> @t2414 @t2796)) % 1.33/1.54 (define @t2798 () (=> true (=> true @t2797))) % 1.33/1.54 (define @t2799 () (=> true @t2798)) % 1.33/1.54 (define @t2800 () (=> @t2417 @t2799)) % 1.33/1.54 (define @t2801 () (=> @t2419 @t2800)) % 1.33/1.54 (define @t2802 () (=> true (=> true @t2801))) % 1.33/1.54 (define @t2803 () (=> true @t2802)) % 1.33/1.54 (define @t2804 () (=> true @t2803)) % 1.33/1.54 (define @t2805 () (=> @t2423 @t2804)) % 1.33/1.54 (define @t2806 () (=> @t2431 @t2805)) % 1.33/1.54 (define @t2807 () (=> @t2257 @t2806)) % 1.33/1.54 (define @t2808 () (=> @t2435 @t2807)) % 1.33/1.54 (define @t2809 () (=> @t2240 @t2808)) % 1.33/1.54 (define @t2810 () (=> @t2441 @t2809)) % 1.33/1.54 (define @t2811 () (=> @t2444 @t2810)) % 1.33/1.54 (define @t2812 () (=> @t2446 @t2811)) % 1.33/1.54 (define @t2813 () (=> @t2448 @t2812)) % 1.33/1.54 (define @t2814 () (=> @t2452 @t2813)) % 1.33/1.54 (define @t2815 () (=> @t2460 @t2814)) % 1.33/1.54 (define @t2816 () (=> @t2464 @t2815)) % 1.33/1.54 (define @t2817 () (=> @t2470 @t2816)) % 1.33/1.54 (define @t2818 () (=> @t2472 @t2817)) % 1.33/1.54 (define @t2819 () (=> @t2474 @t2818)) % 1.33/1.54 (define @t2820 () (=> @t2477 @t2819)) % 1.33/1.54 (define @t2821 () (=> @t2477 @t2820)) % 1.33/1.54 (define @t2822 () (=> @t2482 @t2821)) % 1.33/1.54 (define @t2823 () (=> @t2487 @t2822)) % 1.33/1.54 (define @t2824 () (=> @t2490 @t2823)) % 1.33/1.54 (define @t2825 () (=> @t2490 @t2824)) % 1.33/1.54 (define @t2826 () (=> @t2493 @t2825)) % 1.33/1.54 (define @t2827 () (=> @t221 @t2826)) % 1.33/1.54 (define @t2828 () (=> @t2500 @t2827)) % 1.33/1.54 (define @t2829 () (=> @t2505 @t2828)) % 1.33/1.54 (define @t2830 () (=> @t2507 @t2829)) % 1.33/1.54 (define @t2831 () (=> @t2452 @t2830)) % 1.33/1.54 (define @t2832 () (=> @t2511 @t2831)) % 1.33/1.54 (define @t2833 () (=> @t2513 @t2832)) % 1.33/1.54 (define @t2834 () (=> @t2513 @t2833)) % 1.33/1.54 (define @t2835 () (=> @t2517 @t2834)) % 1.33/1.54 (define @t2836 () (=> @t2524 @t2835)) % 1.33/1.54 (define @t2837 () (=> @t2526 @t2836)) % 1.33/1.54 (define @t2838 () (=> @t2526 @t2837)) % 1.33/1.54 (define @t2839 () (=> @t2526 @t2838)) % 1.33/1.54 (define @t2840 () (=> @t2531 @t2839)) % 1.33/1.54 (define @t2841 () (=> @t2534 (=> true @t2840))) % 1.33/1.54 (define @t2842 () (=> @t2536 @t2841)) % 1.33/1.54 (define @t2843 () (=> @t2538 @t2842)) % 1.33/1.54 (define @t2844 () (=> @t2544 @t2843)) % 1.33/1.54 (define @t2845 () (=> @t2596 @t2844)) % 1.33/1.54 (define @t2846 () (=> @t2604 @t2845)) % 1.33/1.54 (define @t2847 () (=> @t2618 @t2846)) % 1.33/1.54 (define @t2848 () (=> @t2633 @t2847)) % 1.33/1.54 (define @t2849 () (=> @t2636 @t2848)) % 1.33/1.54 (define @t2850 () (=> @t50 @t2849)) % 1.33/1.54 (define @t2851 () (=> @t2640 @t2850)) % 1.33/1.54 (define @t2852 () (=> @t2642 @t2851)) % 1.33/1.54 (define @t2853 () (=> @t2645 @t2852)) % 1.33/1.54 (define @t2854 () (=> @t2526 @t2853)) % 1.33/1.54 (define @t2855 () (=> @t2649 @t2854)) % 1.33/1.54 (define @t2856 () (or @t1647 @t1646 @t1645 @t1644 @t1642)) % 1.33/1.54 (define @t2857 () (or @t1636 @t2856)) % 1.33/1.54 (define @t2858 () (forall @t1649 @t2857)) % 1.33/1.54 (define @t2859 () (@list @t1643 @t1640 @t1641)) % 1.33/1.54 (define @t2860 () (forall @t2859 @t2857)) % 1.33/1.54 (define @t2861 () (forall @t2859 @t2856)) % 1.33/1.54 (define @t2862 () (@var "BOUND_VARIABLE_14801" $$unsorted)) % 1.33/1.54 (define @t2863 () (@var "BOUND_VARIABLE_14799" $$unsorted)) % 1.33/1.54 (define @t2864 () (or @t1636 @t2861)) % 1.33/1.54 (define @t2865 () (tptp.in @t2862 (tptp.binunion @t695 @t2863))) % 1.33/1.54 (define @t2866 () (tptp.binintersect @t695 @t1129)) % 1.33/1.54 (define @t2867 () (not (tptp.in @t2862 @t2866))) % 1.33/1.54 (define @t2868 () (not (tptp.in @t2862 @t2))) % 1.33/1.54 (define @t2869 () (not (tptp.in @t2863 @t1632))) % 1.33/1.54 (define @t2870 () (tptp.in @t1129 @t1632)) % 1.33/1.54 (define @t2871 () (not @t2870)) % 1.33/1.54 (define @t2872 () (or @t2871 @t2869 @t2868 @t2867 @t2865)) % 1.33/1.54 (define @t2873 () (@list @t1129 @t2863 @t2862)) % 1.33/1.54 (define @t2874 () (forall @t2873 @t2872)) % 1.33/1.54 (define @t2875 () (not @t1136)) % 1.33/1.54 (define @t2876 () (or @t2875 @t2874)) % 1.33/1.54 (define @t2877 () (or @t2869 @t2868 @t2867 @t2865)) % 1.33/1.54 (define @t2878 () (or @t2871 @t2877)) % 1.33/1.54 (define @t2879 () (forall @t2873 @t2878)) % 1.33/1.54 (define @t2880 () (@list @t2863 @t2862)) % 1.33/1.54 (define @t2881 () (forall @t2880 @t2878)) % 1.33/1.54 (define @t2882 () (forall @t2880 @t2877)) % 1.33/1.54 (define @t2883 () (@var "BOUND_VARIABLE_14780" $$unsorted)) % 1.33/1.54 (define @t2884 () (or @t2871 @t2882)) % 1.33/1.54 (define @t2885 () (tptp.binunion @t695 @t1338)) % 1.33/1.54 (define @t2886 () (tptp.in @t2883 @t2885)) % 1.33/1.54 (define @t2887 () (not (tptp.in @t2883 @t2866))) % 1.33/1.54 (define @t2888 () (not (tptp.in @t2883 @t2))) % 1.33/1.54 (define @t2889 () (tptp.in @t1338 @t1632)) % 1.33/1.54 (define @t2890 () (not @t2889)) % 1.33/1.54 (define @t2891 () (or @t2890 @t2888 @t2887 @t2886)) % 1.33/1.54 (define @t2892 () (@list @t1338 @t2883)) % 1.33/1.54 (define @t2893 () (forall @t2892 @t2891)) % 1.33/1.54 (define @t2894 () (not @t1133)) % 1.33/1.54 (define @t2895 () (or @t2894 @t2893)) % 1.33/1.54 (define @t2896 () (or @t2888 @t2887 @t2886)) % 1.33/1.54 (define @t2897 () (or @t2890 @t2896)) % 1.33/1.54 (define @t2898 () (forall @t2892 @t2897)) % 1.33/1.54 (define @t2899 () (@list @t2883)) % 1.33/1.54 (define @t2900 () (forall @t2899 @t2897)) % 1.33/1.54 (define @t2901 () (forall @t2899 @t2896)) % 1.33/1.54 (define @t2902 () (@list @t4)) % 1.33/1.54 (define @t2903 () (or @t2890 @t2901)) % 1.33/1.54 (define @t2904 () (tptp.in @t4 @t2885)) % 1.33/1.54 (define @t2905 () (tptp.in @t4 @t2866)) % 1.33/1.54 (define @t2906 () (not @t2905)) % 1.33/1.54 (define @t2907 () (forall @t9 (or @t1795 @t2906 @t2904))) % 1.33/1.54 (define @t2908 () (not @t1344)) % 1.33/1.54 (define @t2909 () (or @t2908 @t2907)) % 1.33/1.54 (define @t2910 () (or @t197 @t1213 @t1340)) % 1.33/1.54 (define @t2911 () (=> tptp.inIntersectImpInUnion @t1639)) % 1.33/1.54 (define @t2912 () (or @t1655 @t1654 @t1653 @t1652)) % 1.33/1.54 (define @t2913 () (or @t1636 @t2912)) % 1.33/1.54 (define @t2914 () (forall @t1657 @t2913)) % 1.33/1.54 (define @t2915 () (@list @t1650 @t1651)) % 1.33/1.54 (define @t2916 () (forall @t2915 @t2913)) % 1.33/1.54 (define @t2917 () (forall @t2915 @t2912)) % 1.33/1.54 (define @t2918 () (@var "BOUND_VARIABLE_14723" $$unsorted)) % 1.33/1.54 (define @t2919 () (or @t1636 @t2917)) % 1.33/1.54 (define @t2920 () (not (tptp.in @t2918 @t1129))) % 1.33/1.54 (define @t2921 () (tptp.binunion @t695 @t1129)) % 1.33/1.54 (define @t2922 () (tptp.in @t2918 @t2921)) % 1.33/1.54 (define @t2923 () (not (tptp.in @t2918 @t2))) % 1.33/1.54 (define @t2924 () (or @t2871 @t2923 @t2922 @t2920)) % 1.33/1.54 (define @t2925 () (@list @t1129 @t2918)) % 1.33/1.54 (define @t2926 () (forall @t2925 @t2924)) % 1.33/1.54 (define @t2927 () (or @t2875 @t2926)) % 1.33/1.54 (define @t2928 () (or @t2923 @t2922 @t2920)) % 1.33/1.54 (define @t2929 () (or @t2871 @t2928)) % 1.33/1.54 (define @t2930 () (forall @t2925 @t2929)) % 1.33/1.54 (define @t2931 () (@list @t2918)) % 1.33/1.54 (define @t2932 () (forall @t2931 @t2929)) % 1.33/1.54 (define @t2933 () (forall @t2931 @t2928)) % 1.33/1.54 (define @t2934 () (or @t2871 @t2933)) % 1.33/1.54 (define @t2935 () (tptp.in @t4 @t1129)) % 1.33/1.54 (define @t2936 () (not @t2935)) % 1.33/1.54 (define @t2937 () (tptp.in @t4 @t2921)) % 1.33/1.54 (define @t2938 () (forall @t9 (or @t1795 @t2937 @t2936))) % 1.33/1.54 (define @t2939 () (or @t2894 @t2938)) % 1.33/1.54 (define @t2940 () (or @t197 @t1322 @t1222)) % 1.33/1.54 (define @t2941 () (not @t1323)) % 1.33/1.54 (define @t2942 () (=> tptp.binunionTIRcontra @t2911)) % 1.33/1.54 (define @t2943 () (or @t1663 @t1662 @t1661 @t1659)) % 1.33/1.54 (define @t2944 () (or @t1636 @t2943)) % 1.33/1.54 (define @t2945 () (forall @t1665 @t2944)) % 1.33/1.54 (define @t2946 () (@list @t1660 @t1658)) % 1.33/1.54 (define @t2947 () (forall @t2946 @t2944)) % 1.33/1.54 (define @t2948 () (forall @t2946 @t2943)) % 1.33/1.54 (define @t2949 () (@var "BOUND_VARIABLE_14673" $$unsorted)) % 1.33/1.54 (define @t2950 () (or @t1636 @t2948)) % 1.33/1.54 (define @t2951 () (not (tptp.in @t2949 @t695))) % 1.33/1.54 (define @t2952 () (tptp.in @t2949 @t2921)) % 1.33/1.54 (define @t2953 () (not (tptp.in @t2949 @t2))) % 1.33/1.54 (define @t2954 () (or @t2871 @t2953 @t2952 @t2951)) % 1.33/1.54 (define @t2955 () (@list @t1129 @t2949)) % 1.33/1.54 (define @t2956 () (forall @t2955 @t2954)) % 1.33/1.54 (define @t2957 () (or @t2875 @t2956)) % 1.33/1.54 (define @t2958 () (or @t2953 @t2952 @t2951)) % 1.33/1.54 (define @t2959 () (or @t2871 @t2958)) % 1.33/1.54 (define @t2960 () (forall @t2955 @t2959)) % 1.33/1.54 (define @t2961 () (@list @t2949)) % 1.33/1.54 (define @t2962 () (forall @t2961 @t2959)) % 1.33/1.54 (define @t2963 () (forall @t2961 @t2958)) % 1.33/1.54 (define @t2964 () (or @t2871 @t2963)) % 1.33/1.54 (define @t2965 () (forall @t9 (or @t1795 @t2937 @t1793))) % 1.33/1.54 (define @t2966 () (or @t2894 @t2965)) % 1.33/1.54 (define @t2967 () (or @t197 @t1322 @t1214)) % 1.33/1.54 (define @t2968 () (=> tptp.binunionTILcontra @t2942)) % 1.33/1.54 (define @t2969 () (or @t1670 @t1669 @t1668)) % 1.33/1.54 (define @t2970 () (or @t1636 @t2969)) % 1.33/1.54 (define @t2971 () (forall @t1672 @t2970)) % 1.33/1.54 (define @t2972 () (@list @t1667)) % 1.33/1.54 (define @t2973 () (forall @t2972 @t2970)) % 1.33/1.54 (define @t2974 () (forall @t2972 @t2969)) % 1.33/1.54 (define @t2975 () (@list @t1129)) % 1.33/1.54 (define @t2976 () (or @t1636 @t2974)) % 1.33/1.54 (define @t2977 () (tptp.subset @t1129 @t1666)) % 1.33/1.54 (define @t2978 () (tptp.setminus @t2 @t1129)) % 1.33/1.54 (define @t2979 () (tptp.subset @t695 @t2978)) % 1.33/1.54 (define @t2980 () (not @t2979)) % 1.33/1.54 (define @t2981 () (forall @t1134 (or @t2871 @t2980 @t2977))) % 1.33/1.54 (define @t2982 () (or @t2875 @t2981)) % 1.33/1.54 (define @t2983 () (not @t1232)) % 1.33/1.54 (define @t2984 () (or @t2894 @t2983 @t1316)) % 1.33/1.54 (define @t2985 () (=> tptp.complementTcontraSubset @t2968)) % 1.33/1.54 (define @t2986 () (or @t1679 @t1678 @t1677 @t1676 @t1674)) % 1.33/1.54 (define @t2987 () (or @t1636 @t2986)) % 1.33/1.54 (define @t2988 () (forall @t1681 @t2987)) % 1.33/1.54 (define @t2989 () (@list @t1675 @t1673)) % 1.33/1.54 (define @t2990 () (forall @t2989 @t2987)) % 1.33/1.54 (define @t2991 () (forall @t2989 @t2986)) % 1.33/1.54 (define @t2992 () (@var "BOUND_VARIABLE_14590" $$unsorted)) % 1.33/1.54 (define @t2993 () (or @t1636 @t2991)) % 1.33/1.54 (define @t2994 () (tptp.in @t2992 @t1666)) % 1.33/1.54 (define @t2995 () (not (tptp.in @t2992 @t1129))) % 1.33/1.54 (define @t2996 () (not (tptp.in @t2992 @t2))) % 1.33/1.54 (define @t2997 () (or @t2871 @t2980 @t2996 @t2995 @t2994)) % 1.33/1.54 (define @t2998 () (@list @t1129 @t2992)) % 1.33/1.54 (define @t2999 () (forall @t2998 @t2997)) % 1.33/1.54 (define @t3000 () (or @t2875 @t2999)) % 1.33/1.54 (define @t3001 () (or @t2996 @t2995 @t2994)) % 1.33/1.54 (define @t3002 () (or @t2871 @t2980 @t3001)) % 1.33/1.54 (define @t3003 () (forall @t2998 @t3002)) % 1.33/1.54 (define @t3004 () (@list @t2992)) % 1.33/1.54 (define @t3005 () (forall @t3004 @t3002)) % 1.33/1.54 (define @t3006 () (forall @t3004 @t3001)) % 1.33/1.54 (define @t3007 () (or @t2871 @t2980 @t3006)) % 1.33/1.54 (define @t3008 () (tptp.in @t4 @t1666)) % 1.33/1.54 (define @t3009 () (forall @t9 (or @t1795 @t2936 @t3008))) % 1.33/1.54 (define @t3010 () (or @t2894 @t2983 @t3009)) % 1.33/1.54 (define @t3011 () (=> @t1232 @t3009)) % 1.33/1.54 (define @t3012 () (or @t197 @t1222 @t1200)) % 1.33/1.54 (define @t3013 () (=> tptp.contraSubsetComplement @t2985)) % 1.33/1.54 (define @t3014 () (or @t1684 @t1683)) % 1.33/1.54 (define @t3015 () (or @t1636 @t3014)) % 1.33/1.54 (define @t3016 () (forall @t1686 @t3015)) % 1.33/1.54 (define @t3017 () (@list @t1682)) % 1.33/1.54 (define @t3018 () (forall @t3017 @t3015)) % 1.33/1.54 (define @t3019 () (forall @t3017 @t3014)) % 1.33/1.54 (define @t3020 () (or @t1636 @t3019)) % 1.33/1.54 (define @t3021 () (tptp.setminus @t2 @t2866)) % 1.33/1.54 (define @t3022 () (tptp.powerset @t3021)) % 1.33/1.54 (define @t3023 () (tptp.in @t1666 @t3022)) % 1.33/1.54 (define @t3024 () (forall @t1134 (or @t2871 @t3023))) % 1.33/1.54 (define @t3025 () (or @t2875 @t3024)) % 1.33/1.54 (define @t3026 () (_ tptp.in @t1666)) % 1.33/1.54 (define @t3027 () (or @t2894 @t1302)) % 1.33/1.54 (define @t3028 () (=> tptp.complementInPowersetComplementIntersect @t3013)) % 1.33/1.54 (define @t3029 () (or @t1689 @t1688)) % 1.33/1.54 (define @t3030 () (or @t1636 @t3029)) % 1.33/1.54 (define @t3031 () (forall @t1691 @t3030)) % 1.33/1.54 (define @t3032 () (@list @t1687)) % 1.33/1.54 (define @t3033 () (forall @t3032 @t3030)) % 1.33/1.54 (define @t3034 () (forall @t3032 @t3029)) % 1.33/1.54 (define @t3035 () (or @t1636 @t3034)) % 1.33/1.54 (define @t3036 () (tptp.subset @t1666 @t3021)) % 1.33/1.54 (define @t3037 () (forall @t1134 (or @t2871 @t3036))) % 1.33/1.54 (define @t3038 () (or @t2875 @t3037)) % 1.33/1.54 (define @t3039 () (or @t2894 @t1296)) % 1.33/1.54 (define @t3040 () (=> tptp.complementSubsetComplementIntersect @t3028)) % 1.33/1.54 (define @t3041 () (or @t1697 @t1696 @t1695 @t1694)) % 1.33/1.54 (define @t3042 () (or @t1636 @t3041)) % 1.33/1.54 (define @t3043 () (forall @t1699 @t3042)) % 1.33/1.54 (define @t3044 () (@list @t1692 @t1693)) % 1.33/1.54 (define @t3045 () (forall @t3044 @t3042)) % 1.33/1.54 (define @t3046 () (forall @t3044 @t3041)) % 1.33/1.54 (define @t3047 () (@var "BOUND_VARIABLE_14479" $$unsorted)) % 1.33/1.54 (define @t3048 () (or @t1636 @t3046)) % 1.33/1.54 (define @t3049 () (tptp.in @t3047 @t3021)) % 1.33/1.54 (define @t3050 () (not (tptp.in @t3047 @t1666))) % 1.33/1.54 (define @t3051 () (not (tptp.in @t3047 @t2))) % 1.33/1.54 (define @t3052 () (or @t2871 @t3051 @t3050 @t3049)) % 1.33/1.54 (define @t3053 () (@list @t1129 @t3047)) % 1.33/1.54 (define @t3054 () (forall @t3053 @t3052)) % 1.33/1.54 (define @t3055 () (or @t2875 @t3054)) % 1.33/1.54 (define @t3056 () (or @t3051 @t3050 @t3049)) % 1.33/1.54 (define @t3057 () (or @t2871 @t3056)) % 1.33/1.54 (define @t3058 () (forall @t3053 @t3057)) % 1.33/1.54 (define @t3059 () (@list @t3047)) % 1.33/1.54 (define @t3060 () (forall @t3059 @t3057)) % 1.33/1.54 (define @t3061 () (forall @t3059 @t3056)) % 1.33/1.54 (define @t3062 () (or @t2871 @t3061)) % 1.33/1.54 (define @t3063 () (tptp.in @t4 @t3021)) % 1.33/1.54 (define @t3064 () (not @t3008)) % 1.33/1.54 (define @t3065 () (forall @t9 (or @t1795 @t3064 @t3063))) % 1.33/1.54 (define @t3066 () (or @t2894 @t3065)) % 1.33/1.54 (define @t3067 () (or @t197 @t1201 @t1288)) % 1.33/1.54 (define @t3068 () (=> tptp.complementImpComplementIntersect @t3040)) % 1.33/1.54 (define @t3069 () (or @t1705 @t1704 @t1703 @t1702)) % 1.33/1.54 (define @t3070 () (or @t1636 @t3069)) % 1.33/1.54 (define @t3071 () (forall @t1707 @t3070)) % 1.33/1.54 (define @t3072 () (@list @t1700 @t1701)) % 1.33/1.54 (define @t3073 () (forall @t3072 @t3070)) % 1.33/1.54 (define @t3074 () (forall @t3072 @t3069)) % 1.33/1.54 (define @t3075 () (@var "BOUND_VARIABLE_14423" $$unsorted)) % 1.33/1.54 (define @t3076 () (or @t1636 @t3074)) % 1.33/1.54 (define @t3077 () (not (tptp.in @t3075 @t2866))) % 1.33/1.54 (define @t3078 () (not (tptp.in @t3075 @t1666))) % 1.33/1.54 (define @t3079 () (not (tptp.in @t3075 @t2))) % 1.33/1.54 (define @t3080 () (or @t2871 @t3079 @t3078 @t3077)) % 1.33/1.54 (define @t3081 () (@list @t1129 @t3075)) % 1.33/1.54 (define @t3082 () (forall @t3081 @t3080)) % 1.33/1.54 (define @t3083 () (or @t2875 @t3082)) % 1.33/1.54 (define @t3084 () (or @t3079 @t3078 @t3077)) % 1.33/1.54 (define @t3085 () (or @t2871 @t3084)) % 1.33/1.54 (define @t3086 () (forall @t3081 @t3085)) % 1.33/1.54 (define @t3087 () (@list @t3075)) % 1.33/1.54 (define @t3088 () (forall @t3087 @t3085)) % 1.33/1.54 (define @t3089 () (forall @t3087 @t3084)) % 1.33/1.54 (define @t3090 () (or @t2871 @t3089)) % 1.33/1.54 (define @t3091 () (forall @t9 (or @t1795 @t3064 @t2906))) % 1.33/1.54 (define @t3092 () (or @t2894 @t3091)) % 1.33/1.54 (define @t3093 () (or @t197 @t1201 @t1213)) % 1.33/1.54 (define @t3094 () (=> tptp.complementTnotintersectT @t3068)) % 1.33/1.54 (define @t3095 () (or @t2875 @t1277)) % 1.33/1.54 (define @t3096 () (=> tptp.doubleComplementEq @t3094)) % 1.33/1.54 (define @t3097 () (or @t2875 @t1274)) % 1.33/1.54 (define @t3098 () (=> tptp.doubleComplementSub2 @t3096)) % 1.33/1.54 (define @t3099 () (or @t2875 @t1271)) % 1.33/1.54 (define @t3100 () (=> tptp.doubleComplementSub1 @t3098)) % 1.33/1.54 (define @t3101 () (or @t1714 @t1713 @t1712)) % 1.33/1.54 (define @t3102 () (or @t1636 @t3101)) % 1.33/1.54 (define @t3103 () (forall @t1716 @t3102)) % 1.33/1.54 (define @t3104 () (@list @t1711)) % 1.33/1.54 (define @t3105 () (forall @t3104 @t3102)) % 1.33/1.54 (define @t3106 () (forall @t3104 @t3101)) % 1.33/1.54 (define @t3107 () (or @t1636 @t3106)) % 1.33/1.54 (define @t3108 () (tptp.in @t4 @t1708)) % 1.33/1.54 (define @t3109 () (forall @t9 (or @t1795 (not @t3108) @t1792))) % 1.33/1.54 (define @t3110 () (or @t2875 @t3109)) % 1.33/1.54 (define @t3111 () (not @t1260)) % 1.33/1.54 (define @t3112 () (or @t197 @t3111 @t696)) % 1.33/1.54 (define @t3113 () (=> tptp.doubleComplementE1 @t3100)) % 1.33/1.54 (define @t3114 () (or @t1720 @t1719 @t1718)) % 1.33/1.54 (define @t3115 () (or @t1636 @t3114)) % 1.33/1.54 (define @t3116 () (forall @t1722 @t3115)) % 1.33/1.54 (define @t3117 () (@list @t1717)) % 1.33/1.54 (define @t3118 () (forall @t3117 @t3115)) % 1.33/1.54 (define @t3119 () (forall @t3117 @t3114)) % 1.33/1.54 (define @t3120 () (or @t1636 @t3119)) % 1.33/1.54 (define @t3121 () (forall @t9 (or @t1795 @t1793 @t3108))) % 1.33/1.54 (define @t3122 () (or @t2875 @t3121)) % 1.33/1.54 (define @t3123 () (or @t197 @t1214 @t1260)) % 1.33/1.54 (define @t3124 () (=> tptp.doubleComplementI1 @t3113)) % 1.33/1.54 (define @t3125 () (or @t1726 @t1725 @t1724)) % 1.33/1.54 (define @t3126 () (or @t1636 @t3125)) % 1.33/1.54 (define @t3127 () (forall @t1728 @t3126)) % 1.33/1.54 (define @t3128 () (@list @t1723)) % 1.33/1.54 (define @t3129 () (forall @t3128 @t3126)) % 1.33/1.54 (define @t3130 () (forall @t3128 @t3125)) % 1.33/1.54 (define @t3131 () (or @t1636 @t3130)) % 1.33/1.54 (define @t3132 () (tptp.subset @t695 @t1129)) % 1.33/1.54 (define @t3133 () (tptp.subset @t2978 @t1666)) % 1.33/1.54 (define @t3134 () (forall @t1134 (or @t2871 (not @t3133) @t3132))) % 1.33/1.54 (define @t3135 () (or @t2875 @t3134)) % 1.33/1.54 (define @t3136 () (not @t1248)) % 1.33/1.54 (define @t3137 () (or @t2894 @t3136 @t1178)) % 1.33/1.54 (define @t3138 () (=> tptp.contrasubsetT3 @t3124)) % 1.33/1.54 (define @t3139 () (or @t1732 @t1731 @t1730)) % 1.33/1.54 (define @t3140 () (or @t1636 @t3139)) % 1.33/1.54 (define @t3141 () (forall @t1734 @t3140)) % 1.33/1.54 (define @t3142 () (@list @t1729)) % 1.33/1.54 (define @t3143 () (forall @t3142 @t3140)) % 1.33/1.54 (define @t3144 () (forall @t3142 @t3139)) % 1.33/1.54 (define @t3145 () (or @t1636 @t3144)) % 1.33/1.54 (define @t3146 () (not @t3132)) % 1.33/1.54 (define @t3147 () (forall @t1134 (or @t2871 @t3146 @t3133))) % 1.33/1.54 (define @t3148 () (or @t2875 @t3147)) % 1.33/1.54 (define @t3149 () (not @t1178)) % 1.33/1.54 (define @t3150 () (or @t2894 @t3149 @t1248)) % 1.33/1.54 (define @t3151 () (=> tptp.contrasubsetT2 @t3138)) % 1.33/1.54 (define @t3152 () (or @t1741 @t1740 @t1739 @t1738 @t1736)) % 1.33/1.54 (define @t3153 () (or @t1636 @t3152)) % 1.33/1.54 (define @t3154 () (forall @t1743 @t3153)) % 1.33/1.54 (define @t3155 () (@list @t1737 @t1735)) % 1.33/1.54 (define @t3156 () (forall @t3155 @t3153)) % 1.33/1.54 (define @t3157 () (forall @t3155 @t3152)) % 1.33/1.54 (define @t3158 () (@var "BOUND_VARIABLE_14231" $$unsorted)) % 1.33/1.54 (define @t3159 () (or @t1636 @t3157)) % 1.33/1.54 (define @t3160 () (not (tptp.in @t3158 @t695))) % 1.33/1.54 (define @t3161 () (tptp.in @t3158 @t1129)) % 1.33/1.54 (define @t3162 () (not (tptp.in @t3158 @t2))) % 1.33/1.54 (define @t3163 () (or @t2871 @t3146 @t3162 @t3161 @t3160)) % 1.33/1.54 (define @t3164 () (@list @t1129 @t3158)) % 1.33/1.54 (define @t3165 () (forall @t3164 @t3163)) % 1.33/1.54 (define @t3166 () (or @t2875 @t3165)) % 1.33/1.54 (define @t3167 () (or @t3162 @t3161 @t3160)) % 1.33/1.54 (define @t3168 () (or @t2871 @t3146 @t3167)) % 1.33/1.54 (define @t3169 () (forall @t3164 @t3168)) % 1.33/1.54 (define @t3170 () (@list @t3158)) % 1.33/1.54 (define @t3171 () (forall @t3170 @t3168)) % 1.33/1.54 (define @t3172 () (forall @t3170 @t3167)) % 1.33/1.54 (define @t3173 () (or @t2871 @t3146 @t3172)) % 1.33/1.54 (define @t3174 () (forall @t9 (or @t1795 @t2935 @t1793))) % 1.33/1.54 (define @t3175 () (or @t2894 @t3149 @t3174)) % 1.33/1.54 (define @t3176 () (or @t3149 @t3174)) % 1.33/1.54 (define @t3177 () (or @t197 @t1165 @t1214)) % 1.33/1.54 (define @t3178 () (forall @t9 @t3177)) % 1.33/1.54 (define @t3179 () (or @t3149 @t3178)) % 1.33/1.54 (define @t3180 () (or @t3149 @t3177)) % 1.33/1.54 (define @t3181 () (or @t197 @t3149 @t1165 @t1214)) % 1.33/1.54 (define @t3182 () (or @t3149 @t1165 @t1214)) % 1.33/1.54 (define @t3183 () (not @t1222)) % 1.33/1.54 (define @t3184 () (=> tptp.contrasubsetT1 @t3151)) % 1.33/1.54 (define @t3185 () (or @t1750 @t1749 @t1748 @t1747 @t1745)) % 1.33/1.54 (define @t3186 () (or @t1636 @t3185)) % 1.33/1.54 (define @t3187 () (forall @t1752 @t3186)) % 1.33/1.54 (define @t3188 () (@list @t1746 @t1744)) % 1.33/1.54 (define @t3189 () (forall @t3188 @t3186)) % 1.33/1.54 (define @t3190 () (forall @t3188 @t3185)) % 1.33/1.54 (define @t3191 () (@var "BOUND_VARIABLE_14170" $$unsorted)) % 1.33/1.54 (define @t3192 () (or @t1636 @t3190)) % 1.33/1.54 (define @t3193 () (not (tptp.in @t3191 @t695))) % 1.33/1.54 (define @t3194 () (not (tptp.in @t3191 @t1129))) % 1.33/1.54 (define @t3195 () (not (tptp.in @t3191 @t2))) % 1.33/1.54 (define @t3196 () (or @t2871 @t2980 @t3195 @t3194 @t3193)) % 1.33/1.54 (define @t3197 () (@list @t1129 @t3191)) % 1.33/1.54 (define @t3198 () (forall @t3197 @t3196)) % 1.33/1.54 (define @t3199 () (or @t2875 @t3198)) % 1.33/1.54 (define @t3200 () (or @t3195 @t3194 @t3193)) % 1.33/1.54 (define @t3201 () (or @t2871 @t2980 @t3200)) % 1.33/1.54 (define @t3202 () (forall @t3197 @t3201)) % 1.33/1.54 (define @t3203 () (@list @t3191)) % 1.33/1.54 (define @t3204 () (forall @t3203 @t3201)) % 1.33/1.54 (define @t3205 () (forall @t3203 @t3200)) % 1.33/1.54 (define @t3206 () (or @t2871 @t2980 @t3205)) % 1.33/1.54 (define @t3207 () (forall @t9 (or @t1795 @t2936 @t1793))) % 1.33/1.54 (define @t3208 () (or @t2894 @t2983 @t3207)) % 1.33/1.54 (define @t3209 () (or @t2983 @t3207)) % 1.33/1.54 (define @t3210 () (or @t197 @t1222 @t1214)) % 1.33/1.54 (define @t3211 () (forall @t9 @t3210)) % 1.33/1.54 (define @t3212 () (or @t2983 @t3211)) % 1.33/1.54 (define @t3213 () (or @t2983 @t3210)) % 1.33/1.54 (define @t3214 () (or @t197 @t2983 @t1222 @t1214)) % 1.33/1.54 (define @t3215 () (or @t2983 @t1222 @t1214)) % 1.33/1.54 (define @t3216 () (=> tptp.contrasubsetT @t3184)) % 1.33/1.54 (define @t3217 () (or @t1758 @t1757 @t1756 @t1755)) % 1.33/1.54 (define @t3218 () (or @t1636 @t3217)) % 1.33/1.54 (define @t3219 () (forall @t1760 @t3218)) % 1.33/1.54 (define @t3220 () (@list @t1753 @t1754)) % 1.33/1.54 (define @t3221 () (forall @t3220 @t3218)) % 1.33/1.54 (define @t3222 () (forall @t3220 @t3217)) % 1.33/1.54 (define @t3223 () (@var "BOUND_VARIABLE_14110" $$unsorted)) % 1.33/1.54 (define @t3224 () (or @t1636 @t3222)) % 1.33/1.54 (define @t3225 () (not (tptp.in @t3223 @t2866))) % 1.33/1.54 (define @t3226 () (tptp.in @t3223 @t1129)) % 1.33/1.54 (define @t3227 () (not (tptp.in @t3223 @t2))) % 1.33/1.54 (define @t3228 () (or @t2871 @t3227 @t3226 @t3225)) % 1.33/1.54 (define @t3229 () (@list @t1129 @t3223)) % 1.33/1.54 (define @t3230 () (forall @t3229 @t3228)) % 1.33/1.54 (define @t3231 () (or @t2875 @t3230)) % 1.33/1.54 (define @t3232 () (or @t3227 @t3226 @t3225)) % 1.33/1.54 (define @t3233 () (or @t2871 @t3232)) % 1.33/1.54 (define @t3234 () (forall @t3229 @t3233)) % 1.33/1.54 (define @t3235 () (@list @t3223)) % 1.33/1.54 (define @t3236 () (forall @t3235 @t3233)) % 1.33/1.54 (define @t3237 () (forall @t3235 @t3232)) % 1.33/1.54 (define @t3238 () (or @t2871 @t3237)) % 1.33/1.54 (define @t3239 () (forall @t9 (or @t1795 @t2935 @t2906))) % 1.33/1.54 (define @t3240 () (or @t2894 @t3239)) % 1.33/1.54 (define @t3241 () (or @t197 @t1165 @t1213)) % 1.33/1.54 (define @t3242 () (=> tptp.binintersectTERcontra @t3216)) % 1.33/1.54 (define @t3243 () (or @t1766 @t1765 @t1764 @t1763)) % 1.33/1.54 (define @t3244 () (or @t1636 @t3243)) % 1.33/1.54 (define @t3245 () (forall @t1768 @t3244)) % 1.33/1.54 (define @t3246 () (@list @t1761 @t1762)) % 1.33/1.54 (define @t3247 () (forall @t3246 @t3244)) % 1.33/1.54 (define @t3248 () (forall @t3246 @t3243)) % 1.33/1.54 (define @t3249 () (@var "BOUND_VARIABLE_14060" $$unsorted)) % 1.33/1.54 (define @t3250 () (or @t1636 @t3248)) % 1.33/1.54 (define @t3251 () (not (tptp.in @t3249 @t2866))) % 1.33/1.54 (define @t3252 () (tptp.in @t3249 @t695)) % 1.33/1.54 (define @t3253 () (not (tptp.in @t3249 @t2))) % 1.33/1.54 (define @t3254 () (or @t2871 @t3253 @t3252 @t3251)) % 1.33/1.54 (define @t3255 () (@list @t1129 @t3249)) % 1.33/1.54 (define @t3256 () (forall @t3255 @t3254)) % 1.33/1.54 (define @t3257 () (or @t2875 @t3256)) % 1.33/1.54 (define @t3258 () (or @t3253 @t3252 @t3251)) % 1.33/1.54 (define @t3259 () (or @t2871 @t3258)) % 1.33/1.54 (define @t3260 () (forall @t3255 @t3259)) % 1.33/1.54 (define @t3261 () (@list @t3249)) % 1.33/1.54 (define @t3262 () (forall @t3261 @t3259)) % 1.33/1.54 (define @t3263 () (forall @t3261 @t3258)) % 1.33/1.54 (define @t3264 () (or @t2871 @t3263)) % 1.33/1.54 (define @t3265 () (forall @t9 (or @t1795 @t1792 @t2906))) % 1.33/1.54 (define @t3266 () (or @t2894 @t3265)) % 1.33/1.54 (define @t3267 () (or @t197 @t696 @t1213)) % 1.33/1.54 (define @t3268 () (=> tptp.binintersectTELcontra @t3242)) % 1.33/1.54 (define @t3269 () (or @t1772 @t1771 @t1770)) % 1.33/1.54 (define @t3270 () (or @t1636 @t3269)) % 1.33/1.54 (define @t3271 () (forall @t1774 @t3270)) % 1.33/1.54 (define @t3272 () (@list @t1769)) % 1.33/1.54 (define @t3273 () (forall @t3272 @t3270)) % 1.33/1.54 (define @t3274 () (forall @t3272 @t3269)) % 1.33/1.54 (define @t3275 () (or @t1636 @t3274)) % 1.33/1.54 (define @t3276 () (forall @t9 (or @t1795 @t3008 @t1792))) % 1.33/1.54 (define @t3277 () (or @t2875 @t3276)) % 1.33/1.54 (define @t3278 () (or @t197 @t1200 @t696)) % 1.33/1.54 (define @t3279 () (=> tptp.complementTE1 @t3268)) % 1.33/1.54 (define @t3280 () (or @t1778 @t1777 @t1776)) % 1.33/1.54 (define @t3281 () (or @t1636 @t3280)) % 1.33/1.54 (define @t3282 () (forall @t1780 @t3281)) % 1.33/1.54 (define @t3283 () (@list @t1775)) % 1.33/1.54 (define @t3284 () (forall @t3283 @t3281)) % 1.33/1.54 (define @t3285 () (forall @t3283 @t3280)) % 1.33/1.54 (define @t3286 () (or @t1636 @t3285)) % 1.33/1.54 (define @t3287 () (forall @t9 (or @t1795 @t1793 @t3064))) % 1.33/1.54 (define @t3288 () (or @t2875 @t3287)) % 1.33/1.54 (define @t3289 () (or @t197 @t1214 @t1201)) % 1.33/1.54 (define @t3290 () (=> tptp.complementTI1 @t3279)) % 1.33/1.54 (define @t3291 () (or @t1787 @t1786 @t1785 @t1784 @t1783)) % 1.33/1.54 (define @t3292 () (or @t1636 @t3291)) % 1.33/1.54 (define @t3293 () (forall @t1789 @t3292)) % 1.33/1.54 (define @t3294 () (@list @t1781 @t1782)) % 1.33/1.54 (define @t3295 () (forall @t3294 @t3292)) % 1.33/1.54 (define @t3296 () (forall @t3294 @t3291)) % 1.33/1.54 (define @t3297 () (@var "BOUND_VARIABLE_13950" $$unsorted)) % 1.33/1.54 (define @t3298 () (or @t1636 @t3296)) % 1.33/1.54 (define @t3299 () (tptp.in @t3297 @t1129)) % 1.33/1.54 (define @t3300 () (not (tptp.in @t3297 @t695))) % 1.33/1.54 (define @t3301 () (not (tptp.in @t3297 @t2))) % 1.33/1.54 (define @t3302 () (tptp.powerset @t1129)) % 1.33/1.54 (define @t3303 () (tptp.in @t695 @t3302)) % 1.33/1.54 (define @t3304 () (not @t3303)) % 1.33/1.54 (define @t3305 () (or @t2871 @t3304 @t3301 @t3300 @t3299)) % 1.33/1.54 (define @t3306 () (@list @t1129 @t3297)) % 1.33/1.54 (define @t3307 () (forall @t3306 @t3305)) % 1.33/1.54 (define @t3308 () (or @t2875 @t3307)) % 1.33/1.54 (define @t3309 () (or @t3301 @t3300 @t3299)) % 1.33/1.54 (define @t3310 () (or @t2871 @t3304 @t3309)) % 1.33/1.54 (define @t3311 () (forall @t3306 @t3310)) % 1.33/1.54 (define @t3312 () (@list @t3297)) % 1.33/1.54 (define @t3313 () (forall @t3312 @t3310)) % 1.33/1.54 (define @t3314 () (forall @t3312 @t3309)) % 1.33/1.54 (define @t3315 () (or @t2871 @t3304 @t3314)) % 1.33/1.54 (define @t3316 () (forall @t9 (or @t1795 @t1793 @t2935))) % 1.33/1.54 (define @t3317 () (not @t1186)) % 1.33/1.54 (define @t3318 () (or @t2894 @t3317 @t3316)) % 1.33/1.54 (define @t3319 () (or @t3317 @t3316)) % 1.33/1.54 (define @t3320 () (or @t197 @t1214 @t1165)) % 1.33/1.54 (define @t3321 () (forall @t9 @t3320)) % 1.33/1.54 (define @t3322 () (or @t3317 @t3321)) % 1.33/1.54 (define @t3323 () (or @t3317 @t3320)) % 1.33/1.54 (define @t3324 () (or @t197 @t3317 @t1214 @t1165)) % 1.33/1.54 (define @t3325 () (or @t3317 @t1214 @t1165)) % 1.33/1.54 (define @t3326 () (or @t1214 @t1165)) % 1.33/1.54 (define @t3327 () (=> tptp.powersetTE1 @t3290)) % 1.33/1.54 (define @t3328 () (or @t1797 @t1796 @t1791)) % 1.33/1.54 (define @t3329 () (or @t1636 @t3328)) % 1.33/1.54 (define @t3330 () (forall @t1799 @t3329)) % 1.33/1.54 (define @t3331 () (@list @t1790)) % 1.33/1.54 (define @t3332 () (forall @t3331 @t3329)) % 1.33/1.54 (define @t3333 () (forall @t3331 @t3328)) % 1.33/1.54 (define @t3334 () (or @t1636 @t3333)) % 1.33/1.54 (define @t3335 () (not @t3316)) % 1.33/1.54 (define @t3336 () (forall @t1134 (or @t2871 @t3335 @t3303))) % 1.33/1.54 (define @t3337 () (or @t2875 @t3336)) % 1.33/1.54 (define @t3338 () (or @t2894 @t3335 @t1186)) % 1.33/1.54 (define @t3339 () (=> @t3316 @t1186)) % 1.33/1.54 (define @t3340 () (=> tptp.powersetTI1 @t3327)) % 1.33/1.54 (define @t3341 () (or @t1803 @t1802 @t1801)) % 1.33/1.54 (define @t3342 () (or @t1636 @t3341)) % 1.33/1.54 (define @t3343 () (forall @t1805 @t3342)) % 1.33/1.54 (define @t3344 () (@list @t1800)) % 1.33/1.54 (define @t3345 () (forall @t3344 @t3342)) % 1.33/1.54 (define @t3346 () (forall @t3344 @t3341)) % 1.33/1.54 (define @t3347 () (or @t1636 @t3346)) % 1.33/1.54 (define @t3348 () (forall @t1134 (or @t2871 @t3335 @t3132))) % 1.33/1.54 (define @t3349 () (or @t2875 @t3348)) % 1.33/1.54 (define @t3350 () (or @t2894 @t3335 @t1178)) % 1.33/1.54 (define @t3351 () (=> @t3316 @t1178)) % 1.33/1.54 (define @t3352 () (=> tptp.subsetTI @t3340)) % 1.33/1.54 (define @t3353 () (or @t1811 @t1810 @t1809 @t1807)) % 1.33/1.54 (define @t3354 () (or @t1636 @t3353)) % 1.33/1.54 (define @t3355 () (forall @t1813 @t3354)) % 1.33/1.54 (define @t3356 () (@list @t1806)) % 1.33/1.54 (define @t3357 () (forall @t3356 @t3354)) % 1.33/1.54 (define @t3358 () (forall @t3356 @t3353)) % 1.33/1.54 (define @t3359 () (or @t1636 @t3358)) % 1.33/1.54 (define @t3360 () (forall @t9 (or @t1795 @t2936 @t1792))) % 1.33/1.54 (define @t3361 () (not @t3360)) % 1.33/1.54 (define @t3362 () (forall @t1134 (or @t2871 @t3335 @t3361 @t1164))) % 1.33/1.54 (define @t3363 () (or @t2875 @t3362)) % 1.33/1.54 (define @t3364 () (or @t2894 @t3335 @t3361 @t1164)) % 1.33/1.54 (define @t3365 () (or @t3335 @t3361 @t1164)) % 1.33/1.54 (define @t3366 () (=> @t3360 @t1164)) % 1.33/1.54 (define @t3367 () (=> @t3316 @t3366)) % 1.33/1.54 (define @t3368 () (or @t197 @t1222 @t696)) % 1.33/1.54 (define @t3369 () (=> tptp.setextT @t3352)) % 1.33/1.54 (define @t3370 () (or @t2875 @t1161)) % 1.33/1.54 (define @t3371 () (=> tptp.complementT_lem @t3369)) % 1.33/1.54 (define @t3372 () (or @t1817 @t1816)) % 1.33/1.54 (define @t3373 () (or @t1636 @t3372)) % 1.33/1.54 (define @t3374 () (forall @t1819 @t3373)) % 1.33/1.54 (define @t3375 () (@list @t1815)) % 1.33/1.54 (define @t3376 () (forall @t3375 @t3373)) % 1.33/1.54 (define @t3377 () (forall @t3375 @t3372)) % 1.33/1.54 (define @t3378 () (or @t1636 @t3377)) % 1.33/1.54 (define @t3379 () (tptp.setminus @t695 @t1129)) % 1.33/1.54 (define @t3380 () (tptp.in @t3379 @t1632)) % 1.33/1.54 (define @t3381 () (forall @t1134 (or @t2871 @t3380))) % 1.33/1.54 (define @t3382 () (or @t2875 @t3381)) % 1.33/1.54 (define @t3383 () (or @t2894 @t1154)) % 1.33/1.54 (define @t3384 () (=> tptp.setminusT_lem @t3371)) % 1.33/1.54 (define @t3385 () (or @t2875 @t1150)) % 1.33/1.54 (define @t3386 () (=> tptp.powersetT_lem @t3384)) % 1.33/1.54 (define @t3387 () (or @t1825 @t1824)) % 1.33/1.54 (define @t3388 () (or @t1636 @t3387)) % 1.33/1.54 (define @t3389 () (forall @t1827 @t3388)) % 1.33/1.54 (define @t3390 () (@list @t1823)) % 1.33/1.54 (define @t3391 () (forall @t3390 @t3388)) % 1.33/1.54 (define @t3392 () (forall @t3390 @t3387)) % 1.33/1.54 (define @t3393 () (or @t1636 @t3392)) % 1.33/1.54 (define @t3394 () (tptp.in @t2921 @t1632)) % 1.33/1.54 (define @t3395 () (forall @t1134 (or @t2871 @t3394))) % 1.33/1.54 (define @t3396 () (or @t2875 @t3395)) % 1.33/1.54 (define @t3397 () (or @t2894 @t1143)) % 1.33/1.54 (define @t3398 () (=> tptp.binunionT_lem @t3386)) % 1.33/1.54 (define @t3399 () (or @t1830 @t1829)) % 1.33/1.54 (define @t3400 () (or @t1636 @t3399)) % 1.33/1.54 (define @t3401 () (forall @t1832 @t3400)) % 1.33/1.54 (define @t3402 () (@list @t1828)) % 1.33/1.54 (define @t3403 () (forall @t3402 @t3400)) % 1.33/1.54 (define @t3404 () (forall @t3402 @t3399)) % 1.33/1.54 (define @t3405 () (or @t1636 @t3404)) % 1.33/1.54 (define @t3406 () (tptp.in @t2866 @t1632)) % 1.33/1.54 (define @t3407 () (forall @t1134 (or @t2871 @t3406))) % 1.33/1.54 (define @t3408 () (or @t2875 @t3407)) % 1.33/1.54 (define @t3409 () (or @t2894 @t1131)) % 1.33/1.54 (define @t3410 () (=> tptp.binintersectT_lem @t3398)) % 1.33/1.54 (define @t3411 () (or @t1835 @t1834)) % 1.33/1.54 (define @t3412 () (or @t1795 @t3411)) % 1.33/1.54 (define @t3413 () (forall @t1837 @t3412)) % 1.33/1.54 (define @t3414 () (@list @t1833)) % 1.33/1.54 (define @t3415 () (forall @t3414 @t3412)) % 1.33/1.54 (define @t3416 () (forall @t3414 @t3411)) % 1.33/1.54 (define @t3417 () (@list @t19)) % 1.33/1.54 (define @t3418 () (or @t1795 @t3416)) % 1.33/1.54 (define @t3419 () (tptp.if @t2 @t173 @t4 @t19)) % 1.33/1.54 (define @t3420 () (tptp.in @t3419 @t2119)) % 1.33/1.54 (define @t3421 () (forall @t70 (or @t2170 @t3420))) % 1.33/1.54 (define @t3422 () (or @t197 @t3421)) % 1.33/1.54 (define @t3423 () (_ tptp.in @t3419)) % 1.33/1.54 (define @t3424 () (not @t21)) % 1.33/1.54 (define @t3425 () (or @t3424 @t1124)) % 1.33/1.54 (define @t3426 () (=> tptp.iftrueorfalse @t3410)) % 1.33/1.54 (define @t3427 () (or @t1795 false @t1840 @t1839)) % 1.33/1.54 (define @t3428 () (= @t1838 (tptp.if @t2 @t173 @t4 @t1838))) % 1.33/1.54 (define @t3429 () (not (= @t173 false))) % 1.33/1.54 (define @t3430 () (not @t1061)) % 1.33/1.54 (define @t3431 () (or @t173 @t1795 @t173 @t1840 @t3428)) % 1.33/1.54 (define @t3432 () (or @t1795 @t173 @t1840 @t3428)) % 1.33/1.54 (define @t3433 () (forall @t179 @t3432)) % 1.33/1.54 (define @t3434 () (forall @t1842 @t3433)) % 1.33/1.54 (define @t3435 () (forall (@list @t2 @t4 @t1838 @t173) @t3432)) % 1.33/1.54 (define @t3436 () (@list @t2 @t173 @t4 @t1838)) % 1.33/1.54 (define @t3437 () (or @t1840 @t3428)) % 1.33/1.54 (define @t3438 () (or @t1795 @t173 @t3437)) % 1.33/1.54 (define @t3439 () (forall @t3436 @t3438)) % 1.33/1.54 (define @t3440 () (@list @t1838)) % 1.33/1.54 (define @t3441 () (forall @t3440 @t3438)) % 1.33/1.54 (define @t3442 () (forall @t3440 @t3437)) % 1.33/1.54 (define @t3443 () (or @t1795 @t173 @t3442)) % 1.33/1.54 (define @t3444 () (forall @t70 (or @t2170 (= @t19 @t3419)))) % 1.33/1.54 (define @t3445 () (or @t197 @t173 @t3444)) % 1.33/1.54 (define @t3446 () (or @t173 @t3444)) % 1.33/1.54 (define @t3447 () (= @t19 @t1100)) % 1.33/1.54 (define @t3448 () (or @t3424 @t3447)) % 1.33/1.54 (define @t3449 () (forall @t70 @t3448)) % 1.33/1.54 (define @t3450 () (or @t173 @t3449)) % 1.33/1.54 (define @t3451 () (or @t173 @t3448)) % 1.33/1.54 (define @t3452 () (or @t3424 @t173 @t3447)) % 1.33/1.54 (define @t3453 () (=> @t1061 @t3447)) % 1.33/1.54 (define @t3454 () (=> tptp.iffalse @t3426)) % 1.33/1.54 (define @t3455 () (not true)) % 1.33/1.54 (define @t3456 () (or @t1795 @t3455 @t1845 @t1844)) % 1.33/1.54 (define @t3457 () (= @t4 (tptp.if @t2 @t173 @t4 @t1843))) % 1.33/1.54 (define @t3458 () (not (= @t173 true))) % 1.33/1.54 (define @t3459 () (or @t1061 @t1795 @t1061 @t1845 @t3457)) % 1.33/1.54 (define @t3460 () (or @t1795 @t1061 @t1845 @t3457)) % 1.33/1.54 (define @t3461 () (forall @t179 @t3460)) % 1.33/1.54 (define @t3462 () (forall @t1847 @t3461)) % 1.33/1.54 (define @t3463 () (forall (@list @t2 @t4 @t1843 @t173) @t3460)) % 1.33/1.54 (define @t3464 () (@list @t2 @t173 @t4 @t1843)) % 1.33/1.54 (define @t3465 () (or @t1845 @t3457)) % 1.33/1.54 (define @t3466 () (or @t1795 @t1061 @t3465)) % 1.33/1.54 (define @t3467 () (forall @t3464 @t3466)) % 1.33/1.54 (define @t3468 () (@list @t1843)) % 1.33/1.54 (define @t3469 () (forall @t3468 @t3466)) % 1.33/1.54 (define @t3470 () (forall @t3468 @t3465)) % 1.33/1.54 (define @t3471 () (or @t1795 @t1061 @t3470)) % 1.33/1.54 (define @t3472 () (forall @t70 (or @t2170 (= @t4 @t3419)))) % 1.33/1.54 (define @t3473 () (or @t197 @t1061 @t3472)) % 1.33/1.54 (define @t3474 () (or @t1061 @t3472)) % 1.33/1.54 (define @t3475 () (= @t4 @t1100)) % 1.33/1.54 (define @t3476 () (or @t3424 @t3475)) % 1.33/1.54 (define @t3477 () (forall @t70 @t3476)) % 1.33/1.54 (define @t3478 () (or @t1061 @t3477)) % 1.33/1.54 (define @t3479 () (or @t1061 @t3476)) % 1.33/1.54 (define @t3480 () (or @t3424 @t1061 @t3475)) % 1.33/1.54 (define @t3481 () (=> @t173 @t3475)) % 1.33/1.54 (define @t3482 () (=> tptp.iftrue @t3454)) % 1.33/1.54 (define @t3483 () (= @t1848 @t1849)) % 1.33/1.54 (define @t3484 () (or @t1852 @t1850 @t3483)) % 1.33/1.54 (define @t3485 () (or @t1850 @t3483)) % 1.33/1.54 (define @t3486 () (or @t1852 @t3485)) % 1.33/1.54 (define @t3487 () (forall @t1853 @t3486)) % 1.33/1.54 (define @t3488 () (@list @t1848)) % 1.33/1.54 (define @t3489 () (forall @t3488 @t3486)) % 1.33/1.54 (define @t3490 () (forall @t3488 @t3485)) % 1.33/1.54 (define @t3491 () (or @t1852 @t3490)) % 1.33/1.54 (define @t3492 () (forall @t9 (or @t1793 (= @t4 @t1849)))) % 1.33/1.54 (define @t3493 () (not @t761)) % 1.33/1.54 (define @t3494 () (or @t3493 @t3492)) % 1.33/1.54 (define @t3495 () (= @t4 @t759)) % 1.33/1.54 (define @t3496 () (or @t1214 @t3495)) % 1.33/1.54 (define @t3497 () (=> tptp.theeq @t3482)) % 1.33/1.54 (define @t3498 () (or @t1856 @t1855)) % 1.33/1.54 (define @t3499 () (or @t1795 @t3498)) % 1.33/1.54 (define @t3500 () (forall @t1858 @t3499)) % 1.33/1.54 (define @t3501 () (@list @t1854)) % 1.33/1.54 (define @t3502 () (forall @t3501 @t3499)) % 1.33/1.54 (define @t3503 () (forall @t3501 @t3498)) % 1.33/1.54 (define @t3504 () (or @t1795 @t3503)) % 1.33/1.54 (define @t3505 () (tptp.in @t3419 @t2)) % 1.33/1.54 (define @t3506 () (forall @t70 (or @t2170 @t3505))) % 1.33/1.54 (define @t3507 () (or @t197 @t3506)) % 1.33/1.54 (define @t3508 () (or @t3424 @t1102)) % 1.33/1.54 (define @t3509 () (=> tptp.ifp @t3497)) % 1.33/1.54 (define @t3510 () (and @t1061 (= @t1859 @t289))) % 1.33/1.54 (define @t3511 () (or @t1860 @t3510)) % 1.33/1.54 (define @t3512 () (lambda @t1065 @t3511)) % 1.33/1.54 (define @t3513 () (tptp.dsetconstr @t2 @t3512)) % 1.33/1.54 (define @t3514 () (tptp.singleton @t3513)) % 1.33/1.54 (define @t3515 () (or @t1795 @t1861 @t3514)) % 1.33/1.54 (define @t3516 () (or @t1861 @t3514)) % 1.33/1.54 (define @t3517 () (or @t1795 @t3516)) % 1.33/1.54 (define @t3518 () (forall @t1862 @t3517)) % 1.33/1.54 (define @t3519 () (@list @t1859)) % 1.33/1.54 (define @t3520 () (forall @t3519 @t3517)) % 1.33/1.54 (define @t3521 () (forall @t3519 @t3516)) % 1.33/1.54 (define @t3522 () (or @t1795 @t3521)) % 1.33/1.54 (define @t3523 () (lambda @t1065 (or @t1860 (and @t1061 @t2238)))) % 1.33/1.54 (define @t3524 () (tptp.dsetconstr @t2 @t3523)) % 1.33/1.54 (define @t3525 () (tptp.singleton @t3524)) % 1.33/1.54 (define @t3526 () (forall @t70 (or @t2170 @t3525))) % 1.33/1.54 (define @t3527 () (or @t197 @t3526)) % 1.33/1.54 (define @t3528 () (_ @t155 @t3523)) % 1.33/1.54 (define @t3529 () (_ tptp.singleton @t3528)) % 1.33/1.54 (define @t3530 () (or @t3424 @t3529)) % 1.33/1.54 (define @t3531 () (=> tptp.ifSingleton @t3509)) % 1.33/1.54 (define @t3532 () (= @t289 @t1866)) % 1.33/1.54 (define @t3533 () (and @t3455 @t3532)) % 1.33/1.54 (define @t3534 () (and true @t744)) % 1.33/1.54 (define @t3535 () (or @t3534 @t3533)) % 1.33/1.54 (define @t3536 () (lambda @t1065 @t3535)) % 1.33/1.54 (define @t3537 () (tptp.dsetconstr @t2 @t3536)) % 1.33/1.54 (define @t3538 () (= @t1864 @t3537)) % 1.33/1.54 (define @t3539 () (or @t1795 @t3455 @t1867 @t3538)) % 1.33/1.54 (define @t3540 () (= @t1864 (tptp.dsetconstr @t2 (lambda @t1065 (or @t1860 (and @t1061 @t3532)))))) % 1.33/1.54 (define @t3541 () (or @t1061 @t1795 @t1061 @t1867 @t3540)) % 1.33/1.54 (define @t3542 () (or @t1795 @t1061 @t1867 @t3540)) % 1.33/1.54 (define @t3543 () (forall @t179 @t3542)) % 1.33/1.54 (define @t3544 () (forall @t1869 @t3543)) % 1.33/1.54 (define @t3545 () (forall (@list @t2 @t4 @t1866 @t173) @t3542)) % 1.33/1.54 (define @t3546 () (@list @t2 @t173 @t4 @t1866)) % 1.33/1.54 (define @t3547 () (and @t1061 (= @t1866 @t289))) % 1.33/1.54 (define @t3548 () (or @t1860 @t3547)) % 1.33/1.54 (define @t3549 () (lambda @t1065 @t3548)) % 1.33/1.54 (define @t3550 () (tptp.dsetconstr @t2 @t3549)) % 1.33/1.54 (define @t3551 () (= @t1864 @t3550)) % 1.33/1.54 (define @t3552 () (or @t1795 @t1061 @t1867 @t3551)) % 1.33/1.54 (define @t3553 () (or @t1867 @t3551)) % 1.33/1.54 (define @t3554 () (or @t1795 @t1061 @t3553)) % 1.33/1.54 (define @t3555 () (forall @t3546 @t3554)) % 1.33/1.54 (define @t3556 () (@list @t1866)) % 1.33/1.54 (define @t3557 () (forall @t3556 @t3554)) % 1.33/1.54 (define @t3558 () (forall @t3556 @t3553)) % 1.33/1.54 (define @t3559 () (or @t1795 @t1061 @t3558)) % 1.33/1.54 (define @t3560 () (forall @t70 (or @t2170 (= @t1864 @t3524)))) % 1.33/1.54 (define @t3561 () (or @t197 @t1061 @t3560)) % 1.33/1.54 (define @t3562 () (or @t1061 @t3560)) % 1.33/1.54 (define @t3563 () (= @t279 @t3528)) % 1.33/1.54 (define @t3564 () (or @t3424 @t3563)) % 1.33/1.54 (define @t3565 () (forall @t70 @t3564)) % 1.33/1.54 (define @t3566 () (or @t1061 @t3565)) % 1.33/1.54 (define @t3567 () (or @t1061 @t3564)) % 1.33/1.54 (define @t3568 () (or @t3424 @t1061 @t3563)) % 1.33/1.54 (define @t3569 () (=> @t173 @t3563)) % 1.33/1.54 (define @t3570 () (=> tptp.iftrueProp2 @t3531)) % 1.33/1.54 (define @t3571 () (= @t289 @t1871)) % 1.33/1.54 (define @t3572 () (and @t3455 @t3571)) % 1.33/1.54 (define @t3573 () (or @t3534 @t3572)) % 1.33/1.54 (define @t3574 () (lambda @t1065 @t3573)) % 1.33/1.54 (define @t3575 () (tptp.dsetconstr @t2 @t3574)) % 1.33/1.54 (define @t3576 () (tptp.in @t4 @t3575)) % 1.33/1.54 (define @t3577 () (or @t1795 @t3455 @t1872 @t3576)) % 1.33/1.54 (define @t3578 () (tptp.in @t4 (tptp.dsetconstr @t2 (lambda @t1065 (or @t1860 (and @t1061 @t3571)))))) % 1.33/1.54 (define @t3579 () (or @t1061 @t1795 @t1061 @t1872 @t3578)) % 1.33/1.54 (define @t3580 () (or @t1795 @t1061 @t1872 @t3578)) % 1.33/1.54 (define @t3581 () (forall @t179 @t3580)) % 1.33/1.54 (define @t3582 () (forall @t1874 @t3581)) % 1.33/1.54 (define @t3583 () (forall (@list @t2 @t4 @t1871 @t173) @t3580)) % 1.33/1.54 (define @t3584 () (@list @t2 @t173 @t4 @t1871)) % 1.33/1.54 (define @t3585 () (and @t1061 (= @t1871 @t289))) % 1.33/1.54 (define @t3586 () (or @t1860 @t3585)) % 1.33/1.54 (define @t3587 () (lambda @t1065 @t3586)) % 1.33/1.54 (define @t3588 () (tptp.dsetconstr @t2 @t3587)) % 1.33/1.54 (define @t3589 () (tptp.in @t4 @t3588)) % 1.33/1.54 (define @t3590 () (or @t1795 @t1061 @t1872 @t3589)) % 1.33/1.54 (define @t3591 () (or @t1872 @t3589)) % 1.33/1.54 (define @t3592 () (or @t1795 @t1061 @t3591)) % 1.33/1.54 (define @t3593 () (forall @t3584 @t3592)) % 1.33/1.54 (define @t3594 () (@list @t1871)) % 1.33/1.54 (define @t3595 () (forall @t3594 @t3592)) % 1.33/1.54 (define @t3596 () (forall @t3594 @t3591)) % 1.33/1.54 (define @t3597 () (or @t1795 @t1061 @t3596)) % 1.33/1.54 (define @t3598 () (tptp.in @t4 @t3524)) % 1.33/1.54 (define @t3599 () (forall @t70 (or @t2170 @t3598))) % 1.33/1.54 (define @t3600 () (or @t197 @t1061 @t3599)) % 1.33/1.54 (define @t3601 () (or @t1061 @t3599)) % 1.33/1.54 (define @t3602 () (_ @t5 @t3528)) % 1.33/1.54 (define @t3603 () (or @t3424 @t3602)) % 1.33/1.54 (define @t3604 () (forall @t70 @t3603)) % 1.33/1.54 (define @t3605 () (or @t1061 @t3604)) % 1.33/1.54 (define @t3606 () (or @t1061 @t3603)) % 1.33/1.54 (define @t3607 () (or @t3424 @t1061 @t3602)) % 1.33/1.54 (define @t3608 () (=> @t173 @t3602)) % 1.33/1.54 (define @t3609 () (=> tptp.iftrueProp1 @t3570)) % 1.33/1.54 (define @t3610 () (not false)) % 1.33/1.54 (define @t3611 () (and @t3610 @t1876)) % 1.33/1.54 (define @t3612 () (and false @t744)) % 1.33/1.54 (define @t3613 () (or @t3612 @t3611)) % 1.33/1.54 (define @t3614 () (lambda @t1065 @t3613)) % 1.33/1.54 (define @t3615 () (tptp.dsetconstr @t2 @t3614)) % 1.33/1.54 (define @t3616 () (= @t1877 @t3615)) % 1.33/1.54 (define @t3617 () (or @t1795 @t1878 @t3616)) % 1.33/1.54 (define @t3618 () (or @t1795 false @t1878 @t3616)) % 1.33/1.54 (define @t3619 () (= @t1877 (tptp.dsetconstr @t2 (lambda @t1065 (or @t1860 (and @t1061 @t1876)))))) % 1.33/1.54 (define @t3620 () (or @t173 @t1795 @t173 @t1878 @t3619)) % 1.33/1.54 (define @t3621 () (or @t1795 @t173 @t1878 @t3619)) % 1.33/1.54 (define @t3622 () (forall @t179 @t3621)) % 1.33/1.54 (define @t3623 () (forall @t1879 @t3622)) % 1.33/1.54 (define @t3624 () (forall (@list @t2 @t4 @t1875 @t173) @t3621)) % 1.33/1.54 (define @t3625 () (@list @t2 @t173 @t4 @t1875)) % 1.33/1.54 (define @t3626 () (and @t1061 (= @t1875 @t289))) % 1.33/1.54 (define @t3627 () (or @t1860 @t3626)) % 1.33/1.54 (define @t3628 () (lambda @t1065 @t3627)) % 1.33/1.54 (define @t3629 () (tptp.dsetconstr @t2 @t3628)) % 1.33/1.54 (define @t3630 () (= @t1877 @t3629)) % 1.33/1.54 (define @t3631 () (or @t1795 @t173 @t1878 @t3630)) % 1.33/1.54 (define @t3632 () (or @t1878 @t3630)) % 1.33/1.54 (define @t3633 () (or @t1795 @t173 @t3632)) % 1.33/1.54 (define @t3634 () (forall @t3625 @t3633)) % 1.33/1.54 (define @t3635 () (@list @t1875)) % 1.33/1.54 (define @t3636 () (forall @t3635 @t3633)) % 1.33/1.54 (define @t3637 () (forall @t3635 @t3632)) % 1.33/1.54 (define @t3638 () (or @t1795 @t173 @t3637)) % 1.33/1.54 (define @t3639 () (forall @t70 (or @t2170 (= @t2118 @t3524)))) % 1.33/1.54 (define @t3640 () (or @t197 @t173 @t3639)) % 1.33/1.54 (define @t3641 () (or @t173 @t3639)) % 1.33/1.54 (define @t3642 () (= @t275 @t3528)) % 1.33/1.54 (define @t3643 () (or @t3424 @t3642)) % 1.33/1.54 (define @t3644 () (forall @t70 @t3643)) % 1.33/1.54 (define @t3645 () (or @t173 @t3644)) % 1.33/1.54 (define @t3646 () (or @t173 @t3643)) % 1.33/1.54 (define @t3647 () (or @t3424 @t173 @t3642)) % 1.33/1.54 (define @t3648 () (=> @t1061 @t3642)) % 1.33/1.54 (define @t3649 () (=> tptp.iffalseProp2 @t3609)) % 1.33/1.54 (define @t3650 () (and @t3610 @t1881)) % 1.33/1.54 (define @t3651 () (or @t3612 @t3650)) % 1.33/1.54 (define @t3652 () (lambda @t1065 @t3651)) % 1.33/1.54 (define @t3653 () (tptp.dsetconstr @t2 @t3652)) % 1.33/1.54 (define @t3654 () (tptp.in @t1880 @t3653)) % 1.33/1.54 (define @t3655 () (or @t1795 @t1882 @t3654)) % 1.33/1.54 (define @t3656 () (or @t1795 false @t1882 @t3654)) % 1.33/1.54 (define @t3657 () (tptp.in @t1880 (tptp.dsetconstr @t2 (lambda @t1065 (or @t1860 (and @t1061 @t1881)))))) % 1.33/1.54 (define @t3658 () (or @t173 @t1795 @t173 @t1882 @t3657)) % 1.33/1.54 (define @t3659 () (or @t1795 @t173 @t1882 @t3657)) % 1.33/1.54 (define @t3660 () (forall @t179 @t3659)) % 1.33/1.54 (define @t3661 () (forall @t1883 @t3660)) % 1.33/1.54 (define @t3662 () (forall (@list @t2 @t4 @t1880 @t173) @t3659)) % 1.33/1.54 (define @t3663 () (@list @t2 @t173 @t4 @t1880)) % 1.33/1.54 (define @t3664 () (and @t1061 (= @t1880 @t289))) % 1.33/1.54 (define @t3665 () (or @t1860 @t3664)) % 1.33/1.54 (define @t3666 () (lambda @t1065 @t3665)) % 1.33/1.54 (define @t3667 () (tptp.dsetconstr @t2 @t3666)) % 1.33/1.54 (define @t3668 () (tptp.in @t1880 @t3667)) % 1.33/1.54 (define @t3669 () (or @t1795 @t173 @t1882 @t3668)) % 1.33/1.54 (define @t3670 () (or @t1882 @t3668)) % 1.33/1.54 (define @t3671 () (or @t1795 @t173 @t3670)) % 1.33/1.54 (define @t3672 () (forall @t3663 @t3671)) % 1.33/1.54 (define @t3673 () (@list @t1880)) % 1.33/1.54 (define @t3674 () (forall @t3673 @t3671)) % 1.33/1.54 (define @t3675 () (forall @t3673 @t3670)) % 1.33/1.54 (define @t3676 () (or @t1795 @t173 @t3675)) % 1.33/1.54 (define @t3677 () (tptp.in @t19 @t3524)) % 1.33/1.54 (define @t3678 () (forall @t70 (or @t2170 @t3677))) % 1.33/1.54 (define @t3679 () (or @t197 @t173 @t3678)) % 1.33/1.54 (define @t3680 () (or @t173 @t3678)) % 1.33/1.54 (define @t3681 () (_ @t20 @t3528)) % 1.33/1.54 (define @t3682 () (or @t3424 @t3681)) % 1.33/1.54 (define @t3683 () (forall @t70 @t3682)) % 1.33/1.54 (define @t3684 () (or @t173 @t3683)) % 1.33/1.54 (define @t3685 () (or @t173 @t3682)) % 1.33/1.54 (define @t3686 () (or @t3424 @t173 @t3681)) % 1.33/1.54 (define @t3687 () (=> @t1061 @t3681)) % 1.33/1.54 (define @t3688 () (=> tptp.iffalseProp1 @t3649)) % 1.33/1.54 (define @t3689 () (= @t878 @t1050)) % 1.33/1.54 (define @t3690 () (not @t905)) % 1.33/1.54 (define @t3691 () (or @t3690 @t3689)) % 1.33/1.54 (define @t3692 () (=> tptp.eta2 @t3688)) % 1.33/1.54 (define @t3693 () (or @t1894 @t1893)) % 1.33/1.54 (define @t3694 () (or @t1898 @t3693)) % 1.33/1.54 (define @t3695 () (forall @t1900 @t3694)) % 1.33/1.54 (define @t3696 () (@list @t1891)) % 1.33/1.54 (define @t3697 () (forall @t3696 @t3694)) % 1.33/1.54 (define @t3698 () (forall @t3696 @t3693)) % 1.33/1.54 (define @t3699 () (or @t1898 @t3698)) % 1.33/1.54 (define @t3700 () (forall @t9 (or @t1795 (= @t1895 (tptp.ap @t2 @t1 @t1892 @t4))))) % 1.33/1.54 (define @t3701 () (_ @t913 @t19)) % 1.33/1.54 (define @t3702 () (lambda @t70 @t3701)) % 1.33/1.54 (define @t3703 () (tptp.lam @t2 @t1 @t3702)) % 1.33/1.54 (define @t3704 () (tptp.ap @t2 @t1 @t3703 @t4)) % 1.33/1.54 (define @t3705 () (= @t1895 @t3704)) % 1.33/1.54 (define @t3706 () (or @t1795 @t3705)) % 1.33/1.54 (define @t3707 () (= @t914 @t1043)) % 1.33/1.54 (define @t3708 () (or @t197 @t3707)) % 1.33/1.54 (define @t3709 () (or @t197 @t916)) % 1.33/1.54 (define @t3710 () (=> tptp.beta2 @t3692)) % 1.33/1.54 (define @t3711 () (=> tptp.lam2lamEq @t3710)) % 1.33/1.54 (define @t3712 () (not @t885)) % 1.33/1.54 (define @t3713 () (or @t3712 @t3689)) % 1.33/1.54 (define @t3714 () (=> tptp.eta1 @t3711)) % 1.33/1.54 (define @t3715 () (=> tptp.beta1 @t3714)) % 1.33/1.54 (define @t3716 () (=> tptp.ap2apEq2 @t3715)) % 1.33/1.54 (define @t3717 () (=> tptp.ap2apEq1 @t3716)) % 1.33/1.54 (define @t3718 () (or @t1909 @t1908 @t1907)) % 1.33/1.54 (define @t3719 () (or @t1890 @t3718)) % 1.33/1.54 (define @t3720 () (forall @t1911 @t3719)) % 1.33/1.54 (define @t3721 () (@list @t1906)) % 1.33/1.54 (define @t3722 () (forall @t3721 @t3719)) % 1.33/1.54 (define @t3723 () (forall @t3721 @t3718)) % 1.33/1.54 (define @t3724 () (@list @t970)) % 1.33/1.54 (define @t3725 () (or @t1890 @t3723)) % 1.33/1.54 (define @t3726 () (tptp.ap @t2 @t1 @t970 @t4)) % 1.33/1.54 (define @t3727 () (forall @t9 (or @t1795 (= @t1884 @t3726)))) % 1.33/1.54 (define @t3728 () (not @t3727)) % 1.33/1.54 (define @t3729 () (tptp.in @t970 @t1888)) % 1.33/1.54 (define @t3730 () (forall @t982 (or (not @t3729) @t3728 @t1018))) % 1.33/1.54 (define @t3731 () (or @t3690 @t3730)) % 1.33/1.54 (define @t3732 () (not @t1026)) % 1.33/1.54 (define @t3733 () (or @t3732 @t3728 @t1018)) % 1.33/1.54 (define @t3734 () (or @t3728 @t1018)) % 1.33/1.54 (define @t3735 () (=> @t3727 @t1018)) % 1.33/1.54 (define @t3736 () (or @t197 @t977)) % 1.33/1.54 (define @t3737 () (=> tptp.funcext2 @t3717)) % 1.33/1.54 (define @t3738 () (or @t1916 @t1915 @t1914)) % 1.33/1.54 (define @t3739 () (or @t1904 @t3738)) % 1.33/1.54 (define @t3740 () (forall @t1918 @t3739)) % 1.33/1.54 (define @t3741 () (@list @t1913)) % 1.33/1.54 (define @t3742 () (forall @t3741 @t3739)) % 1.33/1.54 (define @t3743 () (forall @t3741 @t3738)) % 1.33/1.54 (define @t3744 () (or @t1904 @t3743)) % 1.33/1.54 (define @t3745 () (tptp.func @t2 @t1 @t970)) % 1.33/1.54 (define @t3746 () (not @t3745)) % 1.33/1.54 (define @t3747 () (forall @t982 (or @t3746 @t3728 @t1018))) % 1.33/1.54 (define @t3748 () (or @t3712 @t3747)) % 1.33/1.54 (define @t3749 () (not @t980)) % 1.33/1.54 (define @t3750 () (or @t3749 @t3728 @t1018)) % 1.33/1.54 (define @t3751 () (=> tptp.funcext @t3737)) % 1.33/1.54 (define @t3752 () (or @t1935 @t1933 @t1927 @t1921)) % 1.33/1.54 (define @t3753 () (or @t1937 @t3752)) % 1.33/1.54 (define @t3754 () (forall @t1939 @t3753)) % 1.33/1.54 (define @t3755 () (@list @t1920)) % 1.33/1.54 (define @t3756 () (forall @t3755 @t3753)) % 1.33/1.54 (define @t3757 () (forall @t3755 @t3752)) % 1.33/1.54 (define @t3758 () (@list @t990)) % 1.33/1.54 (define @t3759 () (or @t1937 @t3757)) % 1.33/1.54 (define @t3760 () (not (tptp.in @t1923 @t990))) % 1.33/1.54 (define @t3761 () (or @t1795 @t1925 @t3760 @t1924)) % 1.33/1.54 (define @t3762 () (forall @t1926 @t3761)) % 1.33/1.54 (define @t3763 () (not @t3762)) % 1.33/1.54 (define @t3764 () (tptp.in @t1929 @t990)) % 1.33/1.54 (define @t3765 () (or @t1795 @t1931 @t1930 @t3764)) % 1.33/1.54 (define @t3766 () (forall @t1932 @t3765)) % 1.33/1.54 (define @t3767 () (not @t3766)) % 1.33/1.54 (define @t3768 () (tptp.subset @t990 @t1934)) % 1.33/1.54 (define @t3769 () (not @t3768)) % 1.33/1.54 (define @t3770 () (forall @t1001 (or @t3769 @t3767 @t3763 @t1006))) % 1.33/1.54 (define @t3771 () (_ @t991 @t675)) % 1.33/1.54 (define @t3772 () (not @t3771)) % 1.33/1.54 (define @t3773 () (or @t3772 @t3770)) % 1.33/1.54 (define @t3774 () (_ tptp.subset @t990)) % 1.33/1.54 (define @t3775 () (_ @t3774 @t675)) % 1.33/1.54 (define @t3776 () (not @t3775)) % 1.33/1.54 (define @t3777 () (or @t3776 @t3767 @t3763 @t1006)) % 1.33/1.54 (define @t3778 () (or @t3767 @t3763 @t1006)) % 1.33/1.54 (define @t3779 () (=> @t3762 @t1006)) % 1.33/1.54 (define @t3780 () (=> @t3766 @t3779)) % 1.33/1.54 (define @t3781 () (or @t1925 @t3760 @t1924)) % 1.33/1.54 (define @t3782 () (or @t1795 @t3781)) % 1.33/1.54 (define @t3783 () (forall @t1926 @t3782)) % 1.33/1.54 (define @t3784 () (@list @t1922)) % 1.33/1.54 (define @t3785 () (forall @t3784 @t3782)) % 1.33/1.54 (define @t3786 () (forall @t3784 @t3781)) % 1.33/1.54 (define @t3787 () (or @t1795 @t3786)) % 1.33/1.54 (define @t3788 () (tptp.in @t2050 @t933)) % 1.33/1.54 (define @t3789 () (tptp.in @t2050 @t990)) % 1.33/1.54 (define @t3790 () (not @t2054)) % 1.33/1.54 (define @t3791 () (forall @t70 (or @t3790 (not @t3789) @t3788))) % 1.33/1.54 (define @t3792 () (or @t197 @t3791)) % 1.33/1.54 (define @t3793 () (_ tptp.in @t2050)) % 1.33/1.54 (define @t3794 () (not @t993)) % 1.33/1.54 (define @t3795 () (not @t354)) % 1.33/1.54 (define @t3796 () (or @t3795 @t3794 @t937)) % 1.33/1.54 (define @t3797 () (or @t1931 @t1930 @t3764)) % 1.33/1.54 (define @t3798 () (or @t1795 @t3797)) % 1.33/1.54 (define @t3799 () (forall @t1932 @t3798)) % 1.33/1.54 (define @t3800 () (@list @t1928)) % 1.33/1.54 (define @t3801 () (forall @t3800 @t3798)) % 1.33/1.54 (define @t3802 () (forall @t3800 @t3797)) % 1.33/1.54 (define @t3803 () (or @t1795 @t3802)) % 1.33/1.54 (define @t3804 () (not @t3788)) % 1.33/1.54 (define @t3805 () (forall @t70 (or @t3790 @t3804 @t3789))) % 1.33/1.54 (define @t3806 () (or @t197 @t3805)) % 1.33/1.54 (define @t3807 () (not @t937)) % 1.33/1.54 (define @t3808 () (or @t3795 @t3807 @t993)) % 1.33/1.54 (define @t3809 () (lambda @t118 @t1624)) % 1.33/1.54 (define @t3810 () (lambda (@list @t1 @t104) @t1624)) % 1.33/1.54 (define @t3811 () (_ @t1625 @t2)) % 1.33/1.54 (define @t3812 () (_ @t3811 @t1)) % 1.33/1.54 (define @t3813 () (_ @t3812 @t990)) % 1.33/1.54 (define @t3814 () (=> @t3813 @t1012)) % 1.33/1.54 (define @t3815 () (forall @t1001 @t3814)) % 1.33/1.54 (define @t3816 () (_ @t3812 @t933)) % 1.33/1.54 (define @t3817 () (=> @t3816 @t3815)) % 1.33/1.54 (define @t3818 () (forall @t946 @t3817)) % 1.33/1.54 (define @t3819 () (=> tptp.eqbreln @t3751)) % 1.33/1.54 (define @t3820 () (or @t1944 @t1943 @t1942)) % 1.33/1.54 (define @t3821 () (or @t1937 @t3820)) % 1.33/1.54 (define @t3822 () (forall @t1946 @t3821)) % 1.33/1.54 (define @t3823 () (@list @t1941)) % 1.33/1.54 (define @t3824 () (forall @t3823 @t3821)) % 1.33/1.54 (define @t3825 () (forall @t3823 @t3820)) % 1.33/1.54 (define @t3826 () (or @t1937 @t3825)) % 1.33/1.54 (define @t3827 () (tptp.subset @t933 @t990)) % 1.33/1.54 (define @t3828 () (forall @t1001 (or @t3769 @t3767 @t3827))) % 1.33/1.54 (define @t3829 () (or @t3772 @t3828)) % 1.33/1.54 (define @t3830 () (or @t3776 @t3767 @t992)) % 1.33/1.54 (define @t3831 () (=> @t3766 @t992)) % 1.33/1.54 (define @t3832 () (=> @t3813 @t998)) % 1.33/1.54 (define @t3833 () (forall @t1001 @t3832)) % 1.33/1.54 (define @t3834 () (=> @t3816 @t3833)) % 1.33/1.54 (define @t3835 () (forall @t946 @t3834)) % 1.33/1.54 (define @t3836 () (=> tptp.subbreln @t3819)) % 1.33/1.54 (define @t3837 () (= @t1949 @t1950)) % 1.33/1.54 (define @t3838 () (or @t1890 @t1953 @t1952 @t1951 @t3837)) % 1.33/1.54 (define @t3839 () (or @t1953 @t1952 @t1951 @t3837)) % 1.33/1.54 (define @t3840 () (or @t1890 @t3839)) % 1.33/1.54 (define @t3841 () (forall @t1954 @t3840)) % 1.33/1.54 (define @t3842 () (@list @t1948 @t1950)) % 1.33/1.54 (define @t3843 () (forall @t3842 @t3840)) % 1.33/1.54 (define @t3844 () (forall @t3842 @t3839)) % 1.33/1.54 (define @t3845 () (@var "BOUND_VARIABLE_12784" $$unsorted)) % 1.33/1.54 (define @t3846 () (@list @t4 @t3845)) % 1.33/1.54 (define @t3847 () (or @t1890 @t3844)) % 1.33/1.54 (define @t3848 () (not (tptp.in (tptp.kpair @t4 @t3845) @t878))) % 1.33/1.54 (define @t3849 () (not (tptp.in @t3845 @t1))) % 1.33/1.54 (define @t3850 () (@list @t4 @t3845)) % 1.33/1.54 (define @t3851 () (forall @t3850 (or @t1795 @t3849 @t3848 (= @t1884 @t3845)))) % 1.33/1.54 (define @t3852 () (or @t3690 @t3851)) % 1.33/1.54 (define @t3853 () (= @t3845 @t1884)) % 1.33/1.54 (define @t3854 () (or @t1795 @t3849 @t3848 @t3853)) % 1.33/1.54 (define @t3855 () (or @t3849 @t3848 @t3853)) % 1.33/1.54 (define @t3856 () (or @t1795 @t3855)) % 1.33/1.54 (define @t3857 () (forall @t3850 @t3856)) % 1.33/1.54 (define @t3858 () (@list @t3845)) % 1.33/1.54 (define @t3859 () (forall @t3858 @t3856)) % 1.33/1.54 (define @t3860 () (forall @t3858 @t3855)) % 1.33/1.54 (define @t3861 () (or @t1795 @t3860)) % 1.33/1.54 (define @t3862 () (tptp.in @t2050 @t878)) % 1.33/1.54 (define @t3863 () (forall @t70 (or @t3790 (not @t3862) (= @t19 @t1884)))) % 1.33/1.54 (define @t3864 () (or @t197 @t3863)) % 1.33/1.54 (define @t3865 () (= @t19 @t897)) % 1.33/1.54 (define @t3866 () (not @t879)) % 1.33/1.54 (define @t3867 () (or @t3795 @t3866 @t3865)) % 1.33/1.54 (define @t3868 () (=> @t879 @t3865)) % 1.33/1.54 (define @t3869 () (=> tptp.funcGraphProp4 @t3836)) % 1.33/1.54 (define @t3870 () (or @t1965 @t1964 @t1963 @t1962 @t1961 @t1959)) % 1.33/1.54 (define @t3871 () (or @t1904 @t3870)) % 1.33/1.54 (define @t3872 () (forall @t1967 @t3871)) % 1.33/1.54 (define @t3873 () (@list @t1960 @t1957 @t1956)) % 1.33/1.54 (define @t3874 () (forall @t3873 @t3871)) % 1.33/1.54 (define @t3875 () (forall @t3873 @t3870)) % 1.33/1.54 (define @t3876 () (@var "BOUND_VARIABLE_12878" $$unsorted)) % 1.33/1.54 (define @t3877 () (@var "BOUND_VARIABLE_12876" $$unsorted)) % 1.33/1.54 (define @t3878 () (or @t1904 @t3875)) % 1.33/1.54 (define @t3879 () (tptp.kpair @t3877 @t3876)) % 1.33/1.54 (define @t3880 () (tptp.in @t3879 @t878)) % 1.33/1.54 (define @t3881 () (not (tptp.in @t3879 @t970))) % 1.33/1.54 (define @t3882 () (not (tptp.in @t3876 @t1))) % 1.33/1.54 (define @t3883 () (not (tptp.in @t3877 @t2))) % 1.33/1.54 (define @t3884 () (or @t3746 @t3728 @t3883 @t3882 @t3881 @t3880)) % 1.33/1.54 (define @t3885 () (@list @t970 @t3877 @t3876)) % 1.33/1.54 (define @t3886 () (forall @t3885 @t3884)) % 1.33/1.54 (define @t3887 () (or @t3712 @t3886)) % 1.33/1.54 (define @t3888 () (or @t3883 @t3882 @t3881 @t3880)) % 1.33/1.54 (define @t3889 () (or @t3746 @t3728 @t3888)) % 1.33/1.54 (define @t3890 () (forall @t3885 @t3889)) % 1.33/1.54 (define @t3891 () (@list @t3877 @t3876)) % 1.33/1.54 (define @t3892 () (forall @t3891 @t3889)) % 1.33/1.54 (define @t3893 () (forall @t3891 @t3888)) % 1.33/1.54 (define @t3894 () (@var "BOUND_VARIABLE_12850" $$unsorted)) % 1.33/1.54 (define @t3895 () (or @t3746 @t3728 @t3893)) % 1.33/1.54 (define @t3896 () (tptp.kpair @t4 @t3894)) % 1.33/1.54 (define @t3897 () (tptp.in @t3896 @t878)) % 1.33/1.54 (define @t3898 () (not (tptp.in @t3896 @t970))) % 1.33/1.54 (define @t3899 () (not (tptp.in @t3894 @t1))) % 1.33/1.54 (define @t3900 () (or @t1795 @t3899 @t3898 @t3897)) % 1.33/1.54 (define @t3901 () (@list @t4 @t3894)) % 1.33/1.54 (define @t3902 () (forall @t3901 @t3900)) % 1.33/1.54 (define @t3903 () (or @t3749 @t3728 @t3902)) % 1.33/1.54 (define @t3904 () (=> @t3727 @t3902)) % 1.33/1.54 (define @t3905 () (or @t3899 @t3898 @t3897)) % 1.33/1.54 (define @t3906 () (or @t1795 @t3905)) % 1.33/1.54 (define @t3907 () (forall @t3901 @t3906)) % 1.33/1.54 (define @t3908 () (@list @t3894)) % 1.33/1.54 (define @t3909 () (forall @t3908 @t3906)) % 1.33/1.54 (define @t3910 () (forall @t3908 @t3905)) % 1.33/1.54 (define @t3911 () (or @t1795 @t3910)) % 1.33/1.54 (define @t3912 () (tptp.in @t2050 @t970)) % 1.33/1.54 (define @t3913 () (forall @t70 (or @t3790 (not @t3912) @t3862))) % 1.33/1.54 (define @t3914 () (or @t197 @t3913)) % 1.33/1.54 (define @t3915 () (not @t971)) % 1.33/1.54 (define @t3916 () (or @t3795 @t3915 @t879)) % 1.33/1.54 (define @t3917 () (=> tptp.funcextLem @t3869)) % 1.33/1.54 (define @t3918 () (= @t1970 @t1971)) % 1.33/1.54 (define @t3919 () (or @t1904 @t1974 @t1973 @t1972 @t3918)) % 1.33/1.54 (define @t3920 () (or @t1974 @t1973 @t1972 @t3918)) % 1.33/1.54 (define @t3921 () (or @t1904 @t3920)) % 1.33/1.54 (define @t3922 () (forall @t1975 @t3921)) % 1.33/1.54 (define @t3923 () (@list @t1969 @t1971)) % 1.33/1.54 (define @t3924 () (forall @t3923 @t3921)) % 1.33/1.54 (define @t3925 () (forall @t3923 @t3920)) % 1.33/1.54 (define @t3926 () (or @t1904 @t3925)) % 1.33/1.54 (define @t3927 () (or @t3712 @t3851)) % 1.33/1.54 (define @t3928 () (=> tptp.funcGraphProp2 @t3917)) % 1.33/1.54 (define @t3929 () (or @t1979 @t1978)) % 1.33/1.54 (define @t3930 () (or @t1890 @t3929)) % 1.33/1.54 (define @t3931 () (forall @t1981 @t3930)) % 1.33/1.54 (define @t3932 () (@list @t1977)) % 1.33/1.54 (define @t3933 () (forall @t3932 @t3930)) % 1.33/1.54 (define @t3934 () (forall @t3932 @t3929)) % 1.33/1.54 (define @t3935 () (or @t1890 @t3934)) % 1.33/1.54 (define @t3936 () (tptp.kpair @t4 @t1884)) % 1.33/1.54 (define @t3937 () (tptp.in @t3936 @t878)) % 1.33/1.54 (define @t3938 () (forall @t9 (or @t1795 @t3937))) % 1.33/1.54 (define @t3939 () (or @t3690 @t3938)) % 1.33/1.54 (define @t3940 () (or @t197 @t954)) % 1.33/1.54 (define @t3941 () (=> tptp.funcGraphProp3 @t3928)) % 1.33/1.54 (define @t3942 () (or @t1985 @t1984)) % 1.33/1.54 (define @t3943 () (or @t1904 @t3942)) % 1.33/1.54 (define @t3944 () (forall @t1987 @t3943)) % 1.33/1.54 (define @t3945 () (@list @t1983)) % 1.33/1.54 (define @t3946 () (forall @t3945 @t3943)) % 1.33/1.54 (define @t3947 () (forall @t3945 @t3942)) % 1.33/1.54 (define @t3948 () (or @t1904 @t3947)) % 1.33/1.54 (define @t3949 () (or @t3712 @t3938)) % 1.33/1.54 (define @t3950 () (=> tptp.funcGraphProp1 @t3941)) % 1.33/1.54 (define @t3951 () (or @t1995 @t1994 @t1993 @t1992 @t1991)) % 1.33/1.54 (define @t3952 () (or @t1998 @t3951)) % 1.33/1.54 (define @t3953 () (forall @t2000 @t3952)) % 1.33/1.54 (define @t3954 () (@list @t1990 @t1989)) % 1.33/1.54 (define @t3955 () (forall @t3954 @t3952)) % 1.33/1.54 (define @t3956 () (forall @t3954 @t3951)) % 1.33/1.54 (define @t3957 () (or @t1998 @t3956)) % 1.33/1.54 (define @t3958 () (lambda @t9 @t2158)) % 1.33/1.54 (define @t3959 () (tptp.dsetconstr @t2 @t3958)) % 1.33/1.54 (define @t3960 () (tptp.singleton @t3959)) % 1.33/1.54 (define @t3961 () (not @t3960)) % 1.33/1.54 (define @t3962 () (or @t3961 @t2162)) % 1.33/1.54 (define @t3963 () (not @t716)) % 1.33/1.54 (define @t3964 () (or @t3963 @t2162)) % 1.33/1.54 (define @t3965 () (or @t2157 @t2156 @t2155)) % 1.33/1.54 (define @t3966 () (or @t1795 @t2159 @t3965)) % 1.33/1.54 (define @t3967 () (forall @t2161 @t3966)) % 1.33/1.54 (define @t3968 () (@list @t2154)) % 1.33/1.54 (define @t3969 () (forall @t3968 @t3966)) % 1.33/1.54 (define @t3970 () (forall @t3968 @t3965)) % 1.33/1.54 (define @t3971 () (or @t1795 @t2159 @t3970)) % 1.33/1.54 (define @t3972 () (or @t197 @t317 @t2171)) % 1.33/1.54 (define @t3973 () (or @t317 @t2171)) % 1.33/1.54 (define @t3974 () (not @t153)) % 1.33/1.54 (define @t3975 () (or @t3424 @t3974 @t129)) % 1.33/1.54 (define @t3976 () (forall @t70 @t3975)) % 1.33/1.54 (define @t3977 () (or @t317 @t3976)) % 1.33/1.54 (define @t3978 () (or @t317 @t3975)) % 1.33/1.54 (define @t3979 () (or @t3424 @t317 @t3974 @t129)) % 1.33/1.54 (define @t3980 () (or @t317 @t3974 @t129)) % 1.33/1.54 (define @t3981 () (or @t3974 @t129)) % 1.33/1.54 (define @t3982 () (_ @t145 @t4)) % 1.33/1.54 (define @t3983 () (lambda @t9 @t3982)) % 1.33/1.54 (define @t3984 () (lambda @t150 @t716)) % 1.33/1.54 (define @t3985 () (_ @t1623 @t2)) % 1.33/1.54 (define @t3986 () (_ @t3985 @t145)) % 1.33/1.54 (define @t3987 () (=> @t3986 @t720)) % 1.33/1.54 (define @t3988 () (forall @t311 @t3987)) % 1.33/1.54 (define @t3989 () (=> tptp.ex1E2 @t3950)) % 1.33/1.54 (define @t3990 () (or @t2011 @t2005 @t2004)) % 1.33/1.54 (define @t3991 () (or @t1937 @t3990)) % 1.33/1.54 (define @t3992 () (forall @t2013 @t3991)) % 1.33/1.54 (define @t3993 () (@list @t2003 @t2002)) % 1.33/1.54 (define @t3994 () (forall @t3993 @t3991)) % 1.33/1.54 (define @t3995 () (forall @t3993 @t3990)) % 1.33/1.54 (define @t3996 () (@var "BOUND_VARIABLE_12640" $$unsorted)) % 1.33/1.54 (define @t3997 () (or @t1937 @t3995)) % 1.33/1.54 (define @t3998 () (_ @t143 @t3996)) % 1.33/1.54 (define @t3999 () (not (tptp.in @t3996 @t933))) % 1.33/1.54 (define @t4000 () (_ @t143 @t2007)) % 1.33/1.54 (define @t4001 () (or @t1795 @t2009 @t2008 @t4000)) % 1.33/1.54 (define @t4002 () (forall @t2010 @t4001)) % 1.33/1.54 (define @t4003 () (not @t4002)) % 1.33/1.54 (define @t4004 () (or @t4003 @t3999 @t3998)) % 1.33/1.54 (define @t4005 () (@list @t143 @t3996)) % 1.33/1.54 (define @t4006 () (forall @t4005 @t4004)) % 1.33/1.54 (define @t4007 () (or @t3772 @t4006)) % 1.33/1.54 (define @t4008 () (or @t3999 @t3998)) % 1.33/1.54 (define @t4009 () (or @t4003 @t4008)) % 1.33/1.54 (define @t4010 () (forall @t4005 @t4009)) % 1.33/1.54 (define @t4011 () (@list @t3996)) % 1.33/1.54 (define @t4012 () (forall @t4011 @t4009)) % 1.33/1.54 (define @t4013 () (forall @t4011 @t4008)) % 1.33/1.54 (define @t4014 () (or @t4003 @t4013)) % 1.33/1.54 (define @t4015 () (tptp.in @t4 @t933)) % 1.33/1.54 (define @t4016 () (forall @t9 (or (not @t4015) @t2158))) % 1.33/1.54 (define @t4017 () (not @t934)) % 1.33/1.54 (define @t4018 () (or @t4017 @t144)) % 1.33/1.54 (define @t4019 () (or @t2009 @t2008 @t4000)) % 1.33/1.54 (define @t4020 () (or @t1795 @t4019)) % 1.33/1.54 (define @t4021 () (forall @t2010 @t4020)) % 1.33/1.54 (define @t4022 () (@list @t2006)) % 1.33/1.54 (define @t4023 () (forall @t4022 @t4020)) % 1.33/1.54 (define @t4024 () (forall @t4022 @t4019)) % 1.33/1.54 (define @t4025 () (or @t1795 @t4024)) % 1.33/1.54 (define @t4026 () (_ @t143 @t2050)) % 1.33/1.54 (define @t4027 () (forall @t70 (or @t3790 @t3804 @t4026))) % 1.33/1.54 (define @t4028 () (or @t197 @t4027)) % 1.33/1.54 (define @t4029 () (or @t3795 @t3807 @t936)) % 1.33/1.54 (define @t4030 () (=> @t3816 @t943)) % 1.33/1.54 (define @t4031 () (forall @t946 @t4030)) % 1.33/1.54 (define @t4032 () (=> tptp.brelnall2 @t3989)) % 1.33/1.54 (define @t4033 () (=> tptp.brelnall1 @t4032)) % 1.33/1.54 (define @t4034 () (lambda @t9 @t1895)) % 1.33/1.54 (define @t4035 () (tptp.lam @t2 @t1 @t4034)) % 1.33/1.54 (define @t4036 () (tptp.in @t4035 @t1888)) % 1.33/1.54 (define @t4037 () (or @t1898 @t4036)) % 1.33/1.54 (define @t4038 () (or @t1898 @t929)) % 1.33/1.54 (define @t4039 () (=> tptp.lam2p @t4033)) % 1.33/1.54 (define @t4040 () (tptp.func @t2 @t1 @t4035)) % 1.33/1.54 (define @t4041 () (or @t1898 @t4040)) % 1.33/1.54 (define @t4042 () (or @t1898 @t925)) % 1.33/1.54 (define @t4043 () (=> tptp.lamp @t4039)) % 1.33/1.54 (define @t4044 () (= @t19 @t914)) % 1.33/1.54 (define @t4045 () (lambda @t135 @t4044)) % 1.33/1.54 (define @t4046 () (_ @t848 @t4045)) % 1.33/1.54 (define @t4047 () (_ @t884 @t4046)) % 1.33/1.54 (define @t4048 () (or @t1898 @t4047)) % 1.33/1.54 (define @t4049 () (=> tptp.lamProp @t4043)) % 1.33/1.54 (define @t4050 () (or @t3712 @t905)) % 1.33/1.54 (define @t4051 () (=> tptp.funcinfuncset @t4049)) % 1.33/1.54 (define @t4052 () (or @t2025 @t2024)) % 1.33/1.54 (define @t4053 () (or @t1890 @t4052)) % 1.33/1.54 (define @t4054 () (forall @t2027 @t4053)) % 1.33/1.54 (define @t4055 () (@list @t2023)) % 1.33/1.54 (define @t4056 () (forall @t4055 @t4053)) % 1.33/1.54 (define @t4057 () (forall @t4055 @t4052)) % 1.33/1.54 (define @t4058 () (or @t1890 @t4057)) % 1.33/1.54 (define @t4059 () (tptp.in @t1884 @t1)) % 1.33/1.54 (define @t4060 () (forall @t9 (or @t1795 @t4059))) % 1.33/1.54 (define @t4061 () (or @t3690 @t4060)) % 1.33/1.54 (define @t4062 () (or @t197 @t898)) % 1.33/1.54 (define @t4063 () (=> tptp.ap2p @t4051)) % 1.33/1.54 (define @t4064 () (or @t3690 @t885)) % 1.33/1.54 (define @t4065 () (=> tptp.infuncsetfunc @t4063)) % 1.33/1.54 (define @t4066 () (or @t2032 @t2031)) % 1.33/1.54 (define @t4067 () (or @t1904 @t4066)) % 1.33/1.54 (define @t4068 () (forall @t2034 @t4067)) % 1.33/1.54 (define @t4069 () (@list @t2030)) % 1.33/1.54 (define @t4070 () (forall @t4069 @t4067)) % 1.33/1.54 (define @t4071 () (forall @t4069 @t4066)) % 1.33/1.54 (define @t4072 () (or @t1904 @t4071)) % 1.33/1.54 (define @t4073 () (or @t3712 @t4060)) % 1.33/1.54 (define @t4074 () (=> tptp.app @t4065)) % 1.33/1.54 (define @t4075 () (or @t2038 @t2037)) % 1.33/1.54 (define @t4076 () (or @t1904 @t4075)) % 1.33/1.54 (define @t4077 () (forall @t2040 @t4076)) % 1.33/1.54 (define @t4078 () (@list @t2036)) % 1.33/1.54 (define @t4079 () (forall @t4078 @t4076)) % 1.33/1.54 (define @t4080 () (forall @t4078 @t4075)) % 1.33/1.54 (define @t4081 () (or @t1904 @t4080)) % 1.33/1.54 (define @t4082 () (lambda @t70 @t3862)) % 1.33/1.54 (define @t4083 () (tptp.dsetconstr @t1 @t4082)) % 1.33/1.54 (define @t4084 () (tptp.setunion @t4083)) % 1.33/1.54 (define @t4085 () (tptp.in @t4084 @t1)) % 1.33/1.54 (define @t4086 () (forall @t9 (or @t1795 @t4085))) % 1.33/1.54 (define @t4087 () (or @t3712 @t4086)) % 1.33/1.54 (define @t4088 () (or @t197 @t891)) % 1.33/1.54 (define @t4089 () (=> tptp.apProp @t4074)) % 1.33/1.54 (define @t4090 () (or @t2044 @t2043)) % 1.33/1.54 (define @t4091 () (or @t1904 @t4090)) % 1.33/1.54 (define @t4092 () (forall @t2046 @t4091)) % 1.33/1.54 (define @t4093 () (@list @t2042)) % 1.33/1.54 (define @t4094 () (forall @t4093 @t4091)) % 1.33/1.54 (define @t4095 () (forall @t4093 @t4090)) % 1.33/1.54 (define @t4096 () (or @t1904 @t4095)) % 1.33/1.54 (define @t4097 () (tptp.singleton @t4083)) % 1.33/1.54 (define @t4098 () (forall @t9 (or @t1795 @t4097))) % 1.33/1.54 (define @t4099 () (or @t3712 @t4098)) % 1.33/1.54 (define @t4100 () (or @t197 @t882)) % 1.33/1.54 (define @t4101 () (=> tptp.funcImageSingleton @t4089)) % 1.33/1.54 (define @t4102 () (_ @t67 @t289 @t383)) % 1.33/1.54 (define @t4103 () (lambda @t388 @t4102)) % 1.33/1.54 (define @t4104 () (tptp.dpsetconstr @t2 @t1 @t4103)) % 1.33/1.54 (define @t4105 () (tptp.in @t2050 @t4104)) % 1.33/1.54 (define @t4106 () (not @t4105)) % 1.33/1.54 (define @t4107 () (or @t4106 @t2048)) % 1.33/1.54 (define @t4108 () (not @t850)) % 1.33/1.54 (define @t4109 () (or @t4108 @t76)) % 1.33/1.54 (define @t4110 () (=> tptp.dpsetconstrER @t4101)) % 1.33/1.54 (define @t4111 () (or @t4106 @t2054)) % 1.33/1.54 (define @t4112 () (or @t4108 @t354)) % 1.33/1.54 (define @t4113 () (=> tptp.dpsetconstrEL2 @t4110)) % 1.33/1.54 (define @t4114 () (or @t4106 @t1794)) % 1.33/1.54 (define @t4115 () (or @t4108 @t7)) % 1.33/1.54 (define @t4116 () (=> tptp.dpsetconstrEL1 @t4113)) % 1.33/1.54 (define @t4117 () (or @t2060 @t2059 @t2058)) % 1.33/1.54 (define @t4118 () (or @t1795 @t4117)) % 1.33/1.54 (define @t4119 () (forall @t2062 @t4118)) % 1.33/1.54 (define @t4120 () (@list @t2057)) % 1.33/1.54 (define @t4121 () (forall @t4120 @t4118)) % 1.33/1.54 (define @t4122 () (forall @t4120 @t4117)) % 1.33/1.54 (define @t4123 () (or @t1795 @t4122)) % 1.33/1.54 (define @t4124 () (forall @t70 (or @t3790 @t2052 @t2048))) % 1.33/1.54 (define @t4125 () (or @t197 @t4124)) % 1.33/1.54 (define @t4126 () (or @t3790 @t4106 @t2048)) % 1.33/1.54 (define @t4127 () (or @t3795 @t4108 @t76)) % 1.33/1.54 (define @t4128 () (=> tptp.dpsetconstrERa @t4116)) % 1.33/1.54 (define @t4129 () (lambda @t135 @t2048)) % 1.33/1.54 (define @t4130 () (tptp.dpsetconstr @t2 @t1 @t4129)) % 1.33/1.54 (define @t4131 () (tptp.subset @t4130 @t1934)) % 1.33/1.54 (define @t4132 () (forall @t860 (_ @t3812 @t858))) % 1.33/1.54 (define @t4133 () (=> tptp.setOfPairsIsBReln @t4128)) % 1.33/1.54 (define @t4134 () (=> tptp.dpsetconstrSub @t4133)) % 1.33/1.54 (define @t4135 () (or @t2068 @t2067 @t2066)) % 1.33/1.54 (define @t4136 () (or @t1795 @t4135)) % 1.33/1.54 (define @t4137 () (forall @t2070 @t4136)) % 1.33/1.54 (define @t4138 () (@list @t2065)) % 1.33/1.54 (define @t4139 () (forall @t4138 @t4136)) % 1.33/1.54 (define @t4140 () (forall @t4138 @t4135)) % 1.33/1.54 (define @t4141 () (or @t1795 @t4140)) % 1.33/1.54 (define @t4142 () (forall @t70 (or @t3790 @t2612 @t2051))) % 1.33/1.54 (define @t4143 () (or @t197 @t4142)) % 1.33/1.54 (define @t4144 () (or @t3790 @t2612 @t4105)) % 1.33/1.54 (define @t4145 () (not @t76)) % 1.33/1.54 (define @t4146 () (or @t3795 @t4145 @t850)) % 1.33/1.54 (define @t4147 () (=> tptp.dpsetconstrI @t4134)) % 1.33/1.54 (define @t4148 () (_ tptp.kpair @t2073)) % 1.33/1.54 (define @t4149 () (= @t383 @t815)) % 1.33/1.54 (define @t4150 () (not @t687)) % 1.33/1.54 (define @t4151 () (or @t4150 @t4149)) % 1.33/1.54 (define @t4152 () (=> tptp.cartprodpairsurjEq @t4147)) % 1.33/1.54 (define @t4153 () (or @t2081 @t2080)) % 1.33/1.54 (define @t4154 () (or @t1795 @t4153)) % 1.33/1.54 (define @t4155 () (forall @t2083 @t4154)) % 1.33/1.54 (define @t4156 () (@list @t2079)) % 1.33/1.54 (define @t4157 () (forall @t4156 @t4154)) % 1.33/1.54 (define @t4158 () (forall @t4156 @t4153)) % 1.33/1.54 (define @t4159 () (or @t1795 @t4158)) % 1.33/1.54 (define @t4160 () (forall @t70 (or @t3790 @t2101))) % 1.33/1.54 (define @t4161 () (or @t197 @t4160)) % 1.33/1.54 (define @t4162 () (= @t19 @t810)) % 1.33/1.54 (define @t4163 () (or @t3795 @t4162)) % 1.33/1.54 (define @t4164 () (=> tptp.cartprodsndpairEq @t4152)) % 1.33/1.54 (define @t4165 () (or @t2087 @t2086)) % 1.33/1.54 (define @t4166 () (or @t1795 @t4165)) % 1.33/1.54 (define @t4167 () (forall @t2089 @t4166)) % 1.33/1.54 (define @t4168 () (@list @t2085)) % 1.33/1.54 (define @t4169 () (forall @t4168 @t4166)) % 1.33/1.54 (define @t4170 () (forall @t4168 @t4165)) % 1.33/1.54 (define @t4171 () (or @t1795 @t4170)) % 1.33/1.54 (define @t4172 () (forall @t70 (or @t3790 @t2139))) % 1.33/1.54 (define @t4173 () (or @t197 @t4172)) % 1.33/1.54 (define @t4174 () (= @t4 @t764)) % 1.33/1.54 (define @t4175 () (or @t3795 @t4174)) % 1.33/1.54 (define @t4176 () (=> tptp.cartprodfstpairEq @t4164)) % 1.33/1.54 (define @t4177 () (=> tptp.cartprodmempaircEq @t4176)) % 1.33/1.54 (define @t4178 () (not @t676)) % 1.33/1.54 (define @t4179 () (or @t4178 @t354)) % 1.33/1.54 (define @t4180 () (=> tptp.cartprodpairmemER @t4177)) % 1.33/1.54 (define @t4181 () (or @t4178 @t7)) % 1.33/1.54 (define @t4182 () (=> tptp.cartprodpairmemEL @t4180)) % 1.33/1.54 (define @t4183 () (or @t4150 @t820)) % 1.33/1.54 (define @t4184 () (=> tptp.cartprodsndin @t4182)) % 1.33/1.54 (define @t4185 () (not @t692)) % 1.33/1.54 (define @t4186 () (or @t4185 @t4149)) % 1.33/1.54 (define @t4187 () (=> tptp.kpairsurjEq @t4184)) % 1.33/1.54 (define @t4188 () (=> tptp.ksndpairEq @t4187)) % 1.33/1.54 (define @t4189 () (_ tptp.dsetconstr @t2106)) % 1.33/1.54 (define @t4190 () (or @t4185 @t807)) % 1.33/1.54 (define @t4191 () (=> tptp.ksndsingleton @t4188)) % 1.33/1.54 (define @t4192 () (not @t781)) % 1.33/1.54 (define @t4193 () (or @t4192 @t791)) % 1.33/1.54 (define @t4194 () (=> tptp.setukpairinjR @t4191)) % 1.33/1.54 (define @t4195 () (_ tptp.setadjoin @t1864)) % 1.33/1.54 (define @t4196 () (not @t776)) % 1.33/1.54 (define @t4197 () (or @t4196 @t791)) % 1.33/1.54 (define @t4198 () (=> tptp.setukpairinjR2 @t4194)) % 1.33/1.54 (define @t4199 () (not @t795)) % 1.33/1.54 (define @t4200 () (or @t4199 @t129)) % 1.33/1.54 (define @t4201 () (=> tptp.upairequniteq @t4198)) % 1.33/1.54 (define @t4202 () (not (= @t383 @t383))) % 1.33/1.54 (define @t4203 () (or @t2125 @t4202 @t791)) % 1.33/1.54 (define @t4204 () (not @t387)) % 1.33/1.54 (define @t4205 () (or @t4204 @t2122 @t4204 @t791)) % 1.33/1.54 (define @t4206 () (or @t2122 @t4204 @t791)) % 1.33/1.54 (define @t4207 () (forall @t1065 @t4206)) % 1.33/1.54 (define @t4208 () (forall @t2127 @t4207)) % 1.33/1.54 (define @t4209 () (forall (@list @t4 @t19 @t383 @t289) @t4206)) % 1.33/1.54 (define @t4210 () (or @t4196 @t4204 @t791)) % 1.33/1.54 (define @t4211 () (=> tptp.setukpairinjR1 @t4201)) % 1.33/1.54 (define @t4212 () (not (= @t19 @t19))) % 1.33/1.54 (define @t4213 () (or @t4212 @t2130)) % 1.33/1.54 (define @t4214 () (tptp.setadjoin @t1864 tptp.emptyset)) % 1.33/1.54 (define @t4215 () (= @t2121 @t4214)) % 1.33/1.54 (define @t4216 () (or @t282 @t282 @t4215)) % 1.33/1.54 (define @t4217 () (or @t282 @t4215)) % 1.33/1.54 (define @t4218 () (forall @t9 @t4217)) % 1.33/1.54 (define @t4219 () (forall @t70 @t4218)) % 1.33/1.54 (define @t4220 () (@list @t19 @t4)) % 1.33/1.54 (define @t4221 () (forall @t4220 @t4217)) % 1.33/1.54 (define @t4222 () (or @t282 @t788)) % 1.33/1.54 (define @t4223 () (=> tptp.setukpairinjR12 @t4211)) % 1.33/1.54 (define @t4224 () (or @t4212 @t2132)) % 1.33/1.54 (define @t4225 () (= @t1864 @t2119)) % 1.33/1.54 (define @t4226 () (or @t282 @t282 @t4225)) % 1.33/1.54 (define @t4227 () (or @t282 @t4225)) % 1.33/1.54 (define @t4228 () (forall @t9 @t4227)) % 1.33/1.54 (define @t4229 () (forall @t70 @t4228)) % 1.33/1.54 (define @t4230 () (forall @t4220 @t4227)) % 1.33/1.54 (define @t4231 () (= @t279 @t293)) % 1.33/1.54 (define @t4232 () (or @t282 @t4231)) % 1.33/1.54 (define @t4233 () (=> tptp.setukpairinjR11 @t4223)) % 1.33/1.54 (define @t4234 () (or @t4192 @t744)) % 1.33/1.54 (define @t4235 () (=> tptp.setukpairinjL @t4233)) % 1.33/1.54 (define @t4236 () (or @t4196 @t744)) % 1.33/1.54 (define @t4237 () (=> tptp.setukpairinjL2 @t4235)) % 1.33/1.54 (define @t4238 () (or @t4150 @t769)) % 1.33/1.54 (define @t4239 () (=> tptp.cartprodfstin @t4237)) % 1.33/1.54 (define @t4240 () (=> tptp.kfstpairEq @t4239)) % 1.33/1.54 (define @t4241 () (or @t3493 @t760)) % 1.33/1.54 (define @t4242 () (=> tptp.theprop @t4240)) % 1.33/1.54 (define @t4243 () (_ tptp.in @t1864)) % 1.33/1.54 (define @t4244 () (or @t4185 @t755)) % 1.33/1.54 (define @t4245 () (=> tptp.kfstsingleton @t4242)) % 1.33/1.54 (define @t4246 () (not @t747)) % 1.33/1.54 (define @t4247 () (or @t4246 @t744)) % 1.33/1.54 (define @t4248 () (=> tptp.setukpairinjL1 @t4245)) % 1.33/1.54 (define @t4249 () (= @t275 @t279)) % 1.33/1.54 (define @t4250 () (not @t4249)) % 1.33/1.54 (define @t4251 () (or @t4250 @t129)) % 1.33/1.54 (define @t4252 () (=> tptp.singletonsuniq @t4248)) % 1.33/1.54 (define @t4253 () (or @t2153 @t2152)) % 1.33/1.54 (define @t4254 () (or @t2163 @t4253 @t1997)) % 1.33/1.54 (define @t4255 () (forall @t2165 @t4254)) % 1.33/1.54 (define @t4256 () (@list @t2151)) % 1.33/1.54 (define @t4257 () (forall @t4256 @t4254)) % 1.33/1.54 (define @t4258 () (forall @t4256 @t4253)) % 1.33/1.54 (define @t4259 () (or @t2163 @t4258 @t1997)) % 1.33/1.54 (define @t4260 () (or @t2163 @t2174 @t3960)) % 1.33/1.54 (define @t4261 () (or @t2163 @t2174 @t716)) % 1.33/1.54 (define @t4262 () (not @t2175)) % 1.33/1.54 (define @t4263 () (=> @t2175 @t716)) % 1.33/1.54 (define @t4264 () (or @t197 @t317)) % 1.33/1.54 (define @t4265 () (forall @t9 (not @t308))) % 1.33/1.54 (define @t4266 () (not @t4265)) % 1.33/1.54 (define @t4267 () (=> @t309 @t3986)) % 1.33/1.54 (define @t4268 () (=> @t720 @t4267)) % 1.33/1.54 (define @t4269 () (forall @t311 @t4268)) % 1.33/1.54 (define @t4270 () (=> tptp.ex1I2 @t4252)) % 1.33/1.54 (define @t4271 () (@var "BOUND_VARIABLE_11943" $$unsorted)) % 1.33/1.54 (define @t4272 () (_ @t143 @t4271)) % 1.33/1.54 (define @t4273 () (@list @t4271)) % 1.33/1.54 (define @t4274 () (lambda @t4273 @t4272)) % 1.33/1.54 (define @t4275 () (tptp.dsetconstr @t2 @t4274)) % 1.33/1.54 (define @t4276 () (tptp.singleton @t4275)) % 1.33/1.54 (define @t4277 () (or @t1795 @t2159 @t2172 @t4276)) % 1.33/1.54 (define @t4278 () (_ @t143 @t4271)) % 1.33/1.54 (define @t4279 () (lambda @t4273 @t4278)) % 1.33/1.54 (define @t4280 () (_ @t155 @t4279)) % 1.33/1.54 (define @t4281 () (_ tptp.singleton @t4280)) % 1.33/1.54 (define @t4282 () (or @t197 @t317 @t2172 @t4281)) % 1.33/1.54 (define @t4283 () (or @t317 @t2172 @t4281)) % 1.33/1.54 (define @t4284 () (=> @t2171 @t4281)) % 1.33/1.54 (define @t4285 () (=> @t144 @t4284)) % 1.33/1.54 (define @t4286 () (=> @t2171 @t716)) % 1.33/1.54 (define @t4287 () (=> @t144 @t4286)) % 1.33/1.54 (define @t4288 () (=> @t7 @t4287)) % 1.33/1.54 (define @t4289 () (_ @t154 @t4)) % 1.33/1.54 (define @t4290 () (lambda @t9 @t4289)) % 1.33/1.54 (define @t4291 () (=> @t731 (_ @t3985 @t154))) % 1.33/1.54 (define @t4292 () (=> @t144 @t4291)) % 1.33/1.54 (define @t4293 () (=> @t7 @t4292)) % 1.33/1.54 (define @t4294 () (forall @t159 @t4293)) % 1.33/1.54 (define @t4295 () (=> tptp.ex1I @t4270)) % 1.33/1.54 (define @t4296 () (or @t3961 @t2175)) % 1.33/1.54 (define @t4297 () (or @t3963 @t2175)) % 1.33/1.54 (define @t4298 () (=> @t3986 @t309)) % 1.33/1.54 (define @t4299 () (forall @t311 @t4298)) % 1.33/1.54 (define @t4300 () (=> tptp.ex1E1 @t4295)) % 1.33/1.54 (define @t4301 () (=> tptp.singletonprop @t4300)) % 1.33/1.54 (define @t4302 () (= @t4 @t713)) % 1.33/1.54 (define @t4303 () (=> tptp.setunionsingleton @t4301)) % 1.33/1.54 (define @t4304 () (=> tptp.setunionsingleton2 @t4303)) % 1.33/1.54 (define @t4305 () (=> tptp.setunionsingleton1 @t4304)) % 1.33/1.54 (define @t4306 () (not @t44)) % 1.33/1.54 (define @t4307 () (or @t4306 @t2186)) % 1.33/1.54 (define @t4308 () (not @t698)) % 1.33/1.54 (define @t4309 () (or @t4308 @t1214)) % 1.33/1.54 (define @t4310 () (forall @t700 (not @t699))) % 1.33/1.54 (define @t4311 () (not @t4310)) % 1.33/1.54 (define @t4312 () (=> tptp.setunionE2 @t4305)) % 1.33/1.54 (define @t4313 () (or @t4150 @t692)) % 1.33/1.54 (define @t4314 () (=> tptp.cartprodmempair @t4312)) % 1.33/1.54 (define @t4315 () (or @t4150 @t2197)) % 1.33/1.54 (define @t4316 () (or @t2194 @t2193)) % 1.33/1.54 (define @t4317 () (or @t1795 @t4316)) % 1.33/1.54 (define @t4318 () (forall @t2196 @t4317)) % 1.33/1.54 (define @t4319 () (@list @t2192)) % 1.33/1.54 (define @t4320 () (forall @t4319 @t4317)) % 1.33/1.54 (define @t4321 () (forall @t4319 @t4316)) % 1.33/1.54 (define @t4322 () (or @t1795 @t4321)) % 1.33/1.54 (define @t4323 () (forall @t70 (or @t3790 (not (= @t383 @t2050))))) % 1.33/1.54 (define @t4324 () (or @t197 @t4323)) % 1.33/1.54 (define @t4325 () (not @t4323)) % 1.33/1.54 (define @t4326 () (and @t7 @t4325)) % 1.33/1.54 (define @t4327 () (forall @t9 (not @t4326))) % 1.33/1.54 (define @t4328 () (not @t4327)) % 1.33/1.54 (define @t4329 () (not @t681)) % 1.33/1.54 (define @t4330 () (or @t3795 @t4329)) % 1.33/1.54 (define @t4331 () (forall @t70 (not @t682))) % 1.33/1.54 (define @t4332 () (not @t4331)) % 1.33/1.54 (define @t4333 () (=> tptp.cartprodmempair1 @t4314)) % 1.33/1.54 (define @t4334 () (or @t2201 @t2200)) % 1.33/1.54 (define @t4335 () (or @t1795 @t4334)) % 1.33/1.54 (define @t4336 () (forall @t2203 @t4335)) % 1.33/1.54 (define @t4337 () (@list @t2199)) % 1.33/1.54 (define @t4338 () (forall @t4337 @t4335)) % 1.33/1.54 (define @t4339 () (forall @t4337 @t4334)) % 1.33/1.54 (define @t4340 () (or @t1795 @t4339)) % 1.33/1.54 (define @t4341 () (forall @t70 (or @t3790 @t2091))) % 1.33/1.54 (define @t4342 () (or @t197 @t4341)) % 1.33/1.54 (define @t4343 () (or @t3795 @t676)) % 1.33/1.54 (define @t4344 () (=> tptp.cartprodpairin @t4333)) % 1.33/1.54 (define @t4345 () (or @t2210 @t2209)) % 1.33/1.54 (define @t4346 () (or @t1795 @t4345)) % 1.33/1.54 (define @t4347 () (forall @t2212 @t4346)) % 1.33/1.54 (define @t4348 () (@list @t2208)) % 1.33/1.54 (define @t4349 () (forall @t4348 @t4346)) % 1.33/1.54 (define @t4350 () (forall @t4348 @t4345)) % 1.33/1.54 (define @t4351 () (or @t1795 @t4350)) % 1.33/1.54 (define @t4352 () (tptp.in @t2050 @t2207)) % 1.33/1.54 (define @t4353 () (forall @t70 (or @t3790 @t4352))) % 1.33/1.54 (define @t4354 () (or @t197 @t4353)) % 1.33/1.54 (define @t4355 () (or @t3795 @t670)) % 1.33/1.54 (define @t4356 () (=> tptp.ubforcartprodlem3 @t4344)) % 1.33/1.54 (define @t4357 () (or @t2216 @t2215)) % 1.33/1.54 (define @t4358 () (or @t1795 @t4357)) % 1.33/1.54 (define @t4359 () (forall @t2218 @t4358)) % 1.33/1.54 (define @t4360 () (@list @t2214)) % 1.33/1.54 (define @t4361 () (forall @t4360 @t4358)) % 1.33/1.54 (define @t4362 () (forall @t4360 @t4357)) % 1.33/1.54 (define @t4363 () (or @t1795 @t4362)) % 1.33/1.54 (define @t4364 () (tptp.in @t2121 @t2207)) % 1.33/1.54 (define @t4365 () (forall @t70 (or @t3790 @t4364))) % 1.33/1.54 (define @t4366 () (or @t197 @t4365)) % 1.33/1.54 (define @t4367 () (or @t3795 @t664)) % 1.33/1.54 (define @t4368 () (=> tptp.ubforcartprodlem2 @t4356)) % 1.33/1.54 (define @t4369 () (or @t2222 @t2221)) % 1.33/1.54 (define @t4370 () (or @t1795 @t4369)) % 1.33/1.54 (define @t4371 () (forall @t2224 @t4370)) % 1.33/1.54 (define @t4372 () (@list @t2220)) % 1.33/1.54 (define @t4373 () (forall @t4372 @t4370)) % 1.33/1.54 (define @t4374 () (forall @t4372 @t4369)) % 1.33/1.54 (define @t4375 () (or @t1795 @t4374)) % 1.33/1.54 (define @t4376 () (tptp.subset @t2121 @t2206)) % 1.33/1.54 (define @t4377 () (forall @t70 (or @t3790 @t4376))) % 1.33/1.54 (define @t4378 () (or @t197 @t4377)) % 1.33/1.54 (define @t4379 () (or @t3795 @t658)) % 1.33/1.54 (define @t4380 () (=> tptp.ubforcartprodlem1 @t4368)) % 1.33/1.54 (define @t4381 () (or @t2228 @t2227)) % 1.33/1.54 (define @t4382 () (or @t1795 @t4381)) % 1.33/1.54 (define @t4383 () (forall @t2230 @t4382)) % 1.33/1.54 (define @t4384 () (@list @t2226)) % 1.33/1.54 (define @t4385 () (forall @t4384 @t4382)) % 1.33/1.54 (define @t4386 () (forall @t4384 @t4381)) % 1.33/1.54 (define @t4387 () (or @t1795 @t4386)) % 1.33/1.54 (define @t4388 () (tptp.in @t2119 @t2206)) % 1.33/1.54 (define @t4389 () (forall @t70 (or @t3790 @t4388))) % 1.33/1.54 (define @t4390 () (or @t197 @t4389)) % 1.33/1.54 (define @t4391 () (or @t3795 @t653)) % 1.33/1.54 (define @t4392 () (=> tptp.upairinpowunion @t4380)) % 1.33/1.54 (define @t4393 () (or @t2234 @t2233)) % 1.33/1.54 (define @t4394 () (or @t1795 @t4393)) % 1.33/1.54 (define @t4395 () (forall @t2236 @t4394)) % 1.33/1.54 (define @t4396 () (@list @t2232)) % 1.33/1.54 (define @t4397 () (forall @t4396 @t4394)) % 1.33/1.54 (define @t4398 () (forall @t4396 @t4393)) % 1.33/1.54 (define @t4399 () (or @t1795 @t4398)) % 1.33/1.54 (define @t4400 () (tptp.subset @t2119 @t2205)) % 1.33/1.54 (define @t4401 () (forall @t70 (or @t3790 @t4400))) % 1.33/1.54 (define @t4402 () (or @t197 @t4401)) % 1.33/1.54 (define @t4403 () (or @t3795 @t648)) % 1.33/1.54 (define @t4404 () (=> tptp.upairsubunion @t4392)) % 1.33/1.54 (define @t4405 () (not @t295)) % 1.33/1.54 (define @t4406 () (or @t4405 @t744 @t2238)) % 1.33/1.54 (define @t4407 () (or @t744 @t2238)) % 1.33/1.54 (define @t4408 () (=> tptp.upairset2E @t4404)) % 1.33/1.54 (define @t4409 () (or @t197 @t645)) % 1.33/1.54 (define @t4410 () (=> tptp.singletoninpowunion @t4408)) % 1.33/1.54 (define @t4411 () (or @t197 @t641)) % 1.33/1.54 (define @t4412 () (=> tptp.singletoninpowerset @t4410)) % 1.33/1.54 (define @t4413 () (or @t197 @t637)) % 1.33/1.54 (define @t4414 () (=> tptp.singletonsubset @t4412)) % 1.33/1.54 (define @t4415 () (=> tptp.kpairp @t4414)) % 1.33/1.54 (define @t4416 () (=> tptp.kpairiskpair @t4415)) % 1.33/1.54 (define @t4417 () (=> tptp.setukpairIR @t4416)) % 1.33/1.54 (define @t4418 () (=> tptp.setukpairIL @t4417)) % 1.33/1.54 (define @t4419 () (=> tptp.secondinupair @t4418)) % 1.33/1.54 (define @t4420 () (or @t7 @t6 @t612)) % 1.33/1.54 (define @t4421 () (not @t437)) % 1.33/1.54 (define @t4422 () (not @t197)) % 1.33/1.54 (define @t4423 () (=> tptp.symdiffIneg2 @t4419)) % 1.33/1.54 (define @t4424 () (or @t197 @t437 @t612)) % 1.33/1.54 (define @t4425 () (=> tptp.symdiffIneg1 @t4423)) % 1.33/1.54 (define @t4426 () (or @t7 @t437 @t602)) % 1.33/1.54 (define @t4427 () (=> tptp.symdiffI2 @t4425)) % 1.33/1.54 (define @t4428 () (or @t197 @t6 @t602)) % 1.33/1.54 (define @t4429 () (=> tptp.symdiffI1 @t4427)) % 1.33/1.54 (define @t4430 () (or @t612 @t2268 @t2267)) % 1.33/1.54 (define @t4431 () (or @t2268 @t2267)) % 1.33/1.54 (define @t4432 () (and @t1795 @t2261 @t3610)) % 1.33/1.54 (define @t4433 () (and @t1794 @t2263 @t3610)) % 1.33/1.54 (define @t4434 () (or @t4433 @t4432)) % 1.33/1.54 (define @t4435 () (or @t4433 @t4432 false)) % 1.33/1.54 (define @t4436 () (and @t1795 @t2261 @t1061)) % 1.33/1.54 (define @t4437 () (and @t1794 @t2263 @t1061)) % 1.33/1.54 (define @t4438 () (or @t173 @t4437 @t4436 @t173)) % 1.33/1.54 (define @t4439 () (or @t4437 @t4436 @t173)) % 1.33/1.54 (define @t4440 () (and @t197 @t6 @t1061)) % 1.33/1.54 (define @t4441 () (and @t7 @t437 @t1061)) % 1.33/1.54 (define @t4442 () (or @t4441 @t4440 @t173)) % 1.33/1.54 (define @t4443 () (and @t6 @t1061)) % 1.33/1.54 (define @t4444 () (not @t500)) % 1.33/1.54 (define @t4445 () (=> tptp.symdiffE @t4429)) % 1.33/1.54 (define @t4446 () (= tptp.emptyset @t568)) % 1.33/1.54 (define @t4447 () (not @t4446)) % 1.33/1.54 (define @t4448 () (or @t4447 @t422)) % 1.33/1.54 (define @t4449 () (=> tptp.setminusSubset1 @t4445)) % 1.33/1.54 (define @t4450 () (=> tptp.setminusLsub @t4449)) % 1.33/1.54 (define @t4451 () (or @t437 @t581)) % 1.33/1.54 (define @t4452 () (=> tptp.setminusIRneg @t4450)) % 1.33/1.54 (define @t4453 () (or @t7 @t581)) % 1.33/1.54 (define @t4454 () (=> tptp.setminusILneg @t4452)) % 1.33/1.54 (define @t4455 () (or @t569 @t6 @t197)) % 1.33/1.54 (define @t4456 () (or @t6 @t197)) % 1.33/1.54 (define @t4457 () (not @t581)) % 1.33/1.54 (define @t4458 () (=> tptp.setminusELneg @t4454)) % 1.33/1.54 (define @t4459 () (or @t569 @t197 @t6)) % 1.33/1.54 (define @t4460 () (or @t197 @t6)) % 1.33/1.54 (define @t4461 () (=> tptp.setminusERneg @t4458)) % 1.33/1.54 (define @t4462 () (or @t441 @t4446)) % 1.33/1.54 (define @t4463 () (=> tptp.setminusSubset2 @t4461)) % 1.33/1.54 (define @t4464 () (or @t581 @t437)) % 1.33/1.54 (define @t4465 () (=> tptp.setminusER @t4463)) % 1.33/1.54 (define @t4466 () (or @t581 @t7)) % 1.33/1.54 (define @t4467 () (=> tptp.setminusEL @t4465)) % 1.33/1.54 (define @t4468 () (or @t197 @t6 @t569)) % 1.33/1.54 (define @t4469 () (=> tptp.setminusI @t4467)) % 1.33/1.54 (define @t4470 () (=> tptp.bs114d @t4469)) % 1.33/1.54 (define @t4471 () (= @t2 @t517)) % 1.33/1.54 (define @t4472 () (not @t4471)) % 1.33/1.54 (define @t4473 () (or @t4472 @t422)) % 1.33/1.54 (define @t4474 () (=> tptp.binintersectSubset1 @t4470)) % 1.33/1.54 (define @t4475 () (= @t1 @t517)) % 1.33/1.54 (define @t4476 () (not @t427)) % 1.33/1.54 (define @t4477 () (or @t4476 @t4475)) % 1.33/1.54 (define @t4478 () (=> tptp.binintersectSubset4 @t4474)) % 1.33/1.54 (define @t4479 () (_ tptp.subset @t2288)) % 1.33/1.54 (define @t4480 () (=> tptp.binintersectRsub @t4478)) % 1.33/1.54 (define @t4481 () (= tptp.emptyset @t517)) % 1.33/1.54 (define @t4482 () (or @t2302 @t4481)) % 1.33/1.54 (define @t4483 () (or @t197 @t437)) % 1.33/1.54 (define @t4484 () (forall @t9 (not @t545))) % 1.33/1.54 (define @t4485 () (not @t4484)) % 1.33/1.54 (define @t4486 () (=> tptp.disjointsetsI1 @t4480)) % 1.33/1.54 (define @t4487 () (not @t518)) % 1.33/1.54 (define @t4488 () (or @t4487 @t6)) % 1.33/1.54 (define @t4489 () (=> tptp.binintersectER @t4486)) % 1.33/1.54 (define @t4490 () (not @t4475)) % 1.33/1.54 (define @t4491 () (or @t4490 @t427)) % 1.33/1.54 (define @t4492 () (=> tptp.binintersectSubset3 @t4489)) % 1.33/1.54 (define @t4493 () (or @t441 @t4471)) % 1.33/1.54 (define @t4494 () (=> tptp.binintersectSubset2 @t4492)) % 1.33/1.54 (define @t4495 () (=> tptp.binintersectLsub @t4494)) % 1.33/1.54 (define @t4496 () (or @t4487 @t7)) % 1.33/1.54 (define @t4497 () (=> tptp.binintersectEL @t4495)) % 1.33/1.54 (define @t4498 () (not @t524)) % 1.33/1.54 (define @t4499 () (not @t526)) % 1.33/1.54 (define @t4500 () (or @t4499 @t4498 @t523)) % 1.33/1.54 (define @t4501 () (=> tptp.binintersectSubset5 @t4497)) % 1.33/1.54 (define @t4502 () (or @t197 @t437 @t518)) % 1.33/1.54 (define @t4503 () (=> tptp.binintersectI @t4501)) % 1.33/1.54 (define @t4504 () (=> tptp.binunionRsub @t4503)) % 1.33/1.54 (define @t4505 () (=> tptp.binunionLsub @t4504)) % 1.33/1.54 (define @t4506 () (not @t495)) % 1.33/1.54 (define @t4507 () (or @t4506 @t7 @t6)) % 1.33/1.54 (define @t4508 () (=> tptp.binunionE @t4505)) % 1.33/1.54 (define @t4509 () (and @t2261 @t3610)) % 1.33/1.54 (define @t4510 () (and @t1794 @t3610)) % 1.33/1.54 (define @t4511 () (or @t2322 @t4510 @t4509)) % 1.33/1.54 (define @t4512 () (or @t2322 @t4510 @t4509 false)) % 1.33/1.54 (define @t4513 () (and @t2261 @t1061)) % 1.33/1.54 (define @t4514 () (and @t1794 @t1061)) % 1.33/1.54 (define @t4515 () (or @t173 @t2322 @t4514 @t4513 @t173)) % 1.33/1.54 (define @t4516 () (or @t2322 @t4514 @t4513 @t173)) % 1.33/1.54 (define @t4517 () (forall @t179 @t4516)) % 1.33/1.54 (define @t4518 () (forall @t245 @t4517)) % 1.33/1.54 (define @t4519 () (and @t7 @t1061)) % 1.33/1.54 (define @t4520 () (or @t4506 @t4519 @t4443 @t173)) % 1.33/1.54 (define @t4521 () (or @t4519 @t4443 @t173)) % 1.33/1.54 (define @t4522 () (=> tptp.binunionEcases @t4508)) % 1.33/1.54 (define @t4523 () (or @t437 @t495)) % 1.33/1.54 (define @t4524 () (=> tptp.binunionIR @t4522)) % 1.33/1.54 (define @t4525 () (=> tptp.upairset2IR @t4524)) % 1.33/1.54 (define @t4526 () (or @t197 @t495)) % 1.33/1.54 (define @t4527 () (=> tptp.binunionIL @t4525)) % 1.33/1.54 (define @t4528 () (tptp.subset @t3959 @t2)) % 1.33/1.54 (define @t4529 () (=> tptp.sepSubset @t4527)) % 1.33/1.54 (define @t4530 () (tptp.in @t3959 @t1632)) % 1.33/1.54 (define @t4531 () (=> tptp.sepInPowerset @t4529)) % 1.33/1.54 (define @t4532 () (or @t441 @t485)) % 1.33/1.54 (define @t4533 () (=> tptp.powersetsubset @t4531)) % 1.33/1.54 (define @t4534 () (=> tptp.inPowerset @t4533)) % 1.33/1.54 (define @t4535 () (not @t35)) % 1.33/1.54 (define @t4536 () (or @t4535 @t427)) % 1.33/1.54 (define @t4537 () (=> tptp.powersetE1 @t4534)) % 1.33/1.54 (define @t4538 () (or @t4476 @t35)) % 1.33/1.54 (define @t4539 () (=> tptp.powersetI1 @t4537)) % 1.33/1.54 (define @t4540 () (not @t475)) % 1.33/1.54 (define @t4541 () (or @t4540 @t196)) % 1.33/1.54 (define @t4542 () (=> tptp.subsetemptysetimpeq @t4539)) % 1.33/1.54 (define @t4543 () (or @t441 @t4476 @t3)) % 1.33/1.54 (define @t4544 () (=> tptp.setextsub @t4542)) % 1.33/1.54 (define @t4545 () (or @t441 @t469)) % 1.33/1.54 (define @t4546 () (=> tptp.subset2powerset @t4544)) % 1.33/1.54 (define @t4547 () (or @t441 @t465)) % 1.33/1.54 (define @t4548 () (=> tptp.setadjoinSub2 @t4546)) % 1.33/1.54 (define @t4549 () (=> tptp.setadjoinSub @t4548)) % 1.33/1.54 (define @t4550 () (not @t455)) % 1.33/1.54 (define @t4551 () (or @t441 @t4550 @t454)) % 1.33/1.54 (define @t4552 () (=> tptp.subsetTrans @t4549)) % 1.33/1.54 (define @t4553 () (=> tptp.subsetRefl @t4552)) % 1.33/1.54 (define @t4554 () (@list @t1 @t4)) % 1.33/1.54 (define @t4555 () (or @t2263 @t2261)) % 1.33/1.54 (define @t4556 () (not (= @t1 @t1))) % 1.33/1.54 (define @t4557 () (or @t2263 @t2261 @t4556)) % 1.33/1.54 (define @t4558 () (or @t445 @t1795 @t2261 @t445)) % 1.33/1.54 (define @t4559 () (or @t1795 @t2261 @t445)) % 1.33/1.54 (define @t4560 () (forall @t64 @t4559)) % 1.33/1.54 (define @t4561 () (forall @t4554 @t4560)) % 1.33/1.54 (define @t4562 () (forall (@list @t1 @t4 @t2) @t4559)) % 1.33/1.54 (define @t4563 () (or @t197 @t6 @t445)) % 1.33/1.54 (define @t4564 () (=> tptp.notequalI2 @t4553)) % 1.33/1.54 (define @t4565 () (or @t2353 @t4556)) % 1.33/1.54 (define @t4566 () (or @t445 @t2270 @t445)) % 1.33/1.54 (define @t4567 () (or @t2270 @t445)) % 1.33/1.54 (define @t4568 () (forall @t64 @t4567)) % 1.33/1.54 (define @t4569 () (forall @t41 @t4568)) % 1.33/1.54 (define @t4570 () (@list @t1 @t2)) % 1.33/1.54 (define @t4571 () (forall @t4570 @t4567)) % 1.33/1.54 (define @t4572 () (or @t422 @t445)) % 1.33/1.54 (define @t4573 () (=> tptp.notequalI1 @t4564)) % 1.33/1.54 (define @t4574 () (or @t197 @t6 @t441)) % 1.33/1.54 (define @t4575 () (=> tptp.notsubsetI @t4573)) % 1.33/1.54 (define @t4576 () (or @t441 @t6 @t197)) % 1.33/1.54 (define @t4577 () (=> tptp.subsetE2 @t4575)) % 1.33/1.54 (define @t4578 () (or @t441 @t197 @t6)) % 1.33/1.54 (define @t4579 () (=> tptp.subsetE @t4577)) % 1.33/1.54 (define @t4580 () (=> tptp.emptysetsubset @t4579)) % 1.33/1.54 (define @t4581 () (or @t2361 @t422)) % 1.33/1.54 (define @t4582 () (=> tptp.subsetI2 @t4580)) % 1.33/1.54 (define @t4583 () (or @t4556 @t2353)) % 1.33/1.54 (define @t4584 () (or @t445 @t445 @t2270)) % 1.33/1.54 (define @t4585 () (or @t445 @t2270)) % 1.33/1.54 (define @t4586 () (forall @t64 @t4585)) % 1.33/1.54 (define @t4587 () (forall @t41 @t4586)) % 1.33/1.54 (define @t4588 () (forall @t4570 @t4585)) % 1.33/1.54 (define @t4589 () (or @t445 @t422)) % 1.33/1.54 (define @t4590 () (=> tptp.eqimpsubset1 @t4582)) % 1.33/1.54 (define @t4591 () (or @t445 @t445 @t2296)) % 1.33/1.54 (define @t4592 () (or @t445 @t2296)) % 1.33/1.54 (define @t4593 () (forall @t64 @t4592)) % 1.33/1.54 (define @t4594 () (forall @t41 @t4593)) % 1.33/1.54 (define @t4595 () (forall @t4570 @t4592)) % 1.33/1.54 (define @t4596 () (or @t445 @t427)) % 1.33/1.54 (define @t4597 () (=> tptp.eqimpsubset2 @t4590)) % 1.33/1.54 (define @t4598 () (=> tptp.subsetI1 @t4597)) % 1.33/1.54 (define @t4599 () (or @t2263 @t2263 @t2368)) % 1.33/1.54 (define @t4600 () (forall @t9 @t4599)) % 1.33/1.54 (define @t4601 () (not @t4600)) % 1.33/1.54 (define @t4602 () (or @t4556 @t4601 (= @t2364 @t2366))) % 1.33/1.54 (define @t4603 () (= (tptp.dsetconstr @t2 @t2363) @t2366)) % 1.33/1.54 (define @t4604 () (not (forall @t9 (or @t1795 @t2263 @t2368)))) % 1.33/1.54 (define @t4605 () (or @t445 @t445 @t4604 @t4603)) % 1.33/1.54 (define @t4606 () (or @t445 @t4604 @t4603)) % 1.33/1.54 (define @t4607 () (forall @t64 @t4606)) % 1.33/1.54 (define @t4608 () (forall @t2372 @t4607)) % 1.33/1.54 (define @t4609 () (forall (@list @t1 @t2363 @t2365 @t2) @t4606)) % 1.33/1.54 (define @t4610 () (@list @t2 @t1 @t2363 @t2365)) % 1.33/1.54 (define @t4611 () (or @t4604 @t4603)) % 1.33/1.54 (define @t4612 () (or @t445 @t4611)) % 1.33/1.54 (define @t4613 () (forall @t4610 @t4612)) % 1.33/1.54 (define @t4614 () (@list @t2363 @t2365)) % 1.33/1.54 (define @t4615 () (forall @t4614 @t4612)) % 1.33/1.54 (define @t4616 () (forall @t4614 @t4611)) % 1.33/1.54 (define @t4617 () (or @t445 @t4616)) % 1.33/1.54 (define @t4618 () (= @t2158 @t2397)) % 1.33/1.54 (define @t4619 () (forall @t9 (or @t1795 @t2263 @t4618))) % 1.33/1.54 (define @t4620 () (not @t4619)) % 1.33/1.54 (define @t4621 () (forall @t378 (or @t4620 (= @t1996 (tptp.dsetconstr @t1 @t368))))) % 1.33/1.54 (define @t4622 () (lambda @t9 @t2397)) % 1.33/1.54 (define @t4623 () (tptp.dsetconstr @t1 @t4622)) % 1.33/1.54 (define @t4624 () (= @t3959 @t4623)) % 1.33/1.54 (define @t4625 () (or @t4620 @t4624)) % 1.33/1.54 (define @t4626 () (or @t4620 @t412)) % 1.33/1.54 (define @t4627 () (or @t197 @t2263 @t4618)) % 1.33/1.54 (define @t4628 () (or @t2263 @t4618)) % 1.33/1.54 (define @t4629 () (not (= @t4 @t4))) % 1.33/1.54 (define @t4630 () (or @t2263 @t4629 @t4618)) % 1.33/1.54 (define @t4631 () (= @t2158 @t2375)) % 1.33/1.54 (define @t4632 () (or @t282 @t3790 @t282 @t4631)) % 1.33/1.54 (define @t4633 () (or @t3790 @t282 @t4631)) % 1.33/1.54 (define @t4634 () (or @t3795 @t282 @t374)) % 1.33/1.54 (define @t4635 () (or @t282 @t374)) % 1.33/1.54 (define @t4636 () (=> tptp.dsetconstr__Cong @t4598)) % 1.33/1.54 (define @t4637 () (or @t2376 (= @t2374 @t19))) % 1.33/1.54 (define @t4638 () (forall @t70 @t4637)) % 1.33/1.54 (define @t4639 () (not @t4638)) % 1.33/1.54 (define @t4640 () (or @t2168 (= @t2378 @t19))) % 1.33/1.54 (define @t4641 () (forall @t70 @t4640)) % 1.33/1.54 (define @t4642 () (not @t4641)) % 1.33/1.54 (define @t4643 () (or @t2384 @t2381 @t2379 @t4642 @t2377 @t4639)) % 1.33/1.54 (define @t4644 () (or @t2377 @t4639)) % 1.33/1.54 (define @t4645 () (or @t2379 @t4642)) % 1.33/1.54 (define @t4646 () (or @t2384 @t4645 @t4644 @t2381)) % 1.33/1.54 (define @t4647 () (forall @t2385 @t4646)) % 1.33/1.54 (define @t4648 () (forall (@list @t2378 @t2374) @t4646)) % 1.33/1.54 (define @t4649 () (forall (@list @t2374) @t4644)) % 1.33/1.54 (define @t4650 () (forall (@list @t2378) @t4645)) % 1.33/1.54 (define @t4651 () (or @t2384 @t4650 @t4649 @t2381)) % 1.33/1.54 (define @t4652 () (tptp.descr @t4622)) % 1.33/1.54 (define @t4653 () (tptp.descr @t3958)) % 1.33/1.54 (define @t4654 () (= @t4653 @t4652)) % 1.33/1.54 (define @t4655 () (or @t2384 @t2402 @t2398 @t4654)) % 1.33/1.54 (define @t4656 () (or @t2384 @t2402 @t2398 @t404)) % 1.33/1.54 (define @t4657 () (or @t2402 @t2398 @t404)) % 1.33/1.54 (define @t4658 () (=> @t2399 @t404)) % 1.33/1.54 (define @t4659 () (not @t2403)) % 1.33/1.54 (define @t4660 () (=> @t2403 @t4658)) % 1.33/1.54 (define @t4661 () (not @t369)) % 1.33/1.54 (define @t4662 () (or @t4661 @t2396)) % 1.33/1.54 (define @t4663 () (not @t373)) % 1.33/1.54 (define @t4664 () (or @t4663 @t129)) % 1.33/1.54 (define @t4665 () (_ @t370 @t19)) % 1.33/1.54 (define @t4666 () (not @t4665)) % 1.33/1.54 (define @t4667 () (or @t4666 @t129)) % 1.33/1.54 (define @t4668 () (forall @t70 @t4667)) % 1.33/1.54 (define @t4669 () (not @t4668)) % 1.33/1.54 (define @t4670 () (_ @t370 @t4)) % 1.33/1.54 (define @t4671 () (not @t4670)) % 1.33/1.54 (define @t4672 () (or @t4671 @t4669)) % 1.33/1.54 (define @t4673 () (forall @t9 @t4672)) % 1.33/1.54 (define @t4674 () (not @t4673)) % 1.33/1.54 (define @t4675 () (lambda @t150 @t2403)) % 1.33/1.54 (define @t4676 () (_ @t4675 @t370)) % 1.33/1.54 (define @t4677 () (=> @t4676 @t404)) % 1.33/1.54 (define @t4678 () (or @t317 @t2401)) % 1.33/1.54 (define @t4679 () (_ @t145 @t19)) % 1.33/1.54 (define @t4680 () (not @t4679)) % 1.33/1.54 (define @t4681 () (or @t4680 @t129)) % 1.33/1.54 (define @t4682 () (forall @t70 @t4681)) % 1.33/1.54 (define @t4683 () (not @t4682)) % 1.33/1.54 (define @t4684 () (_ @t145 @t4)) % 1.33/1.54 (define @t4685 () (not @t4684)) % 1.33/1.54 (define @t4686 () (or @t4685 @t4683)) % 1.33/1.54 (define @t4687 () (forall @t9 @t4686)) % 1.33/1.54 (define @t4688 () (not @t4687)) % 1.33/1.54 (define @t4689 () (_ @t4675 @t145)) % 1.33/1.54 (define @t4690 () (=> @t4689 @t4677)) % 1.33/1.54 (define @t4691 () (or @t4212 @t2382)) % 1.33/1.54 (define @t4692 () (or @t282 @t282 @t4631)) % 1.33/1.54 (define @t4693 () (or @t282 @t4631)) % 1.33/1.54 (define @t4694 () (forall @t9 @t4693)) % 1.33/1.54 (define @t4695 () (forall @t70 @t4694)) % 1.33/1.54 (define @t4696 () (forall @t4220 @t4693)) % 1.33/1.54 (define @t4697 () (=> @t376 @t4690)) % 1.33/1.54 (define @t4698 () (forall @t378 @t4697)) % 1.33/1.54 (define @t4699 () (and @t144 @t2400)) % 1.33/1.54 (define @t4700 () (forall @t9 (not @t4699))) % 1.33/1.54 (define @t4701 () (not @t4700)) % 1.33/1.54 (define @t4702 () (=> tptp.descr__Cong @t4636)) % 1.33/1.54 (define @t4703 () (or @t2168 (= @t2392 @t19))) % 1.33/1.54 (define @t4704 () (forall @t70 @t4703)) % 1.33/1.54 (define @t4705 () (not @t4704)) % 1.33/1.54 (define @t4706 () (or @t2393 @t4705 @t2391 @t2390 @t2389)) % 1.33/1.54 (define @t4707 () (or @t2391 @t2390 @t2389)) % 1.33/1.54 (define @t4708 () (or @t2393 @t4705)) % 1.33/1.54 (define @t4709 () (or @t4708 @t4707)) % 1.33/1.54 (define @t4710 () (forall @t2394 @t4709)) % 1.33/1.54 (define @t4711 () (forall (@list @t2392 @t2388 @t2387) @t4709)) % 1.33/1.54 (define @t4712 () (forall (@list @t2388 @t2387) @t4707)) % 1.33/1.54 (define @t4713 () (forall (@list @t2392) @t4708)) % 1.33/1.54 (define @t4714 () (or @t4713 @t4712)) % 1.33/1.54 (define @t4715 () (=> @t4689 @t346)) % 1.33/1.54 (define @t4716 () (forall @t150 @t4715)) % 1.33/1.54 (define @t4717 () (=> tptp.exuEu @t4702)) % 1.33/1.54 (define @t4718 () (=> tptp.omega__Cong @t4717)) % 1.33/1.54 (define @t4719 () (tptp.setunion @t1)) % 1.33/1.54 (define @t4720 () (or @t4556 (= @t4719 @t4719))) % 1.33/1.54 (define @t4721 () (= @t2187 @t4719)) % 1.33/1.54 (define @t4722 () (or @t445 @t445 @t4721)) % 1.33/1.54 (define @t4723 () (or @t445 @t4721)) % 1.33/1.54 (define @t4724 () (forall @t64 @t4723)) % 1.33/1.54 (define @t4725 () (forall @t41 @t4724)) % 1.33/1.54 (define @t4726 () (forall @t4570 @t4723)) % 1.33/1.54 (define @t4727 () (or @t445 @t398)) % 1.33/1.54 (define @t4728 () (=> tptp.setunion__Cong @t4718)) % 1.33/1.54 (define @t4729 () (or @t4556 (= @t2328 @t2328))) % 1.33/1.54 (define @t4730 () (= @t1632 @t2328)) % 1.33/1.54 (define @t4731 () (or @t445 @t445 @t4730)) % 1.33/1.54 (define @t4732 () (or @t445 @t4730)) % 1.33/1.54 (define @t4733 () (forall @t64 @t4732)) % 1.33/1.54 (define @t4734 () (forall @t41 @t4733)) % 1.33/1.54 (define @t4735 () (forall @t4570 @t4732)) % 1.33/1.54 (define @t4736 () (or @t445 @t394)) % 1.33/1.54 (define @t4737 () (=> tptp.powerset__Cong @t4728)) % 1.33/1.54 (define @t4738 () (@var "BOUND_VARIABLE_10851" $$unsorted)) % 1.33/1.54 (define @t4739 () (@list @t19 @t4738)) % 1.33/1.54 (define @t4740 () (tptp.setadjoin @t19 @t4738)) % 1.33/1.54 (define @t4741 () (or @t4212 (= @t4740 @t4740))) % 1.33/1.54 (define @t4742 () (= @t4740 (tptp.setadjoin @t4 @t4738))) % 1.33/1.54 (define @t4743 () (or @t282 @t282 @t4742)) % 1.33/1.54 (define @t4744 () (or @t282 @t4742)) % 1.33/1.54 (define @t4745 () (forall @t9 @t4744)) % 1.33/1.54 (define @t4746 () (forall @t4739 @t4745)) % 1.33/1.54 (define @t4747 () (forall (@list @t19 @t4738 @t4) @t4744)) % 1.33/1.54 (define @t4748 () (forall (@list @t4 @t19 @t4738) @t4744)) % 1.33/1.54 (define @t4749 () (@list @t4738)) % 1.33/1.54 (define @t4750 () (forall @t4749 @t4744)) % 1.33/1.54 (define @t4751 () (forall @t4749 @t4742)) % 1.33/1.54 (define @t4752 () (or @t282 @t4751)) % 1.33/1.54 (define @t4753 () (tptp.setadjoin @t4 @t383)) % 1.33/1.54 (define @t4754 () (tptp.setadjoin @t19 @t383)) % 1.33/1.54 (define @t4755 () (= @t4754 @t4753)) % 1.33/1.54 (define @t4756 () (forall @t756 @t4755)) % 1.33/1.54 (define @t4757 () (or @t4202 (= @t4753 @t4754))) % 1.33/1.54 (define @t4758 () (tptp.setadjoin @t4 @t289)) % 1.33/1.54 (define @t4759 () (= @t4758 @t4754)) % 1.33/1.54 (define @t4760 () (or @t4204 @t4204 @t4759)) % 1.33/1.54 (define @t4761 () (or @t4204 @t4759)) % 1.33/1.54 (define @t4762 () (forall @t1065 @t4761)) % 1.33/1.54 (define @t4763 () (forall @t756 @t4762)) % 1.33/1.54 (define @t4764 () (forall (@list @t383 @t289) @t4761)) % 1.33/1.54 (define @t4765 () (or @t4204 @t386)) % 1.33/1.54 (define @t4766 () (=> tptp.setadjoin__Cong @t4737)) % 1.33/1.54 (define @t4767 () (=> tptp.emptyset__Cong @t4766)) % 1.33/1.54 (define @t4768 () (= @t4689 @t4676)) % 1.33/1.54 (define @t4769 () (=> @t376 @t4768)) % 1.33/1.54 (define @t4770 () (forall @t378 @t4769)) % 1.33/1.54 (define @t4771 () (=> tptp.exu__Cong @t4767)) % 1.33/1.54 (define @t4772 () (=> tptp.exuE3u @t4771)) % 1.33/1.54 (define @t4773 () (@var "BOUND_VARIABLE_10725" $$unsorted)) % 1.33/1.54 (define @t4774 () (@list @t1 @t4773)) % 1.33/1.54 (define @t4775 () (tptp.in @t4773 @t1)) % 1.33/1.54 (define @t4776 () (or @t4556 (= @t4775 @t4775))) % 1.33/1.54 (define @t4777 () (= (tptp.in @t4773 @t2) @t4775)) % 1.33/1.54 (define @t4778 () (or @t445 @t445 @t4777)) % 1.33/1.54 (define @t4779 () (or @t445 @t4777)) % 1.33/1.54 (define @t4780 () (forall @t64 @t4779)) % 1.33/1.54 (define @t4781 () (forall @t4774 @t4780)) % 1.33/1.54 (define @t4782 () (forall (@list @t1 @t4773 @t2) @t4779)) % 1.33/1.54 (define @t4783 () (forall (@list @t2 @t1 @t4773) @t4779)) % 1.33/1.54 (define @t4784 () (@list @t4773)) % 1.33/1.54 (define @t4785 () (forall @t4784 @t4779)) % 1.33/1.54 (define @t4786 () (forall @t4784 @t4777)) % 1.33/1.54 (define @t4787 () (or @t445 @t4786)) % 1.33/1.54 (define @t4788 () (= @t2169 @t2054)) % 1.33/1.54 (define @t4789 () (forall @t70 @t4788)) % 1.33/1.54 (define @t4790 () (or @t4212 @t4788)) % 1.33/1.54 (define @t4791 () (= @t1794 @t2054)) % 1.33/1.54 (define @t4792 () (or @t282 @t282 @t4791)) % 1.33/1.54 (define @t4793 () (or @t282 @t4791)) % 1.33/1.54 (define @t4794 () (forall @t9 @t4793)) % 1.33/1.54 (define @t4795 () (forall @t70 @t4794)) % 1.33/1.54 (define @t4796 () (forall @t4220 @t4793)) % 1.33/1.54 (define @t4797 () (or @t282 @t360)) % 1.33/1.54 (define @t4798 () (=> tptp.in__Cong @t4772)) % 1.33/1.54 (define @t4799 () (@var "BOUND_VARIABLE_10688" $$unsorted)) % 1.33/1.54 (define @t4800 () (@list @t1 @t4799)) % 1.33/1.54 (define @t4801 () (tptp.in @t4799 @t1)) % 1.33/1.54 (define @t4802 () (not @t4801)) % 1.33/1.54 (define @t4803 () (or @t4802 @t4801)) % 1.33/1.54 (define @t4804 () (or @t4556 @t4802 @t4801)) % 1.33/1.54 (define @t4805 () (not (tptp.in @t4799 @t2))) % 1.33/1.54 (define @t4806 () (or @t445 @t445 @t4805 @t4801)) % 1.33/1.54 (define @t4807 () (or @t445 @t4805 @t4801)) % 1.33/1.54 (define @t4808 () (forall @t64 @t4807)) % 1.33/1.54 (define @t4809 () (forall @t4800 @t4808)) % 1.33/1.54 (define @t4810 () (forall (@list @t1 @t4799 @t2) @t4807)) % 1.33/1.54 (define @t4811 () (@list @t2 @t1 @t4799)) % 1.33/1.54 (define @t4812 () (or @t4805 @t4801)) % 1.33/1.54 (define @t4813 () (or @t445 @t4812)) % 1.33/1.54 (define @t4814 () (forall @t4811 @t4813)) % 1.33/1.54 (define @t4815 () (@list @t4799)) % 1.33/1.54 (define @t4816 () (forall @t4815 @t4813)) % 1.33/1.54 (define @t4817 () (forall @t4815 @t4812)) % 1.33/1.54 (define @t4818 () (or @t445 @t4817)) % 1.33/1.54 (define @t4819 () (or @t2170 @t2054)) % 1.33/1.54 (define @t4820 () (forall @t70 @t4819)) % 1.33/1.54 (define @t4821 () (or @t4212 @t2170 @t2054)) % 1.33/1.54 (define @t4822 () (or @t282 @t282 @t1795 @t2054)) % 1.33/1.54 (define @t4823 () (or @t282 @t1795 @t2054)) % 1.33/1.54 (define @t4824 () (forall @t9 @t4823)) % 1.33/1.54 (define @t4825 () (forall @t70 @t4824)) % 1.33/1.54 (define @t4826 () (forall @t4220 @t4823)) % 1.33/1.54 (define @t4827 () (or @t282 @t197 @t354)) % 1.33/1.54 (define @t4828 () (=> tptp.inCongP @t4798)) % 1.33/1.54 (define @t4829 () (= @t2406 @t19)) % 1.33/1.54 (define @t4830 () (forall @t70 (= @t4829 @t2167))) % 1.33/1.54 (define @t4831 () (not @t4830)) % 1.33/1.54 (define @t4832 () (or @t4831 @t2403)) % 1.33/1.54 (define @t4833 () (forall @t2407 @t4832)) % 1.33/1.54 (define @t4834 () (@list @t2406)) % 1.33/1.54 (define @t4835 () (forall @t4834 @t4832)) % 1.33/1.54 (define @t4836 () (forall @t4834 @t4831)) % 1.33/1.54 (define @t4837 () (or @t4836 @t2403)) % 1.33/1.54 (define @t4838 () (= @t153 @t129)) % 1.33/1.54 (define @t4839 () (=> @t265 @t4689)) % 1.33/1.54 (define @t4840 () (forall @t150 @t4839)) % 1.33/1.54 (define @t4841 () (=> tptp.exuI2 @t4828)) % 1.33/1.54 (define @t4842 () (@list @t2411)) % 1.33/1.54 (define @t4843 () (forall @t4842 @t2413)) % 1.33/1.54 (define @t4844 () (forall @t4842 @t2412)) % 1.33/1.54 (define @t4845 () (or @t4844 @t2410 @t2403)) % 1.33/1.54 (define @t4846 () (or @t2521 @t2410 @t2403)) % 1.33/1.54 (define @t4847 () (=> @t2409 @t2403)) % 1.33/1.54 (define @t4848 () (=> @t346 @t4689)) % 1.33/1.54 (define @t4849 () (forall @t9 @t317)) % 1.33/1.54 (define @t4850 () (not @t4849)) % 1.33/1.54 (define @t4851 () (=> @t186 @t4848)) % 1.33/1.54 (define @t4852 () (forall @t150 @t4851)) % 1.33/1.54 (define @t4853 () (=> tptp.exuI3 @t4841)) % 1.33/1.54 (define @t4854 () (=> @t169 @t4689)) % 1.33/1.54 (define @t4855 () (forall @t150 @t4854)) % 1.33/1.54 (define @t4856 () (=> tptp.exuI1 @t4853)) % 1.33/1.54 (define @t4857 () (forall @t9 (or @t1795 @t2158))) % 1.33/1.54 (define @t4858 () (not @t4857)) % 1.33/1.54 (define @t4859 () (or @t197 @t144)) % 1.33/1.54 (define @t4860 () (forall @t9 (not @t318))) % 1.33/1.54 (define @t4861 () (not @t4860)) % 1.33/1.54 (define @t4862 () (=> tptp.notdallE @t4856)) % 1.33/1.54 (define @t4863 () (=> tptp.notdexE @t4862)) % 1.33/1.54 (define @t4864 () (or @t3455 @t2417)) % 1.33/1.54 (define @t4865 () (tptp.prop2set @t173)) % 1.33/1.54 (define @t4866 () (tptp.set2prop @t4865)) % 1.33/1.54 (define @t4867 () (or @t1061 @t1061 @t4866)) % 1.33/1.54 (define @t4868 () (or @t1061 @t4866)) % 1.33/1.54 (define @t4869 () (or @t1061 @t339)) % 1.33/1.54 (define @t4870 () (=> tptp.prop2set2propI @t4863)) % 1.33/1.54 (define @t4871 () (or @t3455 @t2419)) % 1.33/1.54 (define @t4872 () (tptp.in tptp.emptyset @t4865)) % 1.33/1.54 (define @t4873 () (or @t1061 @t1061 @t4872)) % 1.33/1.54 (define @t4874 () (or @t1061 @t4872)) % 1.33/1.54 (define @t4875 () (or @t1061 @t336)) % 1.33/1.54 (define @t4876 () (=> tptp.prop2setI @t4870)) % 1.33/1.54 (define @t4877 () (=> tptp.quantDeMorgan4 @t4876)) % 1.33/1.54 (define @t4878 () (=> tptp.quantDeMorgan3 @t4877)) % 1.33/1.54 (define @t4879 () (=> tptp.quantDeMorgan2 @t4878)) % 1.33/1.54 (define @t4880 () (=> tptp.quantDeMorgan1 @t4879)) % 1.33/1.54 (define @t4881 () (or @t16 @t144)) % 1.33/1.54 (define @t4882 () (=> tptp.vacuousDall @t4880)) % 1.33/1.54 (define @t4883 () (or @t2427 @t2426)) % 1.33/1.54 (define @t4884 () (or @t4883 @t2428)) % 1.33/1.54 (define @t4885 () (forall @t2430 @t4884)) % 1.33/1.54 (define @t4886 () (@list @t2425)) % 1.33/1.54 (define @t4887 () (forall @t4886 @t4884)) % 1.33/1.54 (define @t4888 () (forall @t4886 @t4883)) % 1.33/1.54 (define @t4889 () (or @t4888 @t2428)) % 1.33/1.54 (define @t4890 () (= tptp.emptyset @t3959)) % 1.33/1.54 (define @t4891 () (not @t4890)) % 1.33/1.54 (define @t4892 () (or @t2174 @t4891)) % 1.33/1.54 (define @t4893 () (= tptp.emptyset @t306)) % 1.33/1.54 (define @t4894 () (not @t4893)) % 1.33/1.54 (define @t4895 () (or @t2174 @t4894)) % 1.33/1.54 (define @t4896 () (=> tptp.emptyE1 @t4882)) % 1.33/1.54 (define @t4897 () (=> tptp.upairsetIR @t4896)) % 1.33/1.54 (define @t4898 () (=> tptp.upairsetIL @t4897)) % 1.33/1.54 (define @t4899 () (=> tptp.upairsetE @t4898)) % 1.33/1.54 (define @t4900 () (not @t276)) % 1.33/1.54 (define @t4901 () (or @t4900 @t280)) % 1.33/1.54 (define @t4902 () (=> tptp.singletonsswitch @t4899)) % 1.33/1.54 (define @t4903 () (or @t4212 @t2443)) % 1.33/1.54 (define @t4904 () (or @t282 @t282 @t2439)) % 1.33/1.54 (define @t4905 () (or @t282 @t2439)) % 1.33/1.54 (define @t4906 () (forall @t9 @t4905)) % 1.33/1.54 (define @t4907 () (forall @t70 @t4906)) % 1.33/1.54 (define @t4908 () (forall @t4220 @t4905)) % 1.33/1.54 (define @t4909 () (or @t282 @t276)) % 1.33/1.54 (define @t4910 () (=> tptp.eqinunit @t4902)) % 1.33/1.54 (define @t4911 () (or @t129 @t281)) % 1.33/1.54 (define @t4912 () (=> tptp.notinsingleton @t4910)) % 1.33/1.54 (define @t4913 () (or @t4900 @t129)) % 1.33/1.54 (define @t4914 () (=> tptp.uniqinunit @t4912)) % 1.33/1.54 (define @t4915 () (not @t196)) % 1.33/1.54 (define @t4916 () (not @t198)) % 1.33/1.54 (define @t4917 () (_ @t1622 @t2)) % 1.33/1.54 (define @t4918 () (=> @t4917 @t270)) % 1.33/1.54 (define @t4919 () (forall @t64 @t4918)) % 1.33/1.54 (define @t4920 () (=> tptp.nonemptyImpWitness @t4914)) % 1.33/1.54 (define @t4921 () (or @t2168 (= @t2454 @t19))) % 1.33/1.54 (define @t4922 () (forall @t70 @t4921)) % 1.33/1.54 (define @t4923 () (not @t4922)) % 1.33/1.54 (define @t4924 () (or @t2458 @t2455 @t4923)) % 1.33/1.54 (define @t4925 () (or @t2455 @t4923)) % 1.33/1.54 (define @t4926 () (or @t4925 @t2458)) % 1.33/1.54 (define @t4927 () (forall @t2459 @t4926)) % 1.33/1.54 (define @t4928 () (@list @t2454)) % 1.33/1.54 (define @t4929 () (forall @t4928 @t4926)) % 1.33/1.54 (define @t4930 () (forall @t4928 @t4925)) % 1.33/1.54 (define @t4931 () (or @t4930 @t2458)) % 1.33/1.54 (define @t4932 () (=> @t4689 @t265)) % 1.33/1.54 (define @t4933 () (forall @t150 @t4932)) % 1.33/1.54 (define @t4934 () (=> tptp.exuE2 @t4920)) % 1.33/1.54 (define @t4935 () (or @t197 @t260)) % 1.33/1.54 (define @t4936 () (=> tptp.subPowSU @t4934)) % 1.33/1.54 (define @t4937 () (or @t4306 @t2469)) % 1.33/1.54 (define @t4938 () (and @t3610 @t2469)) % 1.33/1.54 (define @t4939 () (or @t4938 false)) % 1.33/1.54 (define @t4940 () (and @t1061 @t2469)) % 1.33/1.54 (define @t4941 () (or @t173 @t4940 @t173)) % 1.33/1.54 (define @t4942 () (or @t4940 @t173)) % 1.33/1.54 (define @t4943 () (or @t173 @t2468)) % 1.33/1.54 (define @t4944 () (not @t39)) % 1.33/1.54 (define @t4945 () (or @t437 @t4944)) % 1.33/1.54 (define @t4946 () (forall @t41 @t4945)) % 1.33/1.54 (define @t4947 () (or @t173 @t4946)) % 1.33/1.54 (define @t4948 () (or @t173 @t4945)) % 1.33/1.54 (define @t4949 () (or @t437 @t4944 @t173)) % 1.33/1.54 (define @t4950 () (=> tptp.setunionE @t4936)) % 1.33/1.54 (define @t4951 () (or @t437 @t4944 @t44)) % 1.33/1.54 (define @t4952 () (=> tptp.setunionI @t4950)) % 1.33/1.54 (define @t4953 () (or @t4535 @t437 @t7)) % 1.33/1.54 (define @t4954 () (or @t437 @t7)) % 1.33/1.54 (define @t4955 () (=> tptp.powersetE @t4952)) % 1.33/1.54 (define @t4956 () (=> tptp.emptyInPowerset @t4955)) % 1.33/1.54 (define @t4957 () (=> tptp.emptyinPowerset @t4956)) % 1.33/1.54 (define @t4958 () (or @t2481 @t35)) % 1.33/1.54 (define @t4959 () (=> tptp.powersetI @t4957)) % 1.33/1.54 (define @t4960 () (_ @t155 @t2485)) % 1.33/1.54 (define @t4961 () (= @t2 @t4960)) % 1.33/1.54 (define @t4962 () (=> tptp.setoftrueEq @t4959)) % 1.33/1.54 (define @t4963 () (not @t26)) % 1.33/1.54 (define @t4964 () (or @t4963 @t129 @t21)) % 1.33/1.54 (define @t4965 () (or @t129 @t21)) % 1.33/1.54 (define @t4966 () (=> tptp.setadjoinOr @t4962)) % 1.33/1.54 (define @t4967 () (or @t4963 @t129 @t2169)) % 1.33/1.54 (define @t4968 () (and @t2169 @t3610)) % 1.33/1.54 (define @t4969 () (and @t129 @t3610)) % 1.33/1.54 (define @t4970 () (or @t4969 @t4968)) % 1.33/1.54 (define @t4971 () (or @t4969 @t4968 false)) % 1.33/1.54 (define @t4972 () (and @t2169 @t1061)) % 1.33/1.54 (define @t4973 () (and @t129 @t1061)) % 1.33/1.54 (define @t4974 () (or @t173 @t4973 @t4972 @t173)) % 1.33/1.54 (define @t4975 () (or @t4973 @t4972 @t173)) % 1.33/1.54 (define @t4976 () (and @t21 @t1061)) % 1.33/1.54 (define @t4977 () (or @t4973 @t4976 @t173)) % 1.33/1.54 (define @t4978 () (=> @t129 @t173)) % 1.33/1.54 (define @t4979 () (=> tptp.setadjoinE @t4966)) % 1.33/1.54 (define @t4980 () (or @t3424 @t26)) % 1.33/1.54 (define @t4981 () (=> tptp.setadjoinIR @t4979)) % 1.33/1.54 (define @t4982 () (=> tptp.emptyinunitempty @t4981)) % 1.33/1.54 (define @t4983 () (=> tptp.setadjoinIL @t4982)) % 1.33/1.54 (define @t4984 () (not @t381)) % 1.33/1.54 (define @t4985 () (or @t2503 @t4984)) % 1.33/1.54 (define @t4986 () (not (tptp.in @t2502 @t2))) % 1.33/1.54 (define @t4987 () (or @t4915 @t4986 @t4915)) % 1.33/1.54 (define @t4988 () (or @t4986 @t4915)) % 1.33/1.54 (define @t4989 () (forall @t64 @t4988)) % 1.33/1.54 (define @t4990 () (forall @t2504 @t4989)) % 1.33/1.54 (define @t4991 () (forall (@list @t2502 @t2) @t4988)) % 1.33/1.54 (define @t4992 () (forall (@list @t2 @t2502) @t4988)) % 1.33/1.54 (define @t4993 () (forall @t2504 @t4988)) % 1.33/1.54 (define @t4994 () (forall @t2504 @t4986)) % 1.33/1.54 (define @t4995 () (or @t4994 @t4915)) % 1.33/1.54 (define @t4996 () (not @t2451)) % 1.33/1.54 (define @t4997 () (=> @t89 @t4917)) % 1.33/1.54 (define @t4998 () (forall @t64 @t4997)) % 1.33/1.54 (define @t4999 () (=> tptp.nonemptyI1 @t4983)) % 1.33/1.54 (define @t5000 () (lambda @t70 @t2167)) % 1.33/1.54 (define @t5001 () (tptp.dsetconstr @t2 @t5000)) % 1.33/1.54 (define @t5002 () (= tptp.emptyset @t5001)) % 1.33/1.54 (define @t5003 () (not @t5002)) % 1.33/1.54 (define @t5004 () (or @t1795 @t2159 @t5003)) % 1.33/1.54 (define @t5005 () (= tptp.emptyset @t156)) % 1.33/1.54 (define @t5006 () (not @t5005)) % 1.33/1.54 (define @t5007 () (or @t197 @t317 @t5006)) % 1.33/1.54 (define @t5008 () (=> @t144 @t5006)) % 1.33/1.54 (define @t5009 () (not (= @t156 tptp.emptyset))) % 1.33/1.54 (define @t5010 () (_ @t1622 @t156)) % 1.33/1.54 (define @t5011 () (=> @t144 @t5010)) % 1.33/1.54 (define @t5012 () (=> @t7 @t5011)) % 1.33/1.54 (define @t5013 () (forall @t159 @t5012)) % 1.33/1.54 (define @t5014 () (=> tptp.nonemptyI @t4999)) % 1.33/1.54 (define @t5015 () (=> @t4917 @t89)) % 1.33/1.54 (define @t5016 () (forall @t64 @t5015)) % 1.33/1.54 (define @t5017 () (=> tptp.nonemptyE1 @t5014)) % 1.33/1.54 (define @t5018 () (tptp.in @t4 @t5001)) % 1.33/1.54 (define @t5019 () (= @t2158 @t5018)) % 1.33/1.54 (define @t5020 () (or @t1795 @t5019)) % 1.33/1.54 (define @t5021 () (= @t144 @t157)) % 1.33/1.54 (define @t5022 () (or @t197 @t5021)) % 1.33/1.54 (define @t5023 () (=> tptp.setbeta @t5017)) % 1.33/1.54 (define @t5024 () (=> tptp.noeltsimpempty @t5023)) % 1.33/1.54 (define @t5025 () (=> tptp.emptyI @t5024)) % 1.33/1.54 (define @t5026 () (=> @t2480 @t3)) % 1.33/1.54 (define @t5027 () (=> tptp.setext @t5025)) % 1.33/1.54 (define @t5028 () (or @t2168 (= @t2519 @t19))) % 1.33/1.54 (define @t5029 () (forall @t70 @t5028)) % 1.33/1.54 (define @t5030 () (not @t5029)) % 1.33/1.54 (define @t5031 () (or @t2522 @t2520 @t5030)) % 1.33/1.54 (define @t5032 () (or @t2520 @t5030)) % 1.33/1.54 (define @t5033 () (or @t5032 @t2522)) % 1.33/1.54 (define @t5034 () (forall @t2523 @t5033)) % 1.33/1.54 (define @t5035 () (@list @t2519)) % 1.33/1.54 (define @t5036 () (forall @t5035 @t5033)) % 1.33/1.54 (define @t5037 () (forall @t5035 @t5032)) % 1.33/1.54 (define @t5038 () (or @t5037 @t2522)) % 1.33/1.54 (define @t5039 () (=> @t4689 @t186)) % 1.33/1.54 (define @t5040 () (forall @t150 @t5039)) % 1.33/1.54 (define @t5041 () (=> tptp.exuE3e @t5027)) % 1.33/1.54 (define @t5042 () (=> tptp.notinemptyset @t5041)) % 1.33/1.54 (define @t5043 () (=> tptp.emptysetimpfalse @t5042)) % 1.33/1.54 (define @t5044 () (or @t173 @t173)) % 1.33/1.54 (define @t5045 () (=> tptp.emptysetE @t5043)) % 1.33/1.54 (define @t5046 () (or @t2530 false)) % 1.33/1.54 (define @t5047 () (tptp.in @t4 @t4865)) % 1.33/1.54 (define @t5048 () (not @t5047)) % 1.33/1.54 (define @t5049 () (or @t173 @t5048 @t173)) % 1.33/1.54 (define @t5050 () (or @t5048 @t173)) % 1.33/1.54 (define @t5051 () (forall @t179 @t5050)) % 1.33/1.54 (define @t5052 () (forall @t9 @t5051)) % 1.33/1.54 (define @t5053 () (forall (@list @t4 @t173) @t5050)) % 1.33/1.54 (define @t5054 () (not @t175)) % 1.33/1.54 (define @t5055 () (or @t5054 @t173)) % 1.33/1.54 (define @t5056 () (=> tptp.prop2setE @t5045)) % 1.33/1.54 (define @t5057 () (=> @t4689 @t169)) % 1.33/1.54 (define @t5058 () (forall @t150 @t5057)) % 1.33/1.54 (define @t5059 () (=> tptp.exuE1 @t5056)) % 1.33/1.54 (define @t5060 () (not @t5018)) % 1.33/1.54 (define @t5061 () (or @t5060 @t2158)) % 1.33/1.54 (define @t5062 () (not @t157)) % 1.33/1.54 (define @t5063 () (or @t5062 @t144)) % 1.33/1.54 (define @t5064 () (=> tptp.dsetconstrER @t5059)) % 1.33/1.54 (define @t5065 () (or @t5060 @t1794)) % 1.33/1.54 (define @t5066 () (or @t5062 @t7)) % 1.33/1.54 (define @t5067 () (=> tptp.dsetconstrEL @t5064)) % 1.33/1.54 (define @t5068 () (or @t1795 @t2159 @t5018)) % 1.33/1.54 (define @t5069 () (or @t197 @t317 @t157)) % 1.33/1.54 (define @t5070 () (=> tptp.dsetconstrI @t5067)) % 1.33/1.54 (define @t5071 () (or @t2168 (= @t2540 @t19))) % 1.33/1.54 (define @t5072 () (forall @t70 @t5071)) % 1.33/1.54 (define @t5073 () (not @t5072)) % 1.33/1.54 (define @t5074 () (or @t2542 @t2541 @t5073)) % 1.33/1.54 (define @t5075 () (or @t2541 @t5073)) % 1.33/1.54 (define @t5076 () (or @t5075 @t2542)) % 1.33/1.54 (define @t5077 () (forall @t2543 @t5076)) % 1.33/1.54 (define @t5078 () (@list @t2540)) % 1.33/1.54 (define @t5079 () (forall @t5078 @t5076)) % 1.33/1.54 (define @t5080 () (forall @t5078 @t5075)) % 1.33/1.54 (define @t5081 () (or @t5080 @t2542)) % 1.33/1.54 (define @t5082 () (_ @t143 @t4653)) % 1.33/1.54 (define @t5083 () (or @t2402 @t5082)) % 1.33/1.54 (define @t5084 () (or @t2402 @t147)) % 1.33/1.54 (define @t5085 () (=> @t4689 @t147)) % 1.33/1.54 (define @t5086 () (forall @t150 @t5085)) % 1.33/1.54 (define @t5087 () (=> tptp.descrp @t5070)) % 1.33/1.54 (define @t5088 () (and @t2593 @t2586 @t2582 @t2570)) % 1.33/1.54 (define @t5089 () (forall @t41 (not @t5088))) % 1.33/1.54 (define @t5090 () (not @t5089)) % 1.33/1.54 (define @t5091 () (@list @t2565)) % 1.33/1.54 (define @t5092 () (forall @t5091 @t2569)) % 1.33/1.54 (define @t5093 () (forall @t5091 @t2566)) % 1.33/1.54 (define @t5094 () (or @t2568 @t5093 @t2564)) % 1.33/1.54 (define @t5095 () (forall @t9 @t2561)) % 1.33/1.54 (define @t5096 () (or @t2568 @t5095 @t2564)) % 1.33/1.54 (define @t5097 () (not @t5095)) % 1.33/1.54 (define @t5098 () (and @t2567 @t5097)) % 1.33/1.54 (define @t5099 () (not @t109)) % 1.33/1.54 (define @t5100 () (not @t110)) % 1.33/1.54 (define @t5101 () (or @t5100 @t5099 @t2559 @t2555)) % 1.33/1.54 (define @t5102 () (and @t110 @t109 @t2558 @t2554)) % 1.33/1.54 (define @t5103 () (forall @t112 (not @t5102))) % 1.33/1.54 (define @t5104 () (not @t5103)) % 1.33/1.54 (define @t5105 () (or @t2548 @t2547)) % 1.33/1.54 (define @t5106 () (or @t2551 @t5105 @t2549)) % 1.33/1.54 (define @t5107 () (forall @t2553 @t5106)) % 1.33/1.54 (define @t5108 () (@list @t2546)) % 1.33/1.54 (define @t5109 () (forall @t5108 @t5106)) % 1.33/1.54 (define @t5110 () (forall @t5108 @t5105)) % 1.33/1.54 (define @t5111 () (or @t2551 @t5110 @t2549)) % 1.33/1.54 (define @t5112 () (tptp.in @t19 @t93)) % 1.33/1.54 (define @t5113 () (forall @t70 (or (not @t5112) @t2557))) % 1.33/1.54 (define @t5114 () (not @t100)) % 1.33/1.54 (define @t5115 () (or @t5114 @t5113 @t94)) % 1.33/1.54 (define @t5116 () (or @t5113 @t94)) % 1.33/1.54 (define @t5117 () (not @t97)) % 1.33/1.54 (define @t5118 () (or @t5117 @t96)) % 1.33/1.54 (define @t5119 () (not @t105)) % 1.33/1.54 (define @t5120 () (not @t96)) % 1.33/1.54 (define @t5121 () (or @t5120 @t5119)) % 1.33/1.54 (define @t5122 () (forall @t70 (not @t106))) % 1.33/1.54 (define @t5123 () (not @t5122)) % 1.33/1.54 (define @t5124 () (forall @t9 @t5099)) % 1.33/1.54 (define @t5125 () (not @t5124)) % 1.33/1.54 (define @t5126 () (or @t5099 @t7)) % 1.33/1.54 (define @t5127 () (or @t2574 @t2573)) % 1.33/1.54 (define @t5128 () (or @t2577 @t2576)) % 1.33/1.54 (define @t5129 () (or @t2579 @t2563 @t5128 @t5127)) % 1.33/1.54 (define @t5130 () (forall @t2581 @t5129)) % 1.33/1.54 (define @t5131 () (forall (@list @t2575 @t2572) @t5129)) % 1.33/1.54 (define @t5132 () (forall (@list @t2572) @t5127)) % 1.33/1.54 (define @t5133 () (forall (@list @t2575) @t5128)) % 1.33/1.54 (define @t5134 () (or @t2579 @t2563 @t5133 @t5132)) % 1.33/1.54 (define @t5135 () (tptp.in @t4 @t95)) % 1.33/1.54 (define @t5136 () (forall @t9 (or (not @t5135) @t2560))) % 1.33/1.54 (define @t5137 () (forall @t9 (or @t2561 @t5135))) % 1.33/1.54 (define @t5138 () (not @t124)) % 1.33/1.54 (define @t5139 () (or @t5138 @t5100 @t5137 @t5136)) % 1.33/1.54 (define @t5140 () (or @t5137 @t5136)) % 1.33/1.54 (define @t5141 () (not @t120)) % 1.33/1.54 (define @t5142 () (or @t5141 @t109)) % 1.33/1.54 (define @t5143 () (or @t5099 @t120)) % 1.33/1.54 (define @t5144 () (or @t197 @t3424 @t2585 @t129)) % 1.33/1.54 (define @t5145 () (=> @t2584 @t129)) % 1.33/1.54 (define @t5146 () (or @t5138 @t130)) % 1.33/1.54 (define @t5147 () (or @t2590 @t2589)) % 1.33/1.54 (define @t5148 () (or @t2579 @t5147)) % 1.33/1.54 (define @t5149 () (forall @t2592 @t5148)) % 1.33/1.54 (define @t5150 () (@list @t2588)) % 1.33/1.54 (define @t5151 () (forall @t5150 @t5148)) % 1.33/1.54 (define @t5152 () (forall @t5150 @t5147)) % 1.33/1.54 (define @t5153 () (or @t2579 @t5152)) % 1.33/1.54 (define @t5154 () (or @t5138 @t2567)) % 1.33/1.54 (define @t5155 () (=> tptp.wellorderingAx @t5087)) % 1.33/1.54 (define @t5156 () (@list @t2601)) % 1.33/1.54 (define @t5157 () (forall @t5156 @t2603)) % 1.33/1.54 (define @t5158 () (forall @t5156 @t2602)) % 1.33/1.54 (define @t5159 () (or @t5158 @t2600)) % 1.33/1.54 (define @t5160 () (or @t4944 @t2599)) % 1.33/1.54 (define @t5161 () (and @t39 @t2598)) % 1.33/1.54 (define @t5162 () (forall @t41 (not @t5161))) % 1.33/1.54 (define @t5163 () (not @t5162)) % 1.33/1.54 (define @t5164 () (or @t437 @t197)) % 1.33/1.54 (define @t5165 () (forall @t9 (not @t84))) % 1.33/1.54 (define @t5166 () (not @t5165)) % 1.33/1.54 (define @t5167 () (=> tptp.foundationAx @t5155)) % 1.33/1.54 (define @t5168 () (= @t6 @t2607)) % 1.33/1.54 (define @t5169 () (not @t68)) % 1.33/1.54 (define @t5170 () (or @t3424 @t5169)) % 1.33/1.54 (define @t5171 () (forall @t70 (not @t69))) % 1.33/1.54 (define @t5172 () (not @t5171)) % 1.33/1.54 (define @t5173 () (or @t197 @t2616)) % 1.33/1.54 (define @t5174 () (_ @t75 @t2610)) % 1.33/1.54 (define @t5175 () (not @t5174)) % 1.33/1.54 (define @t5176 () (or @t5175 @t2613)) % 1.33/1.54 (define @t5177 () (or @t4145 @t2611)) % 1.33/1.54 (define @t5178 () (_ @t77 @t19)) % 1.33/1.54 (define @t5179 () (not @t5178)) % 1.33/1.54 (define @t5180 () (or @t5179 @t2611)) % 1.33/1.54 (define @t5181 () (forall @t70 @t5180)) % 1.33/1.54 (define @t5182 () (not @t5181)) % 1.33/1.54 (define @t5183 () (_ @t77 @t2610)) % 1.33/1.54 (define @t5184 () (not @t5183)) % 1.33/1.54 (define @t5185 () (or @t5184 @t5182)) % 1.33/1.54 (define @t5186 () (forall @t2615 @t5185)) % 1.33/1.54 (define @t5187 () (not @t5186)) % 1.33/1.54 (define @t5188 () (not (_ @t143 @t2610))) % 1.33/1.54 (define @t5189 () (or @t2168 (= @t2610 @t19))) % 1.33/1.54 (define @t5190 () (forall @t70 @t5189)) % 1.33/1.54 (define @t5191 () (not @t5190)) % 1.33/1.54 (define @t5192 () (or @t5188 @t5191)) % 1.33/1.54 (define @t5193 () (forall @t2615 @t5192)) % 1.33/1.54 (define @t5194 () (not @t5193)) % 1.33/1.54 (define @t5195 () (=> @t7 (_ @t4675 @t77))) % 1.33/1.54 (define @t5196 () (forall @t9 @t5195)) % 1.33/1.54 (define @t5197 () (=> @t5196 @t74)) % 1.33/1.54 (define @t5198 () (forall @t81 @t5197)) % 1.33/1.54 (define @t5199 () (=> tptp.replAx @t5167)) % 1.33/1.54 (define @t5200 () (or @t2622 @t2621)) % 1.33/1.54 (define @t5201 () (or @t2630 @t2628 @t5200)) % 1.33/1.54 (define @t5202 () (forall @t2632 @t5201)) % 1.33/1.54 (define @t5203 () (@list @t2620)) % 1.33/1.54 (define @t5204 () (forall @t5203 @t5201)) % 1.33/1.54 (define @t5205 () (forall @t5203 @t5200)) % 1.33/1.54 (define @t5206 () (or @t2630 @t2628 @t5205)) % 1.33/1.54 (define @t5207 () (forall @t9 (or @t2626 @t1794))) % 1.33/1.54 (define @t5208 () (not @t61)) % 1.33/1.54 (define @t5209 () (or @t5208 @t2628 @t5207)) % 1.33/1.54 (define @t5210 () (and @t61 @t2627)) % 1.33/1.54 (define @t5211 () (not @t54)) % 1.33/1.54 (define @t5212 () (or @t5211 @t7)) % 1.33/1.54 (define @t5213 () (_ tptp.in @t2623)) % 1.33/1.54 (define @t5214 () (or @t5211 @t197 @t58)) % 1.33/1.54 (define @t5215 () (=> tptp.omegaIndAx @t5199)) % 1.33/1.54 (define @t5216 () (or @t5211 @t53)) % 1.33/1.54 (define @t5217 () (=> tptp.omegaSAx @t5215)) % 1.33/1.54 (define @t5218 () (=> tptp.omega0Ax @t5217)) % 1.33/1.54 (define @t5219 () (= @t44 @t2469)) % 1.33/1.54 (define @t5220 () (forall @t41 (not @t40))) % 1.33/1.54 (define @t5221 () (not @t5220)) % 1.33/1.54 (define @t5222 () (=> tptp.setunionAx @t5218)) % 1.33/1.54 (define @t5223 () (= @t35 @t2480)) % 1.33/1.54 (define @t5224 () (=> tptp.powersetAx @t5222)) % 1.33/1.54 (define @t5225 () (= @t26 @t4965)) % 1.33/1.54 (define @t5226 () (=> tptp.setadjoinAx @t5224)) % 1.33/1.54 (define @t5227 () (=> tptp.emptysetAx @t5226)) % 1.33/1.54 (define @t5228 () (=> tptp.setextAx @t5227)) % 1.33/1.54 (define @t5229 () (or @t1634 @t1633 @t1631 @t1630 @t1629)) % 1.33/1.54 (define @t5230 () (or @t1636 @t5229)) % 1.33/1.54 (define @t5231 () (forall @t1638 @t5230)) % 1.33/1.54 (define @t5232 () (@list @t1627 @t1626 @t1628)) % 1.33/1.54 (define @t5233 () (forall @t5232 @t5230)) % 1.33/1.54 (define @t5234 () (forall @t5232 @t5229)) % 1.33/1.54 (define @t5235 () (@var "BOUND_VARIABLE_14883" $$unsorted)) % 1.33/1.54 (define @t5236 () (@var "BOUND_VARIABLE_14881" $$unsorted)) % 1.33/1.54 (define @t5237 () (or @t1636 @t5234)) % 1.33/1.54 (define @t5238 () (tptp.in @t5235 (tptp.binunion @t1129 @t5236))) % 1.33/1.54 (define @t5239 () (not (tptp.in @t5235 @t2866))) % 1.33/1.54 (define @t5240 () (not (tptp.in @t5235 @t2))) % 1.33/1.54 (define @t5241 () (not (tptp.in @t5236 @t1632))) % 1.33/1.54 (define @t5242 () (or @t2871 @t5241 @t5240 @t5239 @t5238)) % 1.33/1.54 (define @t5243 () (@list @t1129 @t5236 @t5235)) % 1.33/1.54 (define @t5244 () (forall @t5243 @t5242)) % 1.33/1.54 (define @t5245 () (or @t2875 @t5244)) % 1.33/1.54 (define @t5246 () (or @t5241 @t5240 @t5239 @t5238)) % 1.33/1.54 (define @t5247 () (or @t2871 @t5246)) % 1.33/1.54 (define @t5248 () (forall @t5243 @t5247)) % 1.33/1.54 (define @t5249 () (@list @t5236 @t5235)) % 1.33/1.54 (define @t5250 () (forall @t5249 @t5247)) % 1.33/1.54 (define @t5251 () (forall @t5249 @t5246)) % 1.33/1.54 (define @t5252 () (@var "BOUND_VARIABLE_14862" $$unsorted)) % 1.33/1.54 (define @t5253 () (or @t2871 @t5251)) % 1.33/1.54 (define @t5254 () (tptp.binunion @t1129 @t1338)) % 1.33/1.54 (define @t5255 () (tptp.in @t5252 @t5254)) % 1.33/1.54 (define @t5256 () (not (tptp.in @t5252 @t2866))) % 1.33/1.54 (define @t5257 () (not (tptp.in @t5252 @t2))) % 1.33/1.54 (define @t5258 () (or @t2890 @t5257 @t5256 @t5255)) % 1.33/1.54 (define @t5259 () (@list @t1338 @t5252)) % 1.33/1.54 (define @t5260 () (forall @t5259 @t5258)) % 1.33/1.54 (define @t5261 () (or @t2894 @t5260)) % 1.33/1.54 (define @t5262 () (or @t5257 @t5256 @t5255)) % 1.33/1.54 (define @t5263 () (or @t2890 @t5262)) % 1.33/1.54 (define @t5264 () (forall @t5259 @t5263)) % 1.33/1.54 (define @t5265 () (@list @t5252)) % 1.33/1.54 (define @t5266 () (forall @t5265 @t5263)) % 1.33/1.54 (define @t5267 () (forall @t5265 @t5262)) % 1.33/1.54 (define @t5268 () (or @t2890 @t5267)) % 1.33/1.54 (define @t5269 () (tptp.in @t4 @t5254)) % 1.33/1.54 (define @t5270 () (forall @t9 (or @t1795 @t2906 @t5269))) % 1.33/1.54 (define @t5271 () (or @t2908 @t5270)) % 1.33/1.54 (define @t5272 () (or @t197 @t1213 @t1354)) % 1.33/1.54 (define @t5273 () (@quantifiers_skolemize @t1639 2)) % 1.33/1.54 (define @t5274 () (@quantifiers_skolemize @t1639 1)) % 1.33/1.54 (define @t5275 () (@quantifiers_skolemize @t1639 4)) % 1.33/1.54 (define @t5276 () (tptp.in @t5275 (tptp.binintersect @t5274 @t5273))) % 1.33/1.54 (define @t5277 () (@quantifiers_skolemize @t1639 3)) % 1.33/1.54 (define @t5278 () (tptp.in @t5275 (tptp.binunion @t5273 @t5277))) % 1.33/1.54 (define @t5279 () (not @t5276)) % 1.33/1.54 (define @t5280 () (@quantifiers_skolemize @t1639 0)) % 1.33/1.54 (define @t5281 () (tptp.powerset @t5280)) % 1.33/1.54 (define @t5282 () (or (not (tptp.in @t5274 @t5281)) (not (tptp.in @t5273 @t5281)) (not (tptp.in @t5277 @t5281)) (not (tptp.in @t5275 @t5280)) @t5279 @t5278)) % 1.33/1.54 (define @t5283 () (@list true)) % 1.33/1.54 (define @t5284 () (@list @t5282)) % 1.33/1.54 (define @t5285 () (tptp.in @t5275 @t5273)) % 1.33/1.54 (define @t5286 () (not @t5285)) % 1.33/1.54 (define @t5287 () (or @t5286 @t5278)) % 1.33/1.54 (define @t5288 () (or @t5279 @t5285)) % 1.33/1.54 (assume @p1 @t14) % 1.33/1.54 (assume @p2 @t18) % 1.33/1.54 (assume @p3 @t30) % 1.33/1.54 (assume @p4 @t38) % 1.33/1.54 (assume @p5 @t48) % 1.33/1.54 (assume @p6 (= tptp.omega0Ax @t50)) % 1.33/1.54 (assume @p7 @t56) % 1.33/1.54 (assume @p8 @t66) % 1.33/1.54 (assume @p9 @t83) % 1.33/1.54 (assume @p10 @t92) % 1.33/1.54 (assume @p11 @t142) % 1.33/1.54 (assume @p12 @t152) % 1.33/1.54 (assume @p13 @t161) % 1.33/1.54 (assume @p14 @t163) % 1.33/1.54 (assume @p15 @t165) % 1.33/1.54 (assume @p16 @t172) % 1.33/1.54 (assume @p17 @t178) % 1.33/1.54 (assume @p18 @t183) % 1.33/1.54 (assume @p19 @t185) % 1.33/1.54 (assume @p20 (= tptp.notinemptyset @t17)) % 1.33/1.54 (assume @p21 @t189) % 1.33/1.54 (assume @p22 @t195) % 1.33/1.54 (assume @p23 @t201) % 1.33/1.54 (assume @p24 (= tptp.noeltsimpempty @t200)) % 1.33/1.54 (assume @p25 @t204) % 1.33/1.54 (assume @p26 @t208) % 1.33/1.54 (assume @p27 @t212) % 1.33/1.54 (assume @p28 @t215) % 1.33/1.54 (assume @p29 @t219) % 1.33/1.54 (assume @p30 (= tptp.emptyinunitempty @t221)) % 1.33/1.54 (assume @p31 @t223) % 1.33/1.54 (assume @p32 @t231) % 1.33/1.54 (assume @p33 @t234) % 1.33/1.54 (assume @p34 @t238) % 1.33/1.54 (assume @p35 @t241) % 1.33/1.54 (assume @p36 @t244) % 1.33/1.54 (assume @p37 (= tptp.emptyInPowerset @t243)) % 1.33/1.54 (assume @p38 @t247) % 1.33/1.54 (assume @p39 @t251) % 1.33/1.54 (assume @p40 @t258) % 1.33/1.54 (assume @p41 @t262) % 1.33/1.54 (assume @p42 @t268) % 1.33/1.54 (assume @p43 @t273) % 1.33/1.54 (assume @p44 @t278) % 1.33/1.54 (assume @p45 @t284) % 1.33/1.54 (assume @p46 @t286) % 1.33/1.54 (assume @p47 @t288) % 1.33/1.54 (assume @p48 @t299) % 1.33/1.54 (assume @p49 @t302) % 1.33/1.54 (assume @p50 @t305) % 1.33/1.54 (assume @p51 @t313) % 1.33/1.54 (assume @p52 @t316) % 1.33/1.54 (assume @p53 @t324) % 1.33/1.54 (assume @p54 @t329) % 1.33/1.54 (assume @p55 @t332) % 1.33/1.54 (assume @p56 @t335) % 1.33/1.54 (assume @p57 @t338) % 1.33/1.54 (assume @p58 @t341) % 1.33/1.54 (assume @p59 (= tptp.notdexE @t331)) % 1.33/1.54 (assume @p60 (= tptp.notdallE @t323)) % 1.33/1.54 (assume @p61 @t344) % 1.33/1.54 (assume @p62 @t350) % 1.33/1.54 (assume @p63 @t353) % 1.33/1.54 (assume @p64 @t359) % 1.33/1.54 (assume @p65 @t364) % 1.33/1.54 (assume @p66 @t367) % 1.33/1.54 (assume @p67 @t380) % 1.33/1.54 (assume @p68 @t382) % 1.33/1.54 (assume @p69 @t392) % 1.33/1.54 (assume @p70 @t396) % 1.33/1.54 (assume @p71 @t400) % 1.33/1.54 (assume @p72 @t401) % 1.33/1.54 (assume @p73 @t402) % 1.33/1.54 (assume @p74 @t409) % 1.33/1.54 (assume @p75 @t420) % 1.33/1.54 (assume @p76 @t425) % 1.33/1.54 (assume @p77 @t429) % 1.33/1.54 (assume @p78 @t431) % 1.33/1.54 (assume @p79 (= tptp.subsetI2 @t424)) % 1.33/1.54 (assume @p80 @t434) % 1.33/1.54 (assume @p81 @t436) % 1.33/1.54 (assume @p82 @t440) % 1.33/1.54 (assume @p83 @t444) % 1.33/1.54 (assume @p84 @t447) % 1.33/1.54 (assume @p85 @t450) % 1.33/1.54 (assume @p86 @t453) % 1.33/1.54 (assume @p87 @t459) % 1.33/1.54 (assume @p88 @t463) % 1.33/1.54 (assume @p89 @t467) % 1.33/1.54 (assume @p90 @t471) % 1.33/1.54 (assume @p91 @t474) % 1.33/1.54 (assume @p92 @t477) % 1.33/1.54 (assume @p93 @t479) % 1.33/1.54 (assume @p94 @t481) % 1.33/1.54 (assume @p95 @t484) % 1.33/1.54 (assume @p96 @t487) % 1.33/1.54 (assume @p97 @t490) % 1.33/1.54 (assume @p98 @t493) % 1.33/1.54 (assume @p99 @t497) % 1.33/1.54 (assume @p100 (= tptp.upairset2IR @t304)) % 1.33/1.54 (assume @p101 @t499) % 1.33/1.54 (assume @p102 @t506) % 1.33/1.54 (assume @p103 @t509) % 1.33/1.54 (assume @p104 @t512) % 1.33/1.54 (assume @p105 @t515) % 1.33/1.54 (assume @p106 @t521) % 1.33/1.54 (assume @p107 @t528) % 1.33/1.54 (assume @p108 @t530) % 1.33/1.54 (assume @p109 @t534) % 1.33/1.54 (assume @p110 @t538) % 1.33/1.54 (assume @p111 @t542) % 1.33/1.54 (assume @p112 @t544) % 1.33/1.54 (assume @p113 @t550) % 1.33/1.54 (assume @p114 @t553) % 1.33/1.54 (assume @p115 @t556) % 1.33/1.54 (assume @p116 @t559) % 1.33/1.54 (assume @p117 @t566) % 1.33/1.54 (assume @p118 @t572) % 1.33/1.54 (assume @p119 @t574) % 1.33/1.54 (assume @p120 @t576) % 1.33/1.54 (assume @p121 @t580) % 1.33/1.54 (assume @p122 @t583) % 1.33/1.54 (assume @p123 @t585) % 1.33/1.54 (assume @p124 @t587) % 1.33/1.54 (assume @p125 @t589) % 1.33/1.54 (assume @p126 @t592) % 1.33/1.54 (assume @p127 @t595) % 1.33/1.54 (assume @p128 @t605) % 1.33/1.54 (assume @p129 @t608) % 1.33/1.54 (assume @p130 @t611) % 1.33/1.54 (assume @p131 @t615) % 1.33/1.54 (assume @p132 @t618) % 1.33/1.54 (assume @p133 (= tptp.secondinupair @t304)) % 1.33/1.54 (assume @p134 @t625) % 1.33/1.54 (assume @p135 @t628) % 1.33/1.54 (assume @p136 @t631) % 1.33/1.54 (assume @p137 @t636) % 1.33/1.54 (assume @p138 @t639) % 1.33/1.54 (assume @p139 @t643) % 1.33/1.54 (assume @p140 @t647) % 1.33/1.54 (assume @p141 (= tptp.upairset2E @t298)) % 1.33/1.54 (assume @p142 @t652) % 1.33/1.54 (assume @p143 @t657) % 1.33/1.54 (assume @p144 @t662) % 1.33/1.54 (assume @p145 @t668) % 1.33/1.54 (assume @p146 @t674) % 1.33/1.54 (assume @p147 @t680) % 1.33/1.54 (assume @p148 @t691) % 1.33/1.54 (assume @p149 @t694) % 1.33/1.54 (assume @p150 @t704) % 1.33/1.54 (assume @p151 @t709) % 1.33/1.54 (assume @p152 @t712) % 1.33/1.54 (assume @p153 @t715) % 1.33/1.54 (assume @p154 @t723) % 1.33/1.54 (assume @p155 @t728) % 1.33/1.54 (assume @p156 @t736) % 1.33/1.54 (assume @p157 @t740) % 1.33/1.54 (assume @p158 @t743) % 1.33/1.54 (assume @p159 @t749) % 1.33/1.54 (assume @p160 @t758) % 1.33/1.54 (assume @p161 @t763) % 1.33/1.54 (assume @p162 @t767) % 1.33/1.54 (assume @p163 @t771) % 1.33/1.54 (assume @p164 @t779) % 1.33/1.54 (assume @p165 @t783) % 1.33/1.54 (assume @p166 @t786) % 1.33/1.54 (assume @p167 @t790) % 1.33/1.54 (assume @p168 @t794) % 1.33/1.54 (assume @p169 @t797) % 1.33/1.54 (assume @p170 @t799) % 1.33/1.54 (assume @p171 @t801) % 1.33/1.54 (assume @p172 @t809) % 1.33/1.54 (assume @p173 @t813) % 1.33/1.54 (assume @p174 @t819) % 1.33/1.54 (assume @p175 @t822) % 1.33/1.54 (assume @p176 @t825) % 1.33/1.54 (assume @p177 @t827) % 1.33/1.54 (assume @p178 @t832) % 1.33/1.54 (assume @p179 @t837) % 1.33/1.54 (assume @p180 @t842) % 1.33/1.54 (assume @p181 @t845) % 1.33/1.54 (assume @p182 @t856) % 1.33/1.54 (assume @p183 @t862) % 1.33/1.54 (assume @p184 @t865) % 1.33/1.54 (assume @p185 @t870) % 1.33/1.54 (assume @p186 @t873) % 1.33/1.54 (assume @p187 @t875) % 1.33/1.54 (assume @p188 @t877) % 1.33/1.54 (assume @p189 @t889) % 1.33/1.54 (assume @p190 @t895) % 1.33/1.54 (assume @p191 @t902) % 1.33/1.54 (assume @p192 @t907) % 1.33/1.54 (assume @p193 @t910) % 1.33/1.54 (assume @p194 @t912) % 1.33/1.54 (assume @p195 @t921) % 1.33/1.54 (assume @p196 @t928) % 1.33/1.54 (assume @p197 @t932) % 1.33/1.54 (assume @p198 @t948) % 1.33/1.54 (assume @p199 @t949) % 1.33/1.54 (assume @p200 @t952) % 1.33/1.54 (assume @p201 @t958) % 1.33/1.54 (assume @p202 @t961) % 1.33/1.54 (assume @p203 @t969) % 1.33/1.54 (assume @p204 @t986) % 1.33/1.54 (assume @p205 @t989) % 1.33/1.54 (assume @p206 @t1005) % 1.33/1.54 (assume @p207 @t1017) % 1.33/1.54 (assume @p208 @t1024) % 1.33/1.54 (assume @p209 @t1031) % 1.33/1.54 (assume @p210 @t1036) % 1.33/1.54 (assume @p211 @t1039) % 1.33/1.54 (assume @p212 @t1048) % 1.33/1.54 (assume @p213 @t1054) % 1.33/1.54 (assume @p214 @t1057) % 1.33/1.54 (assume @p215 (= tptp.beta2 @t1047)) % 1.33/1.54 (assume @p216 @t1060) % 1.33/1.54 (assume @p217 @t1074) % 1.33/1.54 (assume @p218 @t1081) % 1.33/1.54 (assume @p219 @t1087) % 1.33/1.54 (assume @p220 @t1094) % 1.33/1.54 (assume @p221 @t1099) % 1.33/1.54 (assume @p222 @t1106) % 1.33/1.54 (assume @p223 @t1111) % 1.33/1.54 (assume @p224 @t1117) % 1.33/1.54 (assume @p225 @t1123) % 1.33/1.54 (assume @p226 @t1128) % 1.33/1.54 (assume @p227 @t1140) % 1.33/1.54 (assume @p228 @t1147) % 1.33/1.54 (assume @p229 @t1152) % 1.33/1.54 (assume @p230 @t1158) % 1.33/1.54 (assume @p231 @t1163) % 1.33/1.54 (assume @p232 @t1176) % 1.33/1.54 (assume @p233 @t1184) % 1.33/1.54 (assume @p234 @t1192) % 1.33/1.54 (assume @p235 @t1199) % 1.33/1.54 (assume @p236 @t1206) % 1.33/1.54 (assume @p237 @t1211) % 1.33/1.54 (assume @p238 @t1221) % 1.33/1.54 (assume @p239 @t1229) % 1.33/1.54 (assume @p240 @t1239) % 1.33/1.54 (assume @p241 @t1247) % 1.33/1.54 (assume @p242 @t1253) % 1.33/1.54 (assume @p243 @t1258) % 1.33/1.54 (assume @p244 @t1265) % 1.33/1.54 (assume @p245 @t1270) % 1.33/1.54 (assume @p246 @t1273) % 1.33/1.54 (assume @p247 @t1276) % 1.33/1.54 (assume @p248 @t1279) % 1.33/1.54 (assume @p249 @t1286) % 1.33/1.54 (assume @p250 @t1295) % 1.33/1.54 (assume @p251 @t1300) % 1.33/1.54 (assume @p252 @t1306) % 1.33/1.54 (assume @p253 @t1314) % 1.33/1.54 (assume @p254 @t1321) % 1.33/1.54 (assume @p255 @t1330) % 1.33/1.54 (assume @p256 @t1337) % 1.33/1.54 (assume @p257 @t1352) % 1.33/1.54 (assume @p258 @t1620) % 1.33/1.54 (assume @p259 true) % 1.33/1.54 (step @p260 (= tptp.exu @t1621) :rule refl :args (@t1621)) % 1.33/1.54 (step @p261 (= tptp.nonempty @t1622) :rule refl :args (@t1622)) % 1.33/1.54 (step @p262 (= tptp.ex1 @t1623) :rule refl :args (@t1623)) % 1.33/1.54 (step @p263 (= tptp.breln @t1625) :rule refl :args (@t1625)) % 1.33/1.54 (step @p264 :rule refl :args (@t2415)) % 1.33/1.54 (step @p265 :rule skolem_intro :args ((@purify true))) % 1.33/1.54 (step @p266 :rule symm :premises (@p265)) % 1.33/1.54 (step @p267 :rule cong :premises (@p266) :args (@t2416)) % 1.33/1.54 (step @p268 :rule cong :premises (@p267) :args (@t2417)) % 1.33/1.54 (step @p269 :rule cong :premises (@p268 @p264) :args (@t2418)) % 1.33/1.54 (step @p270 :rule refl :args (tptp.emptyset)) % 1.33/1.54 (step @p271 :rule cong :premises (@p270 @p267) :args (@t2419)) % 1.33/1.54 (step @p272 :rule cong :premises (@p271 @p269) :args (@t2420)) % 1.33/1.54 (step @p273 :rule refl :args (@t2423)) % 1.33/1.54 (step @p274 :rule cong :premises (@p273 @p272) :args (@t2424)) % 1.33/1.54 (step @p275 :rule refl :args (@t2431)) % 1.33/1.54 (step @p276 :rule cong :premises (@p275 @p274) :args (@t2432)) % 1.33/1.54 (step @p277 :rule refl :args (@t2257)) % 1.33/1.54 (step @p278 :rule cong :premises (@p277 @p276) :args (@t2433)) % 1.33/1.54 (step @p279 :rule refl :args (@t2435)) % 1.33/1.54 (step @p280 :rule cong :premises (@p279 @p278) :args (@t2436)) % 1.33/1.54 (step @p281 :rule refl :args (@t2240)) % 1.33/1.54 (step @p282 :rule cong :premises (@p281 @p280) :args (@t2437)) % 1.33/1.54 (step @p283 :rule refl :args (@t2441)) % 1.33/1.54 (step @p284 :rule cong :premises (@p283 @p282) :args (@t2442)) % 1.33/1.54 (step @p285 :rule refl :args (@t2444)) % 1.33/1.54 (step @p286 :rule cong :premises (@p285 @p284) :args (@t2445)) % 1.33/1.54 (step @p287 :rule refl :args (@t2446)) % 1.33/1.54 (step @p288 :rule cong :premises (@p287 @p286) :args (@t2447)) % 1.33/1.54 (step @p289 :rule refl :args (@t2448)) % 1.33/1.54 (step @p290 :rule cong :premises (@p289 @p288) :args (@t2449)) % 1.33/1.54 (step @p291 :rule refl :args (@t2452)) % 1.33/1.54 (step @p292 :rule cong :premises (@p291 @p290) :args (@t2453)) % 1.33/1.54 (step @p293 :rule refl :args (@t2460)) % 1.33/1.54 (step @p294 :rule cong :premises (@p293 @p292) :args (@t2461)) % 1.33/1.54 (step @p295 :rule refl :args (@t2464)) % 1.33/1.54 (step @p296 :rule cong :premises (@p295 @p294) :args (@t2465)) % 1.33/1.54 (step @p297 :rule refl :args (@t2470)) % 1.33/1.54 (step @p298 :rule cong :premises (@p297 @p296) :args (@t2471)) % 1.33/1.54 (step @p299 :rule refl :args (@t2472)) % 1.33/1.54 (step @p300 :rule cong :premises (@p299 @p298) :args (@t2473)) % 1.33/1.54 (step @p301 :rule refl :args (@t2474)) % 1.33/1.54 (step @p302 :rule cong :premises (@p301 @p300) :args (@t2475)) % 1.33/1.54 (step @p303 :rule refl :args (@t2477)) % 1.33/1.54 (step @p304 :rule cong :premises (@p303 @p302) :args (@t2478)) % 1.33/1.54 (step @p305 :rule cong :premises (@p303 @p304) :args (@t2479)) % 1.33/1.54 (step @p306 :rule refl :args (@t2482)) % 1.33/1.54 (step @p307 :rule cong :premises (@p306 @p305) :args (@t2483)) % 1.33/1.54 (step @p308 :rule refl :args (@t2487)) % 1.33/1.54 (step @p309 :rule cong :premises (@p308 @p307) :args (@t2488)) % 1.33/1.54 (step @p310 :rule refl :args (@t2490)) % 1.33/1.54 (step @p311 :rule cong :premises (@p310 @p309) :args (@t2491)) % 1.33/1.54 (step @p312 :rule cong :premises (@p310 @p311) :args (@t2492)) % 1.33/1.54 (step @p313 :rule refl :args (@t2493)) % 1.33/1.54 (step @p314 :rule cong :premises (@p313 @p312) :args (@t2494)) % 1.33/1.54 (step @p315 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 1.33/1.54 (step @p316 :rule refl :args (@t2495)) % 1.33/1.54 (step @p317 :rule refl :args (tptp.emptyset)) % 1.33/1.54 (step @p318 :rule cong :premises (@p317 @p316) :args (@t2496)) % 1.33/1.54 (step @p319 :rule trans :premises (@p318 @p315)) % 1.33/1.54 (step @p320 :rule refl :args (@t49)) % 1.33/1.54 (step @p321 :rule ho_cong :premises (@p320 @p316)) % 1.33/1.54 (step @p322 :rule cong :premises (@p321 @p319) :args ((= (_ @t49 @t2495) @t2496))) % 1.33/1.54 (step @p323 :rule symm :premises (@p322)) % 1.33/1.54 (step @p324 :rule refl :args (@t221)) % 1.33/1.54 (step @p325 :rule eq_resolve :premises (@p324 @p323)) % 1.33/1.54 (step @p326 :rule refl :args (@t220)) % 1.33/1.54 (step @p327 :rule cong :premises (@p326 @p316) :args ((= @t220 @t2495))) % 1.33/1.54 (step @p328 :rule symm :premises (@p327)) % 1.33/1.54 (step @p329 :rule eq_resolve :premises (@p326 @p328)) % 1.33/1.54 (step @p330 :rule refl :args (@t49)) % 1.33/1.54 (step @p331 :rule ho_cong :premises (@p330 @p329)) % 1.33/1.54 (step @p332 :rule trans :premises (@p331 @p325)) % 1.33/1.54 (step @p333 :rule cong :premises (@p332 @p314) :args (@t2497)) % 1.33/1.54 (step @p334 :rule refl :args (@t2500)) % 1.33/1.54 (step @p335 :rule cong :premises (@p334 @p333) :args (@t2501)) % 1.33/1.54 (step @p336 :rule refl :args (@t2505)) % 1.33/1.54 (step @p337 :rule cong :premises (@p336 @p335) :args (@t2506)) % 1.33/1.54 (step @p338 :rule refl :args (@t2507)) % 1.33/1.54 (step @p339 :rule cong :premises (@p338 @p337) :args (@t2508)) % 1.33/1.54 (step @p340 :rule cong :premises (@p291 @p339) :args (@t2509)) % 1.33/1.54 (step @p341 :rule refl :args (@t2511)) % 1.33/1.54 (step @p342 :rule cong :premises (@p341 @p340) :args (@t2512)) % 1.33/1.54 (step @p343 :rule refl :args (@t2513)) % 1.33/1.54 (step @p344 :rule cong :premises (@p343 @p342) :args (@t2514)) % 1.33/1.54 (step @p345 :rule cong :premises (@p343 @p344) :args (@t2515)) % 1.33/1.54 (step @p346 :rule refl :args (@t2517)) % 1.33/1.54 (step @p347 :rule cong :premises (@p346 @p345) :args (@t2518)) % 1.33/1.54 (step @p348 :rule refl :args (@t2524)) % 1.33/1.54 (step @p349 :rule cong :premises (@p348 @p347) :args (@t2525)) % 1.33/1.54 (step @p350 :rule refl :args (@t2526)) % 1.33/1.54 (step @p351 :rule cong :premises (@p350 @p349) :args (@t2527)) % 1.33/1.54 (step @p352 :rule cong :premises (@p350 @p351) :args (@t2528)) % 1.33/1.54 (step @p353 :rule cong :premises (@p350 @p352) :args (@t2529)) % 1.33/1.54 (step @p354 :rule refl :args (@t2531)) % 1.33/1.54 (step @p355 :rule cong :premises (@p354 @p353) :args (@t2532)) % 1.33/1.54 (step @p356 :rule refl :args (@t2534)) % 1.33/1.54 (step @p357 :rule cong :premises (@p356 @p355) :args (@t2535)) % 1.33/1.54 (step @p358 :rule refl :args (@t2536)) % 1.33/1.54 (step @p359 :rule cong :premises (@p358 @p357) :args (@t2537)) % 1.33/1.54 (step @p360 :rule refl :args (@t2538)) % 1.33/1.54 (step @p361 :rule cong :premises (@p360 @p359) :args (@t2539)) % 1.33/1.54 (step @p362 :rule refl :args (@t2544)) % 1.33/1.54 (step @p363 :rule cong :premises (@p362 @p361) :args (@t2545)) % 1.33/1.54 (step @p364 :rule refl :args (@t2596)) % 1.33/1.54 (step @p365 :rule cong :premises (@p364 @p363) :args (@t2597)) % 1.33/1.54 (step @p366 :rule refl :args (@t2604)) % 1.33/1.54 (step @p367 :rule cong :premises (@p366 @p365) :args (@t2605)) % 1.33/1.54 (step @p368 :rule refl :args (@t2618)) % 1.33/1.54 (step @p369 :rule cong :premises (@p368 @p367) :args (@t2619)) % 1.33/1.54 (step @p370 :rule refl :args (@t2633)) % 1.33/1.54 (step @p371 :rule cong :premises (@p370 @p369) :args (@t2634)) % 1.33/1.54 (step @p372 :rule refl :args (@t2636)) % 1.33/1.54 (step @p373 :rule cong :premises (@p372 @p371) :args (@t2637)) % 1.33/1.54 (step @p374 :rule refl :args (@t2638)) % 1.33/1.54 (step @p375 :rule refl :args (@t50)) % 1.33/1.54 (step @p376 :rule cong :premises (@p375 @p374) :args ((= @t50 @t2638))) % 1.33/1.54 (step @p377 :rule symm :premises (@p376)) % 1.33/1.54 (step @p378 :rule eq_resolve :premises (@p375 @p377)) % 1.33/1.54 (step @p379 :rule cong :premises (@p378 @p373) :args (@t2639)) % 1.33/1.54 (step @p380 :rule refl :args (@t2640)) % 1.33/1.54 (step @p381 :rule cong :premises (@p380 @p379) :args (@t2641)) % 1.33/1.54 (step @p382 :rule refl :args (@t2642)) % 1.33/1.54 (step @p383 :rule cong :premises (@p382 @p381) :args (@t2643)) % 1.33/1.54 (step @p384 :rule refl :args (@t2645)) % 1.33/1.54 (step @p385 :rule cong :premises (@p384 @p383) :args (@t2646)) % 1.33/1.54 (step @p386 :rule cong :premises (@p350 @p385) :args (@t2647)) % 1.33/1.54 (step @p387 :rule refl :args (@t2649)) % 1.33/1.54 (step @p388 :rule cong :premises (@p387 @p386) :args (@t2650)) % 1.33/1.54 (step @p389 :rule cong :premises (@p388) :args ((not @t2650))) % 1.33/1.54 (step @p390 :rule bool-impl-true2 :args (@t1902)) % 1.33/1.54 (step @p391 :rule refl :args (@t1905)) % 1.33/1.54 (step @p392 :rule cong :premises (@p391 @p390) :args (@t2651)) % 1.33/1.54 (step @p393 :rule refl :args (@t1901)) % 1.33/1.54 (step @p394 :rule cong :premises (@p393 @p392) :args (@t2652)) % 1.33/1.54 (step @p395 :rule bool-impl-true2 :args (@t2652)) % 1.33/1.54 (step @p396 :rule trans :premises (@p395 @p394)) % 1.33/1.54 (step @p397 :rule bool-impl-true2 :args (@t2652)) % 1.33/1.54 (step @p398 :rule refl :args (true)) % 1.33/1.54 (step @p399 :rule cong :premises (@p398 @p397) :args (@t2653)) % 1.33/1.54 (step @p400 :rule trans :premises (@p399 @p396)) % 1.33/1.54 (step @p401 :rule refl :args (@t1912)) % 1.33/1.54 (step @p402 :rule cong :premises (@p401 @p400) :args (@t2654)) % 1.33/1.54 (step @p403 :rule refl :args (@t1919)) % 1.33/1.54 (step @p404 :rule cong :premises (@p403 @p402) :args (@t2655)) % 1.33/1.54 (step @p405 :rule refl :args (@t1940)) % 1.33/1.54 (step @p406 :rule cong :premises (@p405 @p404) :args (@t2656)) % 1.33/1.54 (step @p407 :rule refl :args (@t1947)) % 1.33/1.54 (step @p408 :rule cong :premises (@p407 @p406) :args (@t2657)) % 1.33/1.54 (step @p409 :rule refl :args (@t1955)) % 1.33/1.54 (step @p410 :rule cong :premises (@p409 @p408) :args (@t2658)) % 1.33/1.54 (step @p411 :rule refl :args (@t1968)) % 1.33/1.54 (step @p412 :rule cong :premises (@p411 @p410) :args (@t2659)) % 1.33/1.54 (step @p413 :rule refl :args (@t1976)) % 1.33/1.54 (step @p414 :rule cong :premises (@p413 @p412) :args (@t2660)) % 1.33/1.54 (step @p415 :rule refl :args (@t1982)) % 1.33/1.54 (step @p416 :rule cong :premises (@p415 @p414) :args (@t2661)) % 1.33/1.54 (step @p417 :rule refl :args (@t1988)) % 1.33/1.54 (step @p418 :rule cong :premises (@p417 @p416) :args (@t2662)) % 1.33/1.54 (step @p419 :rule refl :args (@t2001)) % 1.33/1.54 (step @p420 :rule cong :premises (@p419 @p418) :args (@t2663)) % 1.33/1.54 (step @p421 :rule refl :args (@t2014)) % 1.33/1.54 (step @p422 :rule cong :premises (@p421 @p420) :args (@t2664)) % 1.33/1.54 (step @p423 :rule cong :premises (@p421 @p422) :args (@t2665)) % 1.33/1.54 (step @p424 :rule refl :args (@t2015)) % 1.33/1.54 (step @p425 :rule cong :premises (@p424 @p423) :args (@t2666)) % 1.33/1.54 (step @p426 :rule refl :args (@t2016)) % 1.33/1.54 (step @p427 :rule cong :premises (@p426 @p425) :args (@t2667)) % 1.33/1.54 (step @p428 :rule refl :args (@t2021)) % 1.33/1.54 (step @p429 :rule cong :premises (@p428 @p427) :args (@t2668)) % 1.33/1.54 (step @p430 :rule refl :args (@t2022)) % 1.33/1.54 (step @p431 :rule cong :premises (@p430 @p429) :args (@t2669)) % 1.33/1.54 (step @p432 :rule refl :args (@t2028)) % 1.33/1.54 (step @p433 :rule cong :premises (@p432 @p431) :args (@t2670)) % 1.33/1.54 (step @p434 :rule refl :args (@t2029)) % 1.33/1.54 (step @p435 :rule cong :premises (@p434 @p433) :args (@t2671)) % 1.33/1.54 (step @p436 :rule refl :args (@t2035)) % 1.33/1.54 (step @p437 :rule cong :premises (@p436 @p435) :args (@t2672)) % 1.33/1.54 (step @p438 :rule refl :args (@t2041)) % 1.33/1.54 (step @p439 :rule cong :premises (@p438 @p437) :args (@t2673)) % 1.33/1.54 (step @p440 :rule refl :args (@t2047)) % 1.33/1.54 (step @p441 :rule cong :premises (@p440 @p439) :args (@t2674)) % 1.33/1.54 (step @p442 :rule refl :args (@t2053)) % 1.33/1.54 (step @p443 :rule cong :premises (@p442 @p441) :args (@t2675)) % 1.33/1.54 (step @p444 :rule refl :args (@t2055)) % 1.33/1.54 (step @p445 :rule cong :premises (@p444 @p443) :args (@t2676)) % 1.33/1.54 (step @p446 :rule refl :args (@t2056)) % 1.33/1.54 (step @p447 :rule cong :premises (@p446 @p445) :args (@t2677)) % 1.33/1.54 (step @p448 :rule refl :args (@t2063)) % 1.33/1.54 (step @p449 :rule cong :premises (@p448 @p447) :args (@t2678)) % 1.33/1.54 (step @p450 :rule refl :args (@t2064)) % 1.33/1.54 (step @p451 :rule cong :premises (@p450 @p449) :args (@t2679)) % 1.33/1.54 (step @p452 :rule cong :premises (@p450 @p451) :args (@t2680)) % 1.33/1.54 (step @p453 :rule refl :args (@t2071)) % 1.33/1.54 (step @p454 :rule cong :premises (@p453 @p452) :args (@t2681)) % 1.33/1.54 (step @p455 :rule refl :args (@t2078)) % 1.33/1.54 (step @p456 :rule cong :premises (@p455 @p454) :args (@t2682)) % 1.33/1.54 (step @p457 :rule refl :args (@t2084)) % 1.33/1.54 (step @p458 :rule cong :premises (@p457 @p456) :args (@t2683)) % 1.33/1.54 (step @p459 :rule refl :args (@t2090)) % 1.33/1.54 (step @p460 :rule cong :premises (@p459 @p458) :args (@t2684)) % 1.33/1.54 (step @p461 :rule bool-impl-true2 :args (@t2684)) % 1.33/1.54 (step @p462 :rule trans :premises (@p461 @p460)) % 1.33/1.54 (step @p463 :rule refl :args (@t2093)) % 1.33/1.54 (step @p464 :rule cong :premises (@p463 @p462) :args (@t2685)) % 1.33/1.54 (step @p465 :rule refl :args (@t2094)) % 1.33/1.54 (step @p466 :rule cong :premises (@p465 @p464) :args (@t2686)) % 1.33/1.54 (step @p467 :rule refl :args (@t2096)) % 1.33/1.54 (step @p468 :rule cong :premises (@p467 @p466) :args (@t2687)) % 1.33/1.54 (step @p469 :rule refl :args (@t2099)) % 1.33/1.54 (step @p470 :rule cong :premises (@p469 @p468) :args (@t2688)) % 1.33/1.54 (step @p471 :rule refl :args (@t2102)) % 1.33/1.54 (step @p472 :rule cong :premises (@p471 @p470) :args (@t2689)) % 1.33/1.54 (step @p473 :rule refl :args (@t2109)) % 1.33/1.54 (step @p474 :rule cong :premises (@p473 @p472) :args (@t2690)) % 1.33/1.54 (step @p475 :rule refl :args (@t2112)) % 1.33/1.54 (step @p476 :rule cong :premises (@p475 @p474) :args (@t2691)) % 1.33/1.54 (step @p477 :rule refl :args (@t2123)) % 1.33/1.54 (step @p478 :rule cong :premises (@p477 @p476) :args (@t2692)) % 1.33/1.54 (step @p479 :rule refl :args (@t2124)) % 1.33/1.54 (step @p480 :rule cong :premises (@p479 @p478) :args (@t2693)) % 1.33/1.54 (step @p481 :rule refl :args (@t2128)) % 1.33/1.54 (step @p482 :rule cong :premises (@p481 @p480) :args (@t2694)) % 1.33/1.54 (step @p483 :rule refl :args (@t2131)) % 1.33/1.54 (step @p484 :rule cong :premises (@p483 @p482) :args (@t2695)) % 1.33/1.54 (step @p485 :rule refl :args (@t2133)) % 1.33/1.54 (step @p486 :rule cong :premises (@p485 @p484) :args (@t2696)) % 1.33/1.54 (step @p487 :rule refl :args (@t2134)) % 1.33/1.54 (step @p488 :rule cong :premises (@p487 @p486) :args (@t2697)) % 1.33/1.54 (step @p489 :rule refl :args (@t2135)) % 1.33/1.54 (step @p490 :rule cong :premises (@p489 @p488) :args (@t2698)) % 1.33/1.54 (step @p491 :rule refl :args (@t2137)) % 1.33/1.54 (step @p492 :rule cong :premises (@p491 @p490) :args (@t2699)) % 1.33/1.54 (step @p493 :rule refl :args (@t2140)) % 1.33/1.54 (step @p494 :rule cong :premises (@p493 @p492) :args (@t2700)) % 1.33/1.54 (step @p495 :rule refl :args (@t2142)) % 1.33/1.54 (step @p496 :rule cong :premises (@p495 @p494) :args (@t2701)) % 1.33/1.54 (step @p497 :rule refl :args (@t2147)) % 1.33/1.54 (step @p498 :rule cong :premises (@p497 @p496) :args (@t2702)) % 1.33/1.54 (step @p499 :rule refl :args (@t2149)) % 1.33/1.54 (step @p500 :rule cong :premises (@p499 @p498) :args (@t2703)) % 1.33/1.54 (step @p501 :rule refl :args (@t2150)) % 1.33/1.54 (step @p502 :rule cong :premises (@p501 @p500) :args (@t2704)) % 1.33/1.54 (step @p503 :rule refl :args (@t2166)) % 1.33/1.54 (step @p504 :rule cong :premises (@p503 @p502) :args (@t2705)) % 1.33/1.54 (step @p505 :rule refl :args (@t2173)) % 1.33/1.54 (step @p506 :rule cong :premises (@p505 @p504) :args (@t2706)) % 1.33/1.54 (step @p507 :rule refl :args (@t2176)) % 1.33/1.54 (step @p508 :rule cong :premises (@p507 @p506) :args (@t2707)) % 1.33/1.54 (step @p509 :rule cong :premises (@p503 @p508) :args (@t2708)) % 1.33/1.54 (step @p510 :rule refl :args (@t2178)) % 1.33/1.54 (step @p511 :rule cong :premises (@p510 @p509) :args (@t2709)) % 1.33/1.54 (step @p512 :rule refl :args (@t2182)) % 1.33/1.54 (step @p513 :rule cong :premises (@p512 @p511) :args (@t2710)) % 1.33/1.54 (step @p514 :rule refl :args (@t2184)) % 1.33/1.54 (step @p515 :rule cong :premises (@p514 @p513) :args (@t2711)) % 1.33/1.54 (step @p516 :rule refl :args (@t2190)) % 1.33/1.54 (step @p517 :rule cong :premises (@p516 @p515) :args (@t2712)) % 1.33/1.54 (step @p518 :rule refl :args (@t2191)) % 1.33/1.54 (step @p519 :rule cong :premises (@p518 @p517) :args (@t2713)) % 1.33/1.54 (step @p520 :rule refl :args (@t2198)) % 1.33/1.54 (step @p521 :rule cong :premises (@p520 @p519) :args (@t2714)) % 1.33/1.54 (step @p522 :rule refl :args (@t2204)) % 1.33/1.54 (step @p523 :rule cong :premises (@p522 @p521) :args (@t2715)) % 1.33/1.54 (step @p524 :rule refl :args (@t2213)) % 1.33/1.54 (step @p525 :rule cong :premises (@p524 @p523) :args (@t2716)) % 1.33/1.54 (step @p526 :rule refl :args (@t2219)) % 1.33/1.54 (step @p527 :rule cong :premises (@p526 @p525) :args (@t2717)) % 1.33/1.54 (step @p528 :rule refl :args (@t2225)) % 1.33/1.54 (step @p529 :rule cong :premises (@p528 @p527) :args (@t2718)) % 1.33/1.54 (step @p530 :rule refl :args (@t2231)) % 1.33/1.54 (step @p531 :rule cong :premises (@p530 @p529) :args (@t2719)) % 1.33/1.54 (step @p532 :rule refl :args (@t2237)) % 1.33/1.54 (step @p533 :rule cong :premises (@p532 @p531) :args (@t2720)) % 1.33/1.54 (step @p534 :rule cong :premises (@p281 @p533) :args (@t2721)) % 1.33/1.54 (step @p535 :rule refl :args (@t2242)) % 1.33/1.54 (step @p536 :rule cong :premises (@p535 @p534) :args (@t2722)) % 1.33/1.54 (step @p537 :rule refl :args (@t2244)) % 1.33/1.54 (step @p538 :rule cong :premises (@p537 @p536) :args (@t2723)) % 1.33/1.54 (step @p539 :rule refl :args (@t2246)) % 1.33/1.54 (step @p540 :rule cong :premises (@p539 @p538) :args (@t2724)) % 1.33/1.54 (step @p541 :rule refl :args (@t2248)) % 1.33/1.54 (step @p542 :rule cong :premises (@p541 @p540) :args (@t2725)) % 1.33/1.54 (step @p543 :rule refl :args (@t2250)) % 1.33/1.54 (step @p544 :rule cong :premises (@p543 @p542) :args (@t2726)) % 1.33/1.54 (step @p545 :rule refl :args (@t2253)) % 1.33/1.54 (step @p546 :rule cong :premises (@p545 @p544) :args (@t2727)) % 1.33/1.54 (step @p547 :rule refl :args (@t2255)) % 1.33/1.54 (step @p548 :rule cong :premises (@p547 @p546) :args (@t2728)) % 1.33/1.54 (step @p549 :rule cong :premises (@p277 @p548) :args (@t2729)) % 1.33/1.54 (step @p550 :rule refl :args (@t2262)) % 1.33/1.54 (step @p551 :rule cong :premises (@p550 @p549) :args (@t2730)) % 1.33/1.54 (step @p552 :rule refl :args (@t2264)) % 1.33/1.54 (step @p553 :rule cong :premises (@p552 @p551) :args (@t2731)) % 1.33/1.54 (step @p554 :rule refl :args (@t2265)) % 1.33/1.54 (step @p555 :rule cong :premises (@p554 @p553) :args (@t2732)) % 1.33/1.54 (step @p556 :rule refl :args (@t2266)) % 1.33/1.54 (step @p557 :rule cong :premises (@p556 @p555) :args (@t2733)) % 1.33/1.54 (step @p558 :rule refl :args (@t2269)) % 1.33/1.54 (step @p559 :rule cong :premises (@p558 @p557) :args (@t2734)) % 1.33/1.54 (step @p560 :rule refl :args (@t2273)) % 1.33/1.54 (step @p561 :rule cong :premises (@p560 @p559) :args (@t2735)) % 1.33/1.54 (step @p562 :rule refl :args (@t2275)) % 1.33/1.54 (step @p563 :rule cong :premises (@p562 @p561) :args (@t2736)) % 1.33/1.54 (step @p564 :rule refl :args (@t2278)) % 1.33/1.54 (step @p565 :rule cong :premises (@p564 @p563) :args (@t2737)) % 1.33/1.54 (step @p566 :rule refl :args (@t2279)) % 1.33/1.54 (step @p567 :rule cong :premises (@p566 @p565) :args (@t2738)) % 1.33/1.54 (step @p568 :rule refl :args (@t2280)) % 1.33/1.55 (step @p569 :rule cong :premises (@p568 @p567) :args (@t2739)) % 1.33/1.55 (step @p570 :rule refl :args (@t2281)) % 1.33/1.55 (step @p571 :rule cong :premises (@p570 @p569) :args (@t2740)) % 1.33/1.55 (step @p572 :rule refl :args (@t2283)) % 1.33/1.55 (step @p573 :rule cong :premises (@p572 @p571) :args (@t2741)) % 1.33/1.55 (step @p574 :rule refl :args (@t2284)) % 1.33/1.55 (step @p575 :rule cong :premises (@p574 @p573) :args (@t2742)) % 1.33/1.55 (step @p576 :rule refl :args (@t2285)) % 1.33/1.55 (step @p577 :rule cong :premises (@p576 @p575) :args (@t2743)) % 1.33/1.55 (step @p578 :rule refl :args (@t2286)) % 1.33/1.55 (step @p579 :rule cong :premises (@p578 @p577) :args (@t2744)) % 1.33/1.55 (step @p580 :rule refl :args (@t2292)) % 1.33/1.55 (step @p581 :rule cong :premises (@p580 @p579) :args (@t2745)) % 1.33/1.55 (step @p582 :rule refl :args (@t2294)) % 1.33/1.55 (step @p583 :rule cong :premises (@p582 @p581) :args (@t2746)) % 1.33/1.55 (step @p584 :rule refl :args (@t2298)) % 1.33/1.55 (step @p585 :rule cong :premises (@p584 @p583) :args (@t2747)) % 1.33/1.55 (step @p586 :rule refl :args (@t2300)) % 1.33/1.55 (step @p587 :rule cong :premises (@p586 @p585) :args (@t2748)) % 1.33/1.55 (step @p588 :rule refl :args (@t2303)) % 1.33/1.55 (step @p589 :rule cong :premises (@p588 @p587) :args (@t2749)) % 1.33/1.55 (step @p590 :rule refl :args (@t2306)) % 1.33/1.55 (step @p591 :rule cong :premises (@p590 @p589) :args (@t2750)) % 1.33/1.55 (step @p592 :rule refl :args (@t2307)) % 1.33/1.55 (step @p593 :rule cong :premises (@p592 @p591) :args (@t2751)) % 1.33/1.55 (step @p594 :rule refl :args (@t2308)) % 1.33/1.55 (step @p595 :rule cong :premises (@p594 @p593) :args (@t2752)) % 1.33/1.55 (step @p596 :rule refl :args (@t2310)) % 1.33/1.55 (step @p597 :rule cong :premises (@p596 @p595) :args (@t2753)) % 1.33/1.55 (step @p598 :rule refl :args (@t2311)) % 1.33/1.55 (step @p599 :rule cong :premises (@p598 @p597) :args (@t2754)) % 1.33/1.55 (step @p600 :rule refl :args (@t2315)) % 1.33/1.55 (step @p601 :rule cong :premises (@p600 @p599) :args (@t2755)) % 1.33/1.55 (step @p602 :rule refl :args (@t2316)) % 1.33/1.55 (step @p603 :rule cong :premises (@p602 @p601) :args (@t2756)) % 1.33/1.55 (step @p604 :rule refl :args (@t2318)) % 1.33/1.55 (step @p605 :rule cong :premises (@p604 @p603) :args (@t2757)) % 1.33/1.55 (step @p606 :rule refl :args (@t2320)) % 1.33/1.55 (step @p607 :rule cong :premises (@p606 @p605) :args (@t2758)) % 1.33/1.55 (step @p608 :rule refl :args (@t2323)) % 1.33/1.55 (step @p609 :rule cong :premises (@p608 @p607) :args (@t2759)) % 1.33/1.55 (step @p610 :rule cong :premises (@p608 @p609) :args (@t2760)) % 1.33/1.55 (step @p611 :rule refl :args (@t2324)) % 1.33/1.55 (step @p612 :rule cong :premises (@p611 @p610) :args (@t2761)) % 1.33/1.55 (step @p613 :rule cong :premises (@p277 @p612) :args (@t2762)) % 1.33/1.55 (step @p614 :rule refl :args (@t2325)) % 1.33/1.55 (step @p615 :rule cong :premises (@p614 @p613) :args (@t2763)) % 1.33/1.55 (step @p616 :rule refl :args (@t2326)) % 1.33/1.55 (step @p617 :rule cong :premises (@p616 @p615) :args (@t2764)) % 1.33/1.55 (step @p618 :rule refl :args (@t2327)) % 1.33/1.55 (step @p619 :rule cong :premises (@p618 @p617) :args (@t2765)) % 1.33/1.55 (step @p620 :rule refl :args (@t2330)) % 1.33/1.55 (step @p621 :rule cong :premises (@p620 @p619) :args (@t2766)) % 1.33/1.55 (step @p622 :rule refl :args (@t2332)) % 1.33/1.55 (step @p623 :rule cong :premises (@p622 @p621) :args (@t2767)) % 1.33/1.55 (step @p624 :rule refl :args (@t2335)) % 1.33/1.55 (step @p625 :rule cong :premises (@p624 @p623) :args (@t2768)) % 1.33/1.55 (step @p626 :rule refl :args (@t2336)) % 1.33/1.55 (step @p627 :rule cong :premises (@p626 @p625) :args (@t2769)) % 1.33/1.55 (step @p628 :rule refl :args (@t2338)) % 1.33/1.55 (step @p629 :rule cong :premises (@p628 @p627) :args (@t2770)) % 1.33/1.55 (step @p630 :rule refl :args (@t2339)) % 1.33/1.55 (step @p631 :rule cong :premises (@p630 @p629) :args (@t2771)) % 1.33/1.55 (step @p632 :rule refl :args (@t2341)) % 1.33/1.55 (step @p633 :rule cong :premises (@p632 @p631) :args (@t2772)) % 1.33/1.55 (step @p634 :rule refl :args (@t2344)) % 1.33/1.55 (step @p635 :rule cong :premises (@p634 @p633) :args (@t2773)) % 1.33/1.55 (step @p636 :rule refl :args (@t2347)) % 1.33/1.55 (step @p637 :rule cong :premises (@p636 @p635) :args (@t2774)) % 1.33/1.55 (step @p638 :rule refl :args (@t2350)) % 1.33/1.55 (step @p639 :rule cong :premises (@p638 @p637) :args (@t2775)) % 1.33/1.55 (step @p640 :rule refl :args (@t2352)) % 1.33/1.55 (step @p641 :rule cong :premises (@p640 @p639) :args (@t2776)) % 1.33/1.55 (step @p642 :rule bool-impl-true2 :args (@t2776)) % 1.33/1.55 (step @p643 :rule trans :premises (@p642 @p641)) % 1.33/1.55 (step @p644 :rule refl :args (@t2354)) % 1.33/1.55 (step @p645 :rule cong :premises (@p644 @p643) :args (@t2777)) % 1.33/1.55 (step @p646 :rule refl :args (@t2355)) % 1.33/1.55 (step @p647 :rule cong :premises (@p646 @p645) :args (@t2778)) % 1.33/1.55 (step @p648 :rule refl :args (@t2356)) % 1.33/1.55 (step @p649 :rule cong :premises (@p648 @p647) :args (@t2779)) % 1.33/1.55 (step @p650 :rule refl :args (@t2357)) % 1.33/1.55 (step @p651 :rule cong :premises (@p650 @p649) :args (@t2780)) % 1.33/1.55 (step @p652 :rule refl :args (@t2359)) % 1.33/1.55 (step @p653 :rule cong :premises (@p652 @p651) :args (@t2781)) % 1.33/1.55 (step @p654 :rule refl :args (@t2362)) % 1.33/1.55 (step @p655 :rule cong :premises (@p654 @p653) :args (@t2782)) % 1.33/1.55 (step @p656 :rule cong :premises (@p644 @p655) :args (@t2783)) % 1.33/1.55 (step @p657 :rule cong :premises (@p644 @p656) :args (@t2784)) % 1.33/1.55 (step @p658 :rule cong :premises (@p654 @p657) :args (@t2785)) % 1.33/1.55 (step @p659 :rule refl :args (@t2373)) % 1.33/1.55 (step @p660 :rule cong :premises (@p659 @p658) :args (@t2786)) % 1.33/1.55 (step @p661 :rule refl :args (@t2386)) % 1.33/1.55 (step @p662 :rule cong :premises (@p661 @p660) :args (@t2787)) % 1.33/1.55 (step @p663 :rule refl :args (@t2395)) % 1.33/1.55 (step @p664 :rule cong :premises (@p663 @p662) :args (@t2788)) % 1.33/1.55 (step @p665 :rule bool-impl-true2 :args (@t2788)) % 1.33/1.55 (step @p666 :rule trans :premises (@p665 @p664)) % 1.33/1.55 (step @p667 :rule bool-impl-true2 :args (@t2788)) % 1.33/1.55 (step @p668 :rule cong :premises (@p398 @p667) :args (@t2789)) % 1.33/1.55 (step @p669 :rule trans :premises (@p668 @p666)) % 1.33/1.55 (step @p670 :rule cong :premises (@p398 @p667) :args (@t2789)) % 1.33/1.55 (step @p671 :rule cong :premises (@p398 @p670) :args (@t2790)) % 1.33/1.55 (step @p672 :rule trans :premises (@p671 @p669)) % 1.33/1.55 (step @p673 :rule cong :premises (@p398 @p670) :args (@t2790)) % 1.33/1.55 (step @p674 :rule cong :premises (@p398 @p673) :args (@t2791)) % 1.33/1.55 (step @p675 :rule trans :premises (@p674 @p672)) % 1.33/1.55 (step @p676 :rule cong :premises (@p398 @p673) :args (@t2791)) % 1.33/1.55 (step @p677 :rule cong :premises (@p398 @p676) :args (@t2792)) % 1.33/1.55 (step @p678 :rule trans :premises (@p677 @p675)) % 1.33/1.55 (step @p679 :rule refl :args (@t2405)) % 1.33/1.55 (step @p680 :rule cong :premises (@p679 @p678) :args (@t2793)) % 1.33/1.55 (step @p681 :rule cong :premises (@p663 @p680) :args (@t2794)) % 1.33/1.55 (step @p682 :rule bool-impl-true2 :args (@t2794)) % 1.33/1.55 (step @p683 :rule trans :premises (@p682 @p681)) % 1.33/1.55 (step @p684 :rule bool-impl-true2 :args (@t2794)) % 1.33/1.55 (step @p685 :rule cong :premises (@p398 @p684) :args (@t2795)) % 1.33/1.55 (step @p686 :rule trans :premises (@p685 @p683)) % 1.33/1.55 (step @p687 :rule refl :args (@t2408)) % 1.33/1.55 (step @p688 :rule cong :premises (@p687 @p686) :args (@t2796)) % 1.33/1.55 (step @p689 :rule refl :args (@t2414)) % 1.33/1.55 (step @p690 :rule cong :premises (@p689 @p688) :args (@t2797)) % 1.33/1.55 (step @p691 :rule bool-impl-true2 :args (@t2797)) % 1.33/1.55 (step @p692 :rule trans :premises (@p691 @p690)) % 1.33/1.55 (step @p693 :rule bool-impl-true2 :args (@t2797)) % 1.33/1.55 (step @p694 :rule cong :premises (@p398 @p693) :args (@t2798)) % 1.33/1.55 (step @p695 :rule trans :premises (@p694 @p692)) % 1.33/1.55 (step @p696 :rule cong :premises (@p398 @p693) :args (@t2798)) % 1.33/1.55 (step @p697 :rule cong :premises (@p398 @p696) :args (@t2799)) % 1.33/1.55 (step @p698 :rule trans :premises (@p697 @p695)) % 1.33/1.55 (step @p699 :rule refl :args (@t2417)) % 1.33/1.55 (step @p700 :rule cong :premises (@p699 @p698) :args (@t2800)) % 1.33/1.55 (step @p701 :rule refl :args (@t2419)) % 1.33/1.55 (step @p702 :rule cong :premises (@p701 @p700) :args (@t2801)) % 1.33/1.55 (step @p703 :rule bool-impl-true2 :args (@t2801)) % 1.33/1.55 (step @p704 :rule trans :premises (@p703 @p702)) % 1.33/1.55 (step @p705 :rule bool-impl-true2 :args (@t2801)) % 1.33/1.55 (step @p706 :rule cong :premises (@p398 @p705) :args (@t2802)) % 1.33/1.55 (step @p707 :rule trans :premises (@p706 @p704)) % 1.33/1.55 (step @p708 :rule cong :premises (@p398 @p705) :args (@t2802)) % 1.33/1.55 (step @p709 :rule cong :premises (@p398 @p708) :args (@t2803)) % 1.33/1.55 (step @p710 :rule trans :premises (@p709 @p707)) % 1.33/1.55 (step @p711 :rule cong :premises (@p398 @p708) :args (@t2803)) % 1.33/1.55 (step @p712 :rule cong :premises (@p398 @p711) :args (@t2804)) % 1.33/1.55 (step @p713 :rule trans :premises (@p712 @p710)) % 1.33/1.55 (step @p714 :rule cong :premises (@p273 @p713) :args (@t2805)) % 1.33/1.55 (step @p715 :rule cong :premises (@p275 @p714) :args (@t2806)) % 1.33/1.55 (step @p716 :rule cong :premises (@p277 @p715) :args (@t2807)) % 1.33/1.55 (step @p717 :rule cong :premises (@p279 @p716) :args (@t2808)) % 1.33/1.55 (step @p718 :rule cong :premises (@p281 @p717) :args (@t2809)) % 1.33/1.55 (step @p719 :rule cong :premises (@p283 @p718) :args (@t2810)) % 1.33/1.55 (step @p720 :rule cong :premises (@p285 @p719) :args (@t2811)) % 1.33/1.55 (step @p721 :rule cong :premises (@p287 @p720) :args (@t2812)) % 1.33/1.55 (step @p722 :rule cong :premises (@p289 @p721) :args (@t2813)) % 1.33/1.55 (step @p723 :rule cong :premises (@p291 @p722) :args (@t2814)) % 1.33/1.55 (step @p724 :rule cong :premises (@p293 @p723) :args (@t2815)) % 1.33/1.55 (step @p725 :rule cong :premises (@p295 @p724) :args (@t2816)) % 1.33/1.55 (step @p726 :rule cong :premises (@p297 @p725) :args (@t2817)) % 1.33/1.55 (step @p727 :rule cong :premises (@p299 @p726) :args (@t2818)) % 1.33/1.55 (step @p728 :rule cong :premises (@p301 @p727) :args (@t2819)) % 1.33/1.55 (step @p729 :rule cong :premises (@p303 @p728) :args (@t2820)) % 1.33/1.55 (step @p730 :rule cong :premises (@p303 @p729) :args (@t2821)) % 1.33/1.55 (step @p731 :rule cong :premises (@p306 @p730) :args (@t2822)) % 1.33/1.55 (step @p732 :rule cong :premises (@p308 @p731) :args (@t2823)) % 1.33/1.55 (step @p733 :rule cong :premises (@p310 @p732) :args (@t2824)) % 1.33/1.55 (step @p734 :rule cong :premises (@p310 @p733) :args (@t2825)) % 1.33/1.55 (step @p735 :rule cong :premises (@p313 @p734) :args (@t2826)) % 1.33/1.55 (step @p736 :rule refl :args (@t221)) % 1.33/1.55 (step @p737 :rule cong :premises (@p736 @p735) :args (@t2827)) % 1.33/1.55 (step @p738 :rule cong :premises (@p334 @p737) :args (@t2828)) % 1.33/1.55 (step @p739 :rule cong :premises (@p336 @p738) :args (@t2829)) % 1.33/1.55 (step @p740 :rule cong :premises (@p338 @p739) :args (@t2830)) % 1.33/1.55 (step @p741 :rule cong :premises (@p291 @p740) :args (@t2831)) % 1.33/1.55 (step @p742 :rule cong :premises (@p341 @p741) :args (@t2832)) % 1.33/1.55 (step @p743 :rule cong :premises (@p343 @p742) :args (@t2833)) % 1.33/1.55 (step @p744 :rule cong :premises (@p343 @p743) :args (@t2834)) % 1.33/1.55 (step @p745 :rule cong :premises (@p346 @p744) :args (@t2835)) % 1.33/1.55 (step @p746 :rule cong :premises (@p348 @p745) :args (@t2836)) % 1.33/1.55 (step @p747 :rule cong :premises (@p350 @p746) :args (@t2837)) % 1.33/1.55 (step @p748 :rule cong :premises (@p350 @p747) :args (@t2838)) % 1.33/1.55 (step @p749 :rule cong :premises (@p350 @p748) :args (@t2839)) % 1.33/1.55 (step @p750 :rule cong :premises (@p354 @p749) :args (@t2840)) % 1.33/1.55 (step @p751 :rule bool-impl-true2 :args (@t2840)) % 1.33/1.55 (step @p752 :rule trans :premises (@p751 @p750)) % 1.33/1.55 (step @p753 :rule cong :premises (@p356 @p752) :args (@t2841)) % 1.33/1.55 (step @p754 :rule cong :premises (@p358 @p753) :args (@t2842)) % 1.33/1.55 (step @p755 :rule cong :premises (@p360 @p754) :args (@t2843)) % 1.33/1.55 (step @p756 :rule cong :premises (@p362 @p755) :args (@t2844)) % 1.33/1.55 (step @p757 :rule cong :premises (@p364 @p756) :args (@t2845)) % 1.33/1.55 (step @p758 :rule cong :premises (@p366 @p757) :args (@t2846)) % 1.33/1.55 (step @p759 :rule cong :premises (@p368 @p758) :args (@t2847)) % 1.33/1.55 (step @p760 :rule cong :premises (@p370 @p759) :args (@t2848)) % 1.33/1.55 (step @p761 :rule cong :premises (@p372 @p760) :args (@t2849)) % 1.33/1.55 (step @p762 :rule refl :args (@t50)) % 1.33/1.55 (step @p763 :rule cong :premises (@p762 @p761) :args (@t2850)) % 1.33/1.55 (step @p764 :rule cong :premises (@p380 @p763) :args (@t2851)) % 1.33/1.55 (step @p765 :rule cong :premises (@p382 @p764) :args (@t2852)) % 1.33/1.55 (step @p766 :rule cong :premises (@p384 @p765) :args (@t2853)) % 1.33/1.55 (step @p767 :rule cong :premises (@p350 @p766) :args (@t2854)) % 1.33/1.55 (step @p768 :rule cong :premises (@p387 @p767) :args (@t2855)) % 1.33/1.55 (step @p769 :rule cong :premises (@p768) :args ((not @t2855))) % 1.33/1.55 (step @p770 :rule refl :args (@t1639)) % 1.33/1.55 (step @p771 :rule aci_norm :args ((= @t2857 @t1648))) % 1.33/1.55 (step @p772 :rule cong :premises (@p771) :args (@t2858)) % 1.33/1.55 (step @p773 :rule quant-merge-prenex :args ((= (forall @t1138 @t2860) @t2858))) % 1.33/1.55 (step @p774 :rule alpha_equiv :args (@t2861 (@list @t1643 @t1640 @t1641) (@list @t1129 @t2863 @t2862))) % 1.33/1.55 (step @p775 :rule refl :args (@t1636)) % 1.33/1.55 (step @p776 :rule nary_cong :premises (@p775 @p774) :args (@t2864)) % 1.33/1.55 (step @p777 :rule quant-miniscope-or :args ((= @t2860 @t2864))) % 1.33/1.55 (step @p778 :rule trans :premises (@p777 @p776)) % 1.33/1.55 (step @p779 :rule symm :premises (@p778)) % 1.33/1.55 (step @p780 :rule cong :premises (@p779) :args ((forall @t1138 (or @t1636 @t2874)))) % 1.33/1.55 (step @p781 :rule trans :premises (@p780 @p773)) % 1.33/1.55 (step @p782 :rule trans :premises (@p781 @p772)) % 1.33/1.55 (step @p783 :rule refl :args (@t2874)) % 1.33/1.55 (step @p784 :rule refl :args ((tptp.in @t695 @t33))) % 1.33/1.55 (step @p785 :rule refl :args (@t1632)) % 1.33/1.55 (step @p786 :rule refl :args (@t695)) % 1.33/1.55 (step @p787 :rule cong :premises (@p786 @p785) :args (@t1635)) % 1.33/1.55 (step @p788 :rule trans :premises (@p787 @p784)) % 1.33/1.55 (step @p789 :rule refl :args (@t697)) % 1.33/1.55 (step @p790 :rule ho_cong :premises (@p789 @p785)) % 1.33/1.55 (step @p791 :rule cong :premises (@p790 @p788) :args ((= (_ @t697 @t1632) @t1635))) % 1.33/1.55 (step @p792 :rule symm :premises (@p791)) % 1.33/1.55 (step @p793 :rule refl :args (@t1136)) % 1.33/1.55 (step @p794 :rule eq_resolve :premises (@p793 @p792)) % 1.33/1.55 (step @p795 :rule refl :args (@t33)) % 1.33/1.55 (step @p796 :rule cong :premises (@p795 @p785) :args ((= @t33 @t1632))) % 1.33/1.55 (step @p797 :rule symm :premises (@p796)) % 1.33/1.55 (step @p798 :rule eq_resolve :premises (@p795 @p797)) % 1.33/1.55 (step @p799 :rule ho_cong :premises (@p789 @p798)) % 1.33/1.55 (step @p800 :rule trans :premises (@p799 @p794)) % 1.33/1.55 (step @p801 :rule cong :premises (@p800) :args (@t2875)) % 1.33/1.55 (step @p802 :rule nary_cong :premises (@p801 @p783) :args (@t2876)) % 1.33/1.55 (step @p803 :rule cong :premises (@p802) :args ((forall @t1138 @t2876))) % 1.33/1.55 (step @p804 :rule trans :premises (@p803 @p782)) % 1.33/1.55 (step @p805 :rule bool-impl-elim :args (@t1136 @t2874)) % 1.33/1.55 (step @p806 :rule cong :premises (@p805) :args ((forall @t1138 (=> @t1136 @t2874)))) % 1.33/1.55 (step @p807 :rule trans :premises (@p806 @p804)) % 1.33/1.55 (step @p808 :rule aci_norm :args ((= @t2878 @t2872))) % 1.33/1.55 (step @p809 :rule cong :premises (@p808) :args (@t2879)) % 1.33/1.55 (step @p810 :rule quant-merge-prenex :args ((= (forall @t1134 @t2881) @t2879))) % 1.33/1.55 (step @p811 :rule alpha_equiv :args (@t2882 (@list @t2863 @t2862) (@list @t1338 @t2883))) % 1.33/1.55 (step @p812 :rule refl :args (@t2871)) % 1.33/1.55 (step @p813 :rule nary_cong :premises (@p812 @p811) :args (@t2884)) % 1.33/1.55 (step @p814 :rule quant-miniscope-or :args ((= @t2881 @t2884))) % 1.33/1.55 (step @p815 :rule trans :premises (@p814 @p813)) % 1.33/1.55 (step @p816 :rule symm :premises (@p815)) % 1.33/1.55 (step @p817 :rule cong :premises (@p816) :args ((forall @t1134 (or @t2871 @t2893)))) % 1.33/1.55 (step @p818 :rule trans :premises (@p817 @p810)) % 1.33/1.55 (step @p819 :rule trans :premises (@p818 @p809)) % 1.33/1.55 (step @p820 :rule refl :args (@t2893)) % 1.33/1.55 (step @p821 :rule refl :args ((tptp.in @t1129 @t33))) % 1.33/1.55 (step @p822 :rule refl :args (@t1129)) % 1.33/1.55 (step @p823 :rule cong :premises (@p822 @p785) :args (@t2870)) % 1.33/1.55 (step @p824 :rule trans :premises (@p823 @p821)) % 1.33/1.55 (step @p825 :rule refl :args (@t1132)) % 1.33/1.55 (step @p826 :rule ho_cong :premises (@p825 @p785)) % 1.33/1.55 (step @p827 :rule cong :premises (@p826 @p824) :args ((= (_ @t1132 @t1632) @t2870))) % 1.33/1.55 (step @p828 :rule symm :premises (@p827)) % 1.33/1.55 (step @p829 :rule refl :args (@t1133)) % 1.33/1.55 (step @p830 :rule eq_resolve :premises (@p829 @p828)) % 1.33/1.55 (step @p831 :rule ho_cong :premises (@p825 @p798)) % 1.33/1.55 (step @p832 :rule trans :premises (@p831 @p830)) % 1.33/1.55 (step @p833 :rule cong :premises (@p832) :args (@t2894)) % 1.33/1.55 (step @p834 :rule nary_cong :premises (@p833 @p820) :args (@t2895)) % 1.33/1.55 (step @p835 :rule cong :premises (@p834) :args ((forall @t1134 @t2895))) % 1.33/1.55 (step @p836 :rule trans :premises (@p835 @p819)) % 1.33/1.55 (step @p837 :rule bool-impl-elim :args (@t1133 @t2893)) % 1.33/1.55 (step @p838 :rule cong :premises (@p837) :args ((forall @t1134 (=> @t1133 @t2893)))) % 1.33/1.55 (step @p839 :rule trans :premises (@p838 @p836)) % 1.33/1.55 (step @p840 :rule aci_norm :args ((= @t2897 @t2891))) % 1.33/1.55 (step @p841 :rule cong :premises (@p840) :args (@t2898)) % 1.33/1.55 (step @p842 :rule quant-merge-prenex :args ((= (forall @t1346 @t2900) @t2898))) % 1.33/1.55 (step @p843 :rule alpha_equiv :args (@t2901 (@list @t2883) @t2902)) % 1.33/1.55 (step @p844 :rule refl :args (@t2890)) % 1.33/1.55 (step @p845 :rule nary_cong :premises (@p844 @p843) :args (@t2903)) % 1.33/1.55 (step @p846 :rule quant-miniscope-or :args ((= @t2900 @t2903))) % 1.33/1.55 (step @p847 :rule trans :premises (@p846 @p845)) % 1.33/1.55 (step @p848 :rule symm :premises (@p847)) % 1.33/1.55 (step @p849 :rule cong :premises (@p848) :args ((forall @t1346 (or @t2890 @t2907)))) % 1.33/1.55 (step @p850 :rule trans :premises (@p849 @p842)) % 1.33/1.55 (step @p851 :rule trans :premises (@p850 @p841)) % 1.33/1.55 (step @p852 :rule refl :args (@t2907)) % 1.33/1.55 (step @p853 :rule refl :args ((tptp.in @t1338 @t33))) % 1.33/1.55 (step @p854 :rule refl :args (@t1338)) % 1.33/1.55 (step @p855 :rule cong :premises (@p854 @p785) :args (@t2889)) % 1.33/1.55 (step @p856 :rule trans :premises (@p855 @p853)) % 1.33/1.55 (step @p857 :rule refl :args (@t1343)) % 1.33/1.55 (step @p858 :rule ho_cong :premises (@p857 @p785)) % 1.33/1.55 (step @p859 :rule cong :premises (@p858 @p856) :args ((= (_ @t1343 @t1632) @t2889))) % 1.33/1.55 (step @p860 :rule symm :premises (@p859)) % 1.33/1.55 (step @p861 :rule refl :args (@t1344)) % 1.33/1.55 (step @p862 :rule eq_resolve :premises (@p861 @p860)) % 1.33/1.55 (step @p863 :rule ho_cong :premises (@p857 @p798)) % 1.33/1.55 (step @p864 :rule trans :premises (@p863 @p862)) % 1.33/1.55 (step @p865 :rule cong :premises (@p864) :args (@t2908)) % 1.33/1.55 (step @p866 :rule nary_cong :premises (@p865 @p852) :args (@t2909)) % 1.33/1.55 (step @p867 :rule cong :premises (@p866) :args ((forall @t1346 @t2909))) % 1.33/1.55 (step @p868 :rule trans :premises (@p867 @p851)) % 1.33/1.55 (step @p869 :rule bool-impl-elim :args (@t1344 @t2907)) % 1.33/1.55 (step @p870 :rule cong :premises (@p869) :args ((forall @t1346 (=> @t1344 @t2907)))) % 1.33/1.55 (step @p871 :rule trans :premises (@p870 @p868)) % 1.33/1.55 (step @p872 :rule refl :args ((tptp.in @t4 @t1339))) % 1.33/1.55 (step @p873 :rule refl :args (@t2885)) % 1.33/1.55 (step @p874 :rule refl :args (@t4)) % 1.33/1.55 (step @p875 :rule cong :premises (@p874 @p873) :args (@t2904)) % 1.33/1.55 (step @p876 :rule trans :premises (@p875 @p872)) % 1.33/1.55 (step @p877 :rule refl :args (@t5)) % 1.33/1.55 (step @p878 :rule ho_cong :premises (@p877 @p873)) % 1.33/1.55 (step @p879 :rule cong :premises (@p878 @p876) :args ((= (_ @t5 @t2885) @t2904))) % 1.33/1.55 (step @p880 :rule symm :premises (@p879)) % 1.33/1.55 (step @p881 :rule refl :args (@t1340)) % 1.33/1.55 (step @p882 :rule eq_resolve :premises (@p881 @p880)) % 1.33/1.55 (step @p883 :rule refl :args (@t1339)) % 1.33/1.55 (step @p884 :rule cong :premises (@p883 @p873) :args ((= @t1339 @t2885))) % 1.33/1.55 (step @p885 :rule symm :premises (@p884)) % 1.33/1.55 (step @p886 :rule eq_resolve :premises (@p883 @p885)) % 1.33/1.55 (step @p887 :rule ho_cong :premises (@p877 @p886)) % 1.33/1.55 (step @p888 :rule trans :premises (@p887 @p882)) % 1.33/1.55 (step @p889 :rule refl :args ((tptp.in @t4 @t1130))) % 1.33/1.55 (step @p890 :rule refl :args (@t2866)) % 1.33/1.55 (step @p891 :rule cong :premises (@p874 @p890) :args (@t2905)) % 1.33/1.55 (step @p892 :rule trans :premises (@p891 @p889)) % 1.33/1.55 (step @p893 :rule ho_cong :premises (@p877 @p890)) % 1.33/1.55 (step @p894 :rule cong :premises (@p893 @p892) :args ((= (_ @t5 @t2866) @t2905))) % 1.33/1.55 (step @p895 :rule symm :premises (@p894)) % 1.33/1.55 (step @p896 :rule refl :args (@t1212)) % 1.33/1.55 (step @p897 :rule eq_resolve :premises (@p896 @p895)) % 1.33/1.55 (step @p898 :rule refl :args (@t1130)) % 1.33/1.55 (step @p899 :rule cong :premises (@p898 @p890) :args ((= @t1130 @t2866))) % 1.33/1.55 (step @p900 :rule symm :premises (@p899)) % 1.33/1.55 (step @p901 :rule eq_resolve :premises (@p898 @p900)) % 1.33/1.55 (step @p902 :rule ho_cong :premises (@p877 @p901)) % 1.33/1.55 (step @p903 :rule trans :premises (@p902 @p897)) % 1.33/1.55 (step @p904 :rule cong :premises (@p903) :args (@t1213)) % 1.33/1.55 (step @p905 :rule refl :args (@t1794)) % 1.33/1.55 (step @p906 :rule refl :args (@t7)) % 1.33/1.55 (step @p907 :rule cong :premises (@p906 @p905) :args ((= @t7 @t1794))) % 1.33/1.55 (step @p908 :rule symm :premises (@p907)) % 1.33/1.55 (step @p909 :rule eq_resolve :premises (@p906 @p908)) % 1.33/1.55 (step @p910 :rule cong :premises (@p909) :args (@t197)) % 1.33/1.55 (step @p911 :rule nary_cong :premises (@p910 @p904 @p888) :args (@t2910)) % 1.33/1.55 (step @p912 :rule cong :premises (@p911) :args ((forall @t9 @t2910))) % 1.33/1.55 (step @p913 :rule aci_norm :args ((= (or @t197 (or @t1213 @t1340)) @t2910))) % 1.33/1.55 (step @p914 :rule bool-impl-elim :args (@t1212 @t1340)) % 1.33/1.55 (step @p915 :rule refl :args (@t197)) % 1.33/1.55 (step @p916 :rule nary_cong :premises (@p915 @p914) :args ((or @t197 @t1341))) % 1.33/1.55 (step @p917 :rule trans :premises (@p916 @p913)) % 1.33/1.55 (step @p918 :rule bool-impl-elim :args (@t7 @t1341)) % 1.33/1.55 (step @p919 :rule trans :premises (@p918 @p917)) % 1.33/1.55 (step @p920 :rule cong :premises (@p919) :args (@t1342)) % 1.33/1.55 (step @p921 :rule trans :premises (@p920 @p912)) % 1.33/1.55 (step @p922 :rule refl :args (@t1344)) % 1.33/1.55 (step @p923 :rule cong :premises (@p922 @p921) :args (@t1345)) % 1.33/1.55 (step @p924 :rule cong :premises (@p923) :args (@t1347)) % 1.33/1.55 (step @p925 :rule trans :premises (@p924 @p871)) % 1.33/1.55 (step @p926 :rule refl :args (@t1133)) % 1.33/1.55 (step @p927 :rule cong :premises (@p926 @p925) :args (@t1348)) % 1.33/1.55 (step @p928 :rule cong :premises (@p927) :args (@t1349)) % 1.33/1.55 (step @p929 :rule trans :premises (@p928 @p839)) % 1.33/1.55 (step @p930 :rule refl :args (@t1136)) % 1.33/1.55 (step @p931 :rule cong :premises (@p930 @p929) :args (@t1350)) % 1.33/1.55 (step @p932 :rule cong :premises (@p931) :args (@t1351)) % 1.33/1.55 (step @p933 :rule trans :premises (@p932 @p807)) % 1.33/1.55 (step @p934 :rule refl :args (tptp.inIntersectImpInUnion)) % 1.33/1.55 (step @p935 :rule cong :premises (@p934 @p933) :args (@t1352)) % 1.33/1.55 (step @p936 :rule eq_resolve :premises (@p257 @p935)) % 1.33/1.55 (step @p937 :rule cong :premises (@p936 @p770) :args (@t2911)) % 1.33/1.55 (step @p938 :rule aci_norm :args ((= @t2913 @t1656))) % 1.33/1.55 (step @p939 :rule cong :premises (@p938) :args (@t2914)) % 1.33/1.55 (step @p940 :rule quant-merge-prenex :args ((= (forall @t1138 @t2916) @t2914))) % 1.33/1.55 (step @p941 :rule alpha_equiv :args (@t2917 (@list @t1650 @t1651) (@list @t1129 @t2918))) % 1.33/1.55 (step @p942 :rule nary_cong :premises (@p775 @p941) :args (@t2919)) % 1.33/1.55 (step @p943 :rule quant-miniscope-or :args ((= @t2916 @t2919))) % 1.33/1.55 (step @p944 :rule trans :premises (@p943 @p942)) % 1.33/1.55 (step @p945 :rule symm :premises (@p944)) % 1.33/1.55 (step @p946 :rule cong :premises (@p945) :args ((forall @t1138 (or @t1636 @t2926)))) % 1.33/1.55 (step @p947 :rule trans :premises (@p946 @p940)) % 1.33/1.55 (step @p948 :rule trans :premises (@p947 @p939)) % 1.33/1.55 (step @p949 :rule refl :args (@t2926)) % 1.33/1.55 (step @p950 :rule nary_cong :premises (@p801 @p949) :args (@t2927)) % 1.33/1.55 (step @p951 :rule cong :premises (@p950) :args ((forall @t1138 @t2927))) % 1.33/1.55 (step @p952 :rule trans :premises (@p951 @p948)) % 1.33/1.55 (step @p953 :rule bool-impl-elim :args (@t1136 @t2926)) % 1.33/1.55 (step @p954 :rule cong :premises (@p953) :args ((forall @t1138 (=> @t1136 @t2926)))) % 1.33/1.55 (step @p955 :rule trans :premises (@p954 @p952)) % 1.33/1.55 (step @p956 :rule aci_norm :args ((= @t2929 @t2924))) % 1.33/1.55 (step @p957 :rule cong :premises (@p956) :args (@t2930)) % 1.33/1.55 (step @p958 :rule quant-merge-prenex :args ((= (forall @t1134 @t2932) @t2930))) % 1.33/1.55 (step @p959 :rule alpha_equiv :args (@t2933 (@list @t2918) @t2902)) % 1.33/1.55 (step @p960 :rule nary_cong :premises (@p812 @p959) :args (@t2934)) % 1.33/1.55 (step @p961 :rule quant-miniscope-or :args ((= @t2932 @t2934))) % 1.33/1.55 (step @p962 :rule trans :premises (@p961 @p960)) % 1.33/1.55 (step @p963 :rule symm :premises (@p962)) % 1.33/1.55 (step @p964 :rule cong :premises (@p963) :args ((forall @t1134 (or @t2871 @t2938)))) % 1.33/1.55 (step @p965 :rule trans :premises (@p964 @p958)) % 1.33/1.55 (step @p966 :rule trans :premises (@p965 @p957)) % 1.33/1.55 (step @p967 :rule refl :args (@t2938)) % 1.33/1.55 (step @p968 :rule nary_cong :premises (@p833 @p967) :args (@t2939)) % 1.33/1.55 (step @p969 :rule cong :premises (@p968) :args ((forall @t1134 @t2939))) % 1.33/1.55 (step @p970 :rule trans :premises (@p969 @p966)) % 1.33/1.55 (step @p971 :rule bool-impl-elim :args (@t1133 @t2938)) % 1.33/1.55 (step @p972 :rule cong :premises (@p971) :args ((forall @t1134 (=> @t1133 @t2938)))) % 1.33/1.55 (step @p973 :rule trans :premises (@p972 @p970)) % 1.33/1.55 (step @p974 :rule refl :args (@t2935)) % 1.33/1.55 (step @p975 :rule refl :args (@t1165)) % 1.33/1.55 (step @p976 :rule cong :premises (@p975 @p974) :args ((= @t1165 @t2935))) % 1.33/1.55 (step @p977 :rule symm :premises (@p976)) % 1.33/1.55 (step @p978 :rule eq_resolve :premises (@p975 @p977)) % 1.33/1.55 (step @p979 :rule cong :premises (@p978) :args (@t1222)) % 1.33/1.55 (step @p980 :rule refl :args ((tptp.in @t4 @t1142))) % 1.33/1.55 (step @p981 :rule refl :args (@t2921)) % 1.33/1.55 (step @p982 :rule cong :premises (@p874 @p981) :args (@t2937)) % 1.33/1.55 (step @p983 :rule trans :premises (@p982 @p980)) % 1.33/1.55 (step @p984 :rule ho_cong :premises (@p877 @p981)) % 1.33/1.55 (step @p985 :rule cong :premises (@p984 @p983) :args ((= (_ @t5 @t2921) @t2937))) % 1.33/1.55 (step @p986 :rule symm :premises (@p985)) % 1.33/1.55 (step @p987 :rule refl :args (@t1322)) % 1.33/1.55 (step @p988 :rule eq_resolve :premises (@p987 @p986)) % 1.33/1.55 (step @p989 :rule refl :args (@t1142)) % 1.33/1.55 (step @p990 :rule cong :premises (@p989 @p981) :args ((= @t1142 @t2921))) % 1.33/1.55 (step @p991 :rule symm :premises (@p990)) % 1.33/1.55 (step @p992 :rule eq_resolve :premises (@p989 @p991)) % 1.33/1.55 (step @p993 :rule ho_cong :premises (@p877 @p992)) % 1.33/1.55 (step @p994 :rule trans :premises (@p993 @p988)) % 1.33/1.55 (step @p995 :rule nary_cong :premises (@p910 @p994 @p979) :args (@t2940)) % 1.33/1.55 (step @p996 :rule cong :premises (@p995) :args ((forall @t9 @t2940))) % 1.33/1.55 (step @p997 :rule aci_norm :args ((= (or @t197 (or @t1322 @t1222)) @t2940))) % 1.33/1.55 (step @p998 :rule refl :args (@t1222)) % 1.33/1.55 (step @p999 :rule bool-double-not-elim :args (@t1322)) % 1.33/1.55 (step @p1000 :rule nary_cong :premises (@p999 @p998) :args ((or @t2941 @t1222))) % 1.33/1.55 (step @p1001 :rule bool-impl-elim :args (@t1323 @t1222)) % 1.33/1.55 (step @p1002 :rule trans :premises (@p1001 @p1000)) % 1.33/1.55 (step @p1003 :rule nary_cong :premises (@p915 @p1002) :args ((or @t197 @t1331))) % 1.33/1.55 (step @p1004 :rule trans :premises (@p1003 @p997)) % 1.33/1.55 (step @p1005 :rule bool-impl-elim :args (@t7 @t1331)) % 1.33/1.55 (step @p1006 :rule trans :premises (@p1005 @p1004)) % 1.33/1.55 (step @p1007 :rule cong :premises (@p1006) :args (@t1332)) % 1.33/1.55 (step @p1008 :rule trans :premises (@p1007 @p996)) % 1.33/1.55 (step @p1009 :rule cong :premises (@p926 @p1008) :args (@t1333)) % 1.33/1.55 (step @p1010 :rule cong :premises (@p1009) :args (@t1334)) % 1.33/1.55 (step @p1011 :rule trans :premises (@p1010 @p973)) % 1.33/1.55 (step @p1012 :rule cong :premises (@p930 @p1011) :args (@t1335)) % 1.33/1.55 (step @p1013 :rule cong :premises (@p1012) :args (@t1336)) % 1.33/1.55 (step @p1014 :rule trans :premises (@p1013 @p955)) % 1.33/1.55 (step @p1015 :rule refl :args (tptp.binunionTIRcontra)) % 1.33/1.55 (step @p1016 :rule cong :premises (@p1015 @p1014) :args (@t1337)) % 1.33/1.55 (step @p1017 :rule eq_resolve :premises (@p256 @p1016)) % 1.33/1.55 (step @p1018 :rule cong :premises (@p1017 @p937) :args (@t2942)) % 1.33/1.55 (step @p1019 :rule aci_norm :args ((= @t2944 @t1664))) % 1.33/1.55 (step @p1020 :rule cong :premises (@p1019) :args (@t2945)) % 1.33/1.55 (step @p1021 :rule quant-merge-prenex :args ((= (forall @t1138 @t2947) @t2945))) % 1.33/1.55 (step @p1022 :rule alpha_equiv :args (@t2948 (@list @t1660 @t1658) (@list @t1129 @t2949))) % 1.33/1.55 (step @p1023 :rule nary_cong :premises (@p775 @p1022) :args (@t2950)) % 1.33/1.55 (step @p1024 :rule quant-miniscope-or :args ((= @t2947 @t2950))) % 1.33/1.55 (step @p1025 :rule trans :premises (@p1024 @p1023)) % 1.33/1.55 (step @p1026 :rule symm :premises (@p1025)) % 1.33/1.55 (step @p1027 :rule cong :premises (@p1026) :args ((forall @t1138 (or @t1636 @t2956)))) % 1.33/1.55 (step @p1028 :rule trans :premises (@p1027 @p1021)) % 1.33/1.55 (step @p1029 :rule trans :premises (@p1028 @p1020)) % 1.33/1.55 (step @p1030 :rule refl :args (@t2956)) % 1.33/1.55 (step @p1031 :rule nary_cong :premises (@p801 @p1030) :args (@t2957)) % 1.33/1.55 (step @p1032 :rule cong :premises (@p1031) :args ((forall @t1138 @t2957))) % 1.33/1.55 (step @p1033 :rule trans :premises (@p1032 @p1029)) % 1.33/1.55 (step @p1034 :rule bool-impl-elim :args (@t1136 @t2956)) % 1.33/1.55 (step @p1035 :rule cong :premises (@p1034) :args ((forall @t1138 (=> @t1136 @t2956)))) % 1.33/1.55 (step @p1036 :rule trans :premises (@p1035 @p1033)) % 1.33/1.55 (step @p1037 :rule aci_norm :args ((= @t2959 @t2954))) % 1.33/1.55 (step @p1038 :rule cong :premises (@p1037) :args (@t2960)) % 1.33/1.55 (step @p1039 :rule quant-merge-prenex :args ((= (forall @t1134 @t2962) @t2960))) % 1.33/1.55 (step @p1040 :rule alpha_equiv :args (@t2963 (@list @t2949) @t2902)) % 1.33/1.55 (step @p1041 :rule nary_cong :premises (@p812 @p1040) :args (@t2964)) % 1.33/1.55 (step @p1042 :rule quant-miniscope-or :args ((= @t2962 @t2964))) % 1.33/1.55 (step @p1043 :rule trans :premises (@p1042 @p1041)) % 1.33/1.55 (step @p1044 :rule symm :premises (@p1043)) % 1.33/1.55 (step @p1045 :rule cong :premises (@p1044) :args ((forall @t1134 (or @t2871 @t2965)))) % 1.33/1.55 (step @p1046 :rule trans :premises (@p1045 @p1039)) % 1.33/1.55 (step @p1047 :rule trans :premises (@p1046 @p1038)) % 1.33/1.55 (step @p1048 :rule refl :args (@t2965)) % 1.33/1.55 (step @p1049 :rule nary_cong :premises (@p833 @p1048) :args (@t2966)) % 1.33/1.55 (step @p1050 :rule cong :premises (@p1049) :args ((forall @t1134 @t2966))) % 1.33/1.55 (step @p1051 :rule trans :premises (@p1050 @p1047)) % 1.33/1.55 (step @p1052 :rule bool-impl-elim :args (@t1133 @t2965)) % 1.33/1.55 (step @p1053 :rule cong :premises (@p1052) :args ((forall @t1134 (=> @t1133 @t2965)))) % 1.33/1.55 (step @p1054 :rule trans :premises (@p1053 @p1051)) % 1.33/1.55 (step @p1055 :rule refl :args (@t1792)) % 1.33/1.55 (step @p1056 :rule refl :args (@t696)) % 1.33/1.55 (step @p1057 :rule cong :premises (@p1056 @p1055) :args ((= @t696 @t1792))) % 1.33/1.55 (step @p1058 :rule symm :premises (@p1057)) % 1.33/1.55 (step @p1059 :rule eq_resolve :premises (@p1056 @p1058)) % 1.33/1.55 (step @p1060 :rule cong :premises (@p1059) :args (@t1214)) % 1.33/1.55 (step @p1061 :rule nary_cong :premises (@p910 @p994 @p1060) :args (@t2967)) % 1.33/1.55 (step @p1062 :rule cong :premises (@p1061) :args ((forall @t9 @t2967))) % 1.33/1.55 (step @p1063 :rule aci_norm :args ((= (or @t197 (or @t1322 @t1214)) @t2967))) % 1.33/1.55 (step @p1064 :rule refl :args (@t1214)) % 1.33/1.55 (step @p1065 :rule nary_cong :premises (@p999 @p1064) :args ((or @t2941 @t1214))) % 1.33/1.55 (step @p1066 :rule bool-impl-elim :args (@t1323 @t1214)) % 1.33/1.55 (step @p1067 :rule trans :premises (@p1066 @p1065)) % 1.33/1.55 (step @p1068 :rule nary_cong :premises (@p915 @p1067) :args ((or @t197 @t1324))) % 1.33/1.55 (step @p1069 :rule trans :premises (@p1068 @p1063)) % 1.33/1.55 (step @p1070 :rule bool-impl-elim :args (@t7 @t1324)) % 1.33/1.55 (step @p1071 :rule trans :premises (@p1070 @p1069)) % 1.33/1.55 (step @p1072 :rule cong :premises (@p1071) :args (@t1325)) % 1.33/1.55 (step @p1073 :rule trans :premises (@p1072 @p1062)) % 1.33/1.55 (step @p1074 :rule cong :premises (@p926 @p1073) :args (@t1326)) % 1.33/1.55 (step @p1075 :rule cong :premises (@p1074) :args (@t1327)) % 1.33/1.55 (step @p1076 :rule trans :premises (@p1075 @p1054)) % 1.33/1.55 (step @p1077 :rule cong :premises (@p930 @p1076) :args (@t1328)) % 1.33/1.55 (step @p1078 :rule cong :premises (@p1077) :args (@t1329)) % 1.33/1.55 (step @p1079 :rule trans :premises (@p1078 @p1036)) % 1.33/1.55 (step @p1080 :rule refl :args (tptp.binunionTILcontra)) % 1.33/1.55 (step @p1081 :rule cong :premises (@p1080 @p1079) :args (@t1330)) % 1.33/1.55 (step @p1082 :rule eq_resolve :premises (@p255 @p1081)) % 1.33/1.55 (step @p1083 :rule cong :premises (@p1082 @p1018) :args (@t2968)) % 1.33/1.55 (step @p1084 :rule aci_norm :args ((= @t2970 @t1671))) % 1.33/1.55 (step @p1085 :rule cong :premises (@p1084) :args (@t2971)) % 1.33/1.55 (step @p1086 :rule quant-merge-prenex :args ((= (forall @t1138 @t2973) @t2971))) % 1.33/1.55 (step @p1087 :rule alpha_equiv :args (@t2974 (@list @t1667) @t2975)) % 1.33/1.55 (step @p1088 :rule nary_cong :premises (@p775 @p1087) :args (@t2976)) % 1.33/1.55 (step @p1089 :rule quant-miniscope-or :args ((= @t2973 @t2976))) % 1.33/1.55 (step @p1090 :rule trans :premises (@p1089 @p1088)) % 1.33/1.55 (step @p1091 :rule symm :premises (@p1090)) % 1.33/1.55 (step @p1092 :rule cong :premises (@p1091) :args ((forall @t1138 (or @t1636 @t2981)))) % 1.33/1.55 (step @p1093 :rule trans :premises (@p1092 @p1086)) % 1.33/1.55 (step @p1094 :rule trans :premises (@p1093 @p1085)) % 1.33/1.55 (step @p1095 :rule refl :args (@t2981)) % 1.33/1.55 (step @p1096 :rule nary_cong :premises (@p801 @p1095) :args (@t2982)) % 1.33/1.55 (step @p1097 :rule cong :premises (@p1096) :args ((forall @t1138 @t2982))) % 1.33/1.55 (step @p1098 :rule trans :premises (@p1097 @p1094)) % 1.33/1.55 (step @p1099 :rule bool-impl-elim :args (@t1136 @t2981)) % 1.33/1.55 (step @p1100 :rule cong :premises (@p1099) :args ((forall @t1138 (=> @t1136 @t2981)))) % 1.33/1.55 (step @p1101 :rule trans :premises (@p1100 @p1098)) % 1.33/1.55 (step @p1102 :rule refl :args ((tptp.subset @t1129 @t1159))) % 1.33/1.55 (step @p1103 :rule refl :args (@t1666)) % 1.33/1.55 (step @p1104 :rule cong :premises (@p822 @p1103) :args (@t2977)) % 1.33/1.55 (step @p1105 :rule trans :premises (@p1104 @p1102)) % 1.33/1.55 (step @p1106 :rule refl :args (@t1315)) % 1.33/1.55 (step @p1107 :rule ho_cong :premises (@p1106 @p1103)) % 1.33/1.55 (step @p1108 :rule cong :premises (@p1107 @p1105) :args ((= (_ @t1315 @t1666) @t2977))) % 1.33/1.55 (step @p1109 :rule symm :premises (@p1108)) % 1.33/1.55 (step @p1110 :rule refl :args (@t1316)) % 1.33/1.55 (step @p1111 :rule eq_resolve :premises (@p1110 @p1109)) % 1.33/1.55 (step @p1112 :rule refl :args (@t1159)) % 1.33/1.55 (step @p1113 :rule cong :premises (@p1112 @p1103) :args ((= @t1159 @t1666))) % 1.33/1.55 (step @p1114 :rule symm :premises (@p1113)) % 1.33/1.55 (step @p1115 :rule eq_resolve :premises (@p1112 @p1114)) % 1.33/1.55 (step @p1116 :rule ho_cong :premises (@p1106 @p1115)) % 1.33/1.55 (step @p1117 :rule trans :premises (@p1116 @p1111)) % 1.33/1.55 (step @p1118 :rule refl :args ((tptp.subset @t695 @t1231))) % 1.33/1.55 (step @p1119 :rule refl :args (@t2978)) % 1.33/1.55 (step @p1120 :rule cong :premises (@p786 @p1119) :args (@t2979)) % 1.33/1.55 (step @p1121 :rule trans :premises (@p1120 @p1118)) % 1.33/1.55 (step @p1122 :rule refl :args (@t1177)) % 1.33/1.55 (step @p1123 :rule ho_cong :premises (@p1122 @p1119)) % 1.33/1.55 (step @p1124 :rule cong :premises (@p1123 @p1121) :args ((= (_ @t1177 @t2978) @t2979))) % 1.33/1.55 (step @p1125 :rule symm :premises (@p1124)) % 1.33/1.55 (step @p1126 :rule refl :args (@t1232)) % 1.33/1.55 (step @p1127 :rule eq_resolve :premises (@p1126 @p1125)) % 1.33/1.55 (step @p1128 :rule refl :args (@t1231)) % 1.33/1.55 (step @p1129 :rule cong :premises (@p1128 @p1119) :args ((= @t1231 @t2978))) % 1.33/1.55 (step @p1130 :rule symm :premises (@p1129)) % 1.33/1.55 (step @p1131 :rule eq_resolve :premises (@p1128 @p1130)) % 1.33/1.55 (step @p1132 :rule ho_cong :premises (@p1122 @p1131)) % 1.33/1.55 (step @p1133 :rule trans :premises (@p1132 @p1127)) % 1.33/1.55 (step @p1134 :rule cong :premises (@p1133) :args (@t2983)) % 1.33/1.55 (step @p1135 :rule nary_cong :premises (@p833 @p1134 @p1117) :args (@t2984)) % 1.33/1.55 (step @p1136 :rule cong :premises (@p1135) :args ((forall @t1134 @t2984))) % 1.33/1.55 (step @p1137 :rule aci_norm :args ((= (or @t2894 (or @t2983 @t1316)) @t2984))) % 1.33/1.55 (step @p1138 :rule bool-impl-elim :args (@t1232 @t1316)) % 1.33/1.55 (step @p1139 :rule refl :args (@t2894)) % 1.33/1.55 (step @p1140 :rule nary_cong :premises (@p1139 @p1138) :args ((or @t2894 @t1317))) % 1.33/1.55 (step @p1141 :rule trans :premises (@p1140 @p1137)) % 1.33/1.55 (step @p1142 :rule bool-impl-elim :args (@t1133 @t1317)) % 1.33/1.55 (step @p1143 :rule trans :premises (@p1142 @p1141)) % 1.33/1.55 (step @p1144 :rule cong :premises (@p1143) :args (@t1318)) % 1.33/1.55 (step @p1145 :rule trans :premises (@p1144 @p1136)) % 1.33/1.55 (step @p1146 :rule cong :premises (@p930 @p1145) :args (@t1319)) % 1.33/1.55 (step @p1147 :rule cong :premises (@p1146) :args (@t1320)) % 1.33/1.55 (step @p1148 :rule trans :premises (@p1147 @p1101)) % 1.33/1.55 (step @p1149 :rule refl :args (tptp.complementTcontraSubset)) % 1.33/1.55 (step @p1150 :rule cong :premises (@p1149 @p1148) :args (@t1321)) % 1.33/1.55 (step @p1151 :rule eq_resolve :premises (@p254 @p1150)) % 1.33/1.55 (step @p1152 :rule cong :premises (@p1151 @p1083) :args (@t2985)) % 1.33/1.55 (step @p1153 :rule aci_norm :args ((= @t2987 @t1680))) % 1.33/1.55 (step @p1154 :rule cong :premises (@p1153) :args (@t2988)) % 1.33/1.55 (step @p1155 :rule quant-merge-prenex :args ((= (forall @t1138 @t2990) @t2988))) % 1.33/1.55 (step @p1156 :rule alpha_equiv :args (@t2991 (@list @t1675 @t1673) (@list @t1129 @t2992))) % 1.33/1.55 (step @p1157 :rule nary_cong :premises (@p775 @p1156) :args (@t2993)) % 1.33/1.55 (step @p1158 :rule quant-miniscope-or :args ((= @t2990 @t2993))) % 1.33/1.55 (step @p1159 :rule trans :premises (@p1158 @p1157)) % 1.33/1.55 (step @p1160 :rule symm :premises (@p1159)) % 1.33/1.55 (step @p1161 :rule cong :premises (@p1160) :args ((forall @t1138 (or @t1636 @t2999)))) % 1.33/1.55 (step @p1162 :rule trans :premises (@p1161 @p1155)) % 1.33/1.55 (step @p1163 :rule trans :premises (@p1162 @p1154)) % 1.33/1.55 (step @p1164 :rule refl :args (@t2999)) % 1.33/1.55 (step @p1165 :rule nary_cong :premises (@p801 @p1164) :args (@t3000)) % 1.33/1.55 (step @p1166 :rule cong :premises (@p1165) :args ((forall @t1138 @t3000))) % 1.33/1.55 (step @p1167 :rule trans :premises (@p1166 @p1163)) % 1.33/1.55 (step @p1168 :rule bool-impl-elim :args (@t1136 @t2999)) % 1.33/1.55 (step @p1169 :rule cong :premises (@p1168) :args ((forall @t1138 (=> @t1136 @t2999)))) % 1.33/1.55 (step @p1170 :rule trans :premises (@p1169 @p1167)) % 1.33/1.55 (step @p1171 :rule aci_norm :args ((= @t3002 @t2997))) % 1.33/1.55 (step @p1172 :rule cong :premises (@p1171) :args (@t3003)) % 1.33/1.55 (step @p1173 :rule quant-merge-prenex :args ((= (forall @t1134 @t3005) @t3003))) % 1.33/1.55 (step @p1174 :rule alpha_equiv :args (@t3006 (@list @t2992) @t2902)) % 1.33/1.55 (step @p1175 :rule refl :args (@t2980)) % 1.33/1.55 (step @p1176 :rule nary_cong :premises (@p812 @p1175 @p1174) :args (@t3007)) % 1.33/1.55 (step @p1177 :rule quant-miniscope-or :args ((= @t3005 @t3007))) % 1.33/1.55 (step @p1178 :rule trans :premises (@p1177 @p1176)) % 1.33/1.55 (step @p1179 :rule symm :premises (@p1178)) % 1.33/1.55 (step @p1180 :rule cong :premises (@p1179) :args ((forall @t1134 (or @t2871 @t2980 @t3009)))) % 1.33/1.55 (step @p1181 :rule trans :premises (@p1180 @p1173)) % 1.33/1.55 (step @p1182 :rule trans :premises (@p1181 @p1172)) % 1.33/1.55 (step @p1183 :rule refl :args (@t3009)) % 1.33/1.55 (step @p1184 :rule nary_cong :premises (@p833 @p1134 @p1183) :args (@t3010)) % 1.33/1.55 (step @p1185 :rule cong :premises (@p1184) :args ((forall @t1134 @t3010))) % 1.33/1.55 (step @p1186 :rule trans :premises (@p1185 @p1182)) % 1.33/1.55 (step @p1187 :rule aci_norm :args ((= (or @t2894 (or @t2983 @t3009)) @t3010))) % 1.33/1.55 (step @p1188 :rule bool-impl-elim :args (@t1232 @t3009)) % 1.33/1.55 (step @p1189 :rule nary_cong :premises (@p1139 @p1188) :args ((or @t2894 @t3011))) % 1.33/1.55 (step @p1190 :rule trans :premises (@p1189 @p1187)) % 1.33/1.55 (step @p1191 :rule bool-impl-elim :args (@t1133 @t3011)) % 1.33/1.55 (step @p1192 :rule trans :premises (@p1191 @p1190)) % 1.33/1.55 (step @p1193 :rule cong :premises (@p1192) :args ((forall @t1134 (=> @t1133 @t3011)))) % 1.33/1.55 (step @p1194 :rule trans :premises (@p1193 @p1186)) % 1.33/1.55 (step @p1195 :rule refl :args ((tptp.in @t4 @t1159))) % 1.33/1.55 (step @p1196 :rule cong :premises (@p874 @p1103) :args (@t3008)) % 1.33/1.55 (step @p1197 :rule trans :premises (@p1196 @p1195)) % 1.33/1.55 (step @p1198 :rule ho_cong :premises (@p877 @p1103)) % 1.33/1.55 (step @p1199 :rule cong :premises (@p1198 @p1197) :args ((= (_ @t5 @t1666) @t3008))) % 1.33/1.55 (step @p1200 :rule symm :premises (@p1199)) % 1.33/1.55 (step @p1201 :rule refl :args (@t1200)) % 1.33/1.55 (step @p1202 :rule eq_resolve :premises (@p1201 @p1200)) % 1.33/1.55 (step @p1203 :rule ho_cong :premises (@p877 @p1115)) % 1.33/1.55 (step @p1204 :rule trans :premises (@p1203 @p1202)) % 1.33/1.55 (step @p1205 :rule nary_cong :premises (@p910 @p979 @p1204) :args (@t3012)) % 1.33/1.55 (step @p1206 :rule cong :premises (@p1205) :args ((forall @t9 @t3012))) % 1.33/1.55 (step @p1207 :rule aci_norm :args ((= (or @t197 (or @t1222 @t1200)) @t3012))) % 1.33/1.55 (step @p1208 :rule bool-impl-elim :args (@t1165 @t1200)) % 1.33/1.55 (step @p1209 :rule nary_cong :premises (@p915 @p1208) :args ((or @t197 @t1307))) % 1.33/1.55 (step @p1210 :rule trans :premises (@p1209 @p1207)) % 1.33/1.55 (step @p1211 :rule bool-impl-elim :args (@t7 @t1307)) % 1.33/1.55 (step @p1212 :rule trans :premises (@p1211 @p1210)) % 1.33/1.55 (step @p1213 :rule cong :premises (@p1212) :args (@t1308)) % 1.33/1.55 (step @p1214 :rule trans :premises (@p1213 @p1206)) % 1.33/1.55 (step @p1215 :rule refl :args (@t1232)) % 1.33/1.55 (step @p1216 :rule cong :premises (@p1215 @p1214) :args (@t1309)) % 1.33/1.55 (step @p1217 :rule cong :premises (@p926 @p1216) :args (@t1310)) % 1.33/1.55 (step @p1218 :rule cong :premises (@p1217) :args (@t1311)) % 1.33/1.55 (step @p1219 :rule trans :premises (@p1218 @p1194)) % 1.33/1.55 (step @p1220 :rule cong :premises (@p930 @p1219) :args (@t1312)) % 1.33/1.55 (step @p1221 :rule cong :premises (@p1220) :args (@t1313)) % 1.33/1.55 (step @p1222 :rule trans :premises (@p1221 @p1170)) % 1.33/1.55 (step @p1223 :rule refl :args (tptp.contraSubsetComplement)) % 1.33/1.55 (step @p1224 :rule cong :premises (@p1223 @p1222) :args (@t1314)) % 1.33/1.55 (step @p1225 :rule eq_resolve :premises (@p253 @p1224)) % 1.33/1.55 (step @p1226 :rule cong :premises (@p1225 @p1152) :args (@t3013)) % 1.33/1.55 (step @p1227 :rule aci_norm :args ((= @t3015 @t1685))) % 1.33/1.55 (step @p1228 :rule cong :premises (@p1227) :args (@t3016)) % 1.33/1.55 (step @p1229 :rule quant-merge-prenex :args ((= (forall @t1138 @t3018) @t3016))) % 1.33/1.55 (step @p1230 :rule alpha_equiv :args (@t3019 (@list @t1682) @t2975)) % 1.33/1.55 (step @p1231 :rule nary_cong :premises (@p775 @p1230) :args (@t3020)) % 1.33/1.55 (step @p1232 :rule quant-miniscope-or :args ((= @t3018 @t3020))) % 1.33/1.55 (step @p1233 :rule trans :premises (@p1232 @p1231)) % 1.33/1.55 (step @p1234 :rule symm :premises (@p1233)) % 1.33/1.55 (step @p1235 :rule cong :premises (@p1234) :args ((forall @t1138 (or @t1636 @t3024)))) % 1.33/1.55 (step @p1236 :rule trans :premises (@p1235 @p1229)) % 1.33/1.55 (step @p1237 :rule trans :premises (@p1236 @p1228)) % 1.33/1.55 (step @p1238 :rule refl :args (@t3024)) % 1.33/1.55 (step @p1239 :rule nary_cong :premises (@p801 @p1238) :args (@t3025)) % 1.33/1.55 (step @p1240 :rule cong :premises (@p1239) :args ((forall @t1138 @t3025))) % 1.33/1.55 (step @p1241 :rule trans :premises (@p1240 @p1237)) % 1.33/1.55 (step @p1242 :rule bool-impl-elim :args (@t1136 @t3024)) % 1.33/1.55 (step @p1243 :rule cong :premises (@p1242) :args ((forall @t1138 (=> @t1136 @t3024)))) % 1.33/1.55 (step @p1244 :rule trans :premises (@p1243 @p1241)) % 1.33/1.55 (step @p1245 :rule refl :args ((tptp.in @t1159 @t1301))) % 1.33/1.55 (step @p1246 :rule refl :args ((tptp.powerset @t1287))) % 1.33/1.55 (step @p1247 :rule refl :args ((tptp.setminus @t2 @t1130))) % 1.33/1.55 (step @p1248 :rule refl :args (@t2)) % 1.33/1.55 (step @p1249 :rule cong :premises (@p1248 @p890) :args (@t3021)) % 1.33/1.55 (step @p1250 :rule trans :premises (@p1249 @p1247)) % 1.33/1.55 (step @p1251 :rule cong :premises (@p1250) :args (@t3022)) % 1.33/1.55 (step @p1252 :rule trans :premises (@p1251 @p1246)) % 1.33/1.55 (step @p1253 :rule cong :premises (@p1103 @p1252) :args (@t3023)) % 1.33/1.55 (step @p1254 :rule trans :premises (@p1253 @p1245)) % 1.33/1.55 (step @p1255 :rule refl :args (tptp.in)) % 1.33/1.55 (step @p1256 :rule ho_cong :premises (@p1255 @p1103)) % 1.33/1.55 (step @p1257 :rule ho_cong :premises (@p1256 @p1252)) % 1.33/1.55 (step @p1258 :rule cong :premises (@p1257 @p1254) :args ((= (_ @t3026 @t3022) @t3023))) % 1.33/1.55 (step @p1259 :rule symm :premises (@p1258)) % 1.33/1.55 (step @p1260 :rule refl :args (@t1302)) % 1.33/1.55 (step @p1261 :rule eq_resolve :premises (@p1260 @p1259)) % 1.33/1.55 (step @p1262 :rule refl :args (tptp.powerset)) % 1.33/1.55 (step @p1263 :rule ho_cong :premises (@p1262 @p1250)) % 1.33/1.55 (step @p1264 :rule cong :premises (@p1263 @p1252) :args ((= (_ tptp.powerset @t3021) @t3022))) % 1.33/1.55 (step @p1265 :rule symm :premises (@p1264)) % 1.33/1.55 (step @p1266 :rule refl :args (@t1301)) % 1.33/1.55 (step @p1267 :rule eq_resolve :premises (@p1266 @p1265)) % 1.33/1.55 (step @p1268 :rule refl :args (@t567)) % 1.33/1.55 (step @p1269 :rule ho_cong :premises (@p1268 @p890)) % 1.33/1.55 (step @p1270 :rule cong :premises (@p1269 @p1250) :args ((= (_ @t567 @t2866) @t3021))) % 1.33/1.55 (step @p1271 :rule symm :premises (@p1270)) % 1.33/1.55 (step @p1272 :rule refl :args (@t1287)) % 1.33/1.55 (step @p1273 :rule eq_resolve :premises (@p1272 @p1271)) % 1.33/1.55 (step @p1274 :rule ho_cong :premises (@p1268 @p901)) % 1.33/1.55 (step @p1275 :rule trans :premises (@p1274 @p1273)) % 1.33/1.55 (step @p1276 :rule ho_cong :premises (@p1262 @p1275)) % 1.33/1.55 (step @p1277 :rule trans :premises (@p1276 @p1267)) % 1.33/1.55 (step @p1278 :rule ho_cong :premises (@p1255 @p1115)) % 1.33/1.55 (step @p1279 :rule ho_cong :premises (@p1278 @p1277)) % 1.33/1.55 (step @p1280 :rule trans :premises (@p1279 @p1261)) % 1.33/1.55 (step @p1281 :rule nary_cong :premises (@p833 @p1280) :args (@t3027)) % 1.33/1.55 (step @p1282 :rule cong :premises (@p1281) :args ((forall @t1134 @t3027))) % 1.33/1.55 (step @p1283 :rule bool-impl-elim :args (@t1133 @t1302)) % 1.33/1.55 (step @p1284 :rule cong :premises (@p1283) :args (@t1303)) % 1.33/1.55 (step @p1285 :rule trans :premises (@p1284 @p1282)) % 1.33/1.55 (step @p1286 :rule cong :premises (@p930 @p1285) :args (@t1304)) % 1.33/1.55 (step @p1287 :rule cong :premises (@p1286) :args (@t1305)) % 1.33/1.55 (step @p1288 :rule trans :premises (@p1287 @p1244)) % 1.33/1.55 (step @p1289 :rule refl :args (tptp.complementInPowersetComplementIntersect)) % 1.33/1.55 (step @p1290 :rule cong :premises (@p1289 @p1288) :args (@t1306)) % 1.33/1.55 (step @p1291 :rule eq_resolve :premises (@p252 @p1290)) % 1.33/1.55 (step @p1292 :rule cong :premises (@p1291 @p1226) :args (@t3028)) % 1.33/1.55 (step @p1293 :rule aci_norm :args ((= @t3030 @t1690))) % 1.33/1.55 (step @p1294 :rule cong :premises (@p1293) :args (@t3031)) % 1.33/1.55 (step @p1295 :rule quant-merge-prenex :args ((= (forall @t1138 @t3033) @t3031))) % 1.33/1.55 (step @p1296 :rule alpha_equiv :args (@t3034 (@list @t1687) @t2975)) % 1.33/1.55 (step @p1297 :rule nary_cong :premises (@p775 @p1296) :args (@t3035)) % 1.33/1.55 (step @p1298 :rule quant-miniscope-or :args ((= @t3033 @t3035))) % 1.33/1.55 (step @p1299 :rule trans :premises (@p1298 @p1297)) % 1.33/1.55 (step @p1300 :rule symm :premises (@p1299)) % 1.33/1.55 (step @p1301 :rule cong :premises (@p1300) :args ((forall @t1138 (or @t1636 @t3037)))) % 1.33/1.55 (step @p1302 :rule trans :premises (@p1301 @p1295)) % 1.33/1.55 (step @p1303 :rule trans :premises (@p1302 @p1294)) % 1.33/1.55 (step @p1304 :rule refl :args (@t3037)) % 1.33/1.55 (step @p1305 :rule nary_cong :premises (@p801 @p1304) :args (@t3038)) % 1.33/1.55 (step @p1306 :rule cong :premises (@p1305) :args ((forall @t1138 @t3038))) % 1.33/1.55 (step @p1307 :rule trans :premises (@p1306 @p1303)) % 1.33/1.55 (step @p1308 :rule bool-impl-elim :args (@t1136 @t3037)) % 1.33/1.55 (step @p1309 :rule cong :premises (@p1308) :args ((forall @t1138 (=> @t1136 @t3037)))) % 1.33/1.55 (step @p1310 :rule trans :premises (@p1309 @p1307)) % 1.33/1.55 (step @p1311 :rule refl :args ((tptp.subset @t1159 @t1287))) % 1.33/1.55 (step @p1312 :rule cong :premises (@p1103 @p1250) :args (@t3036)) % 1.33/1.55 (step @p1313 :rule trans :premises (@p1312 @p1311)) % 1.33/1.55 (step @p1314 :rule refl :args (tptp.subset)) % 1.33/1.55 (step @p1315 :rule ho_cong :premises (@p1314 @p1103)) % 1.33/1.55 (step @p1316 :rule ho_cong :premises (@p1315 @p1250)) % 1.33/1.55 (step @p1317 :rule cong :premises (@p1316 @p1313) :args ((= (_ (_ tptp.subset @t1666) @t3021) @t3036))) % 1.33/1.55 (step @p1318 :rule symm :premises (@p1317)) % 1.33/1.55 (step @p1319 :rule refl :args (@t1296)) % 1.33/1.55 (step @p1320 :rule eq_resolve :premises (@p1319 @p1318)) % 1.33/1.55 (step @p1321 :rule ho_cong :premises (@p1314 @p1115)) % 1.33/1.55 (step @p1322 :rule ho_cong :premises (@p1321 @p1275)) % 1.33/1.55 (step @p1323 :rule trans :premises (@p1322 @p1320)) % 1.33/1.55 (step @p1324 :rule nary_cong :premises (@p833 @p1323) :args (@t3039)) % 1.33/1.55 (step @p1325 :rule cong :premises (@p1324) :args ((forall @t1134 @t3039))) % 1.33/1.55 (step @p1326 :rule bool-impl-elim :args (@t1133 @t1296)) % 1.33/1.55 (step @p1327 :rule cong :premises (@p1326) :args (@t1297)) % 1.33/1.55 (step @p1328 :rule trans :premises (@p1327 @p1325)) % 1.33/1.55 (step @p1329 :rule cong :premises (@p930 @p1328) :args (@t1298)) % 1.33/1.55 (step @p1330 :rule cong :premises (@p1329) :args (@t1299)) % 1.33/1.55 (step @p1331 :rule trans :premises (@p1330 @p1310)) % 1.33/1.55 (step @p1332 :rule refl :args (tptp.complementSubsetComplementIntersect)) % 1.33/1.55 (step @p1333 :rule cong :premises (@p1332 @p1331) :args (@t1300)) % 1.33/1.55 (step @p1334 :rule eq_resolve :premises (@p251 @p1333)) % 1.33/1.55 (step @p1335 :rule cong :premises (@p1334 @p1292) :args (@t3040)) % 1.33/1.55 (step @p1336 :rule aci_norm :args ((= @t3042 @t1698))) % 1.33/1.55 (step @p1337 :rule cong :premises (@p1336) :args (@t3043)) % 1.33/1.55 (step @p1338 :rule quant-merge-prenex :args ((= (forall @t1138 @t3045) @t3043))) % 1.33/1.55 (step @p1339 :rule alpha_equiv :args (@t3046 (@list @t1692 @t1693) (@list @t1129 @t3047))) % 1.33/1.55 (step @p1340 :rule nary_cong :premises (@p775 @p1339) :args (@t3048)) % 1.33/1.55 (step @p1341 :rule quant-miniscope-or :args ((= @t3045 @t3048))) % 1.33/1.55 (step @p1342 :rule trans :premises (@p1341 @p1340)) % 1.33/1.55 (step @p1343 :rule symm :premises (@p1342)) % 1.33/1.55 (step @p1344 :rule cong :premises (@p1343) :args ((forall @t1138 (or @t1636 @t3054)))) % 1.33/1.55 (step @p1345 :rule trans :premises (@p1344 @p1338)) % 1.33/1.55 (step @p1346 :rule trans :premises (@p1345 @p1337)) % 1.33/1.55 (step @p1347 :rule refl :args (@t3054)) % 1.33/1.55 (step @p1348 :rule nary_cong :premises (@p801 @p1347) :args (@t3055)) % 1.33/1.55 (step @p1349 :rule cong :premises (@p1348) :args ((forall @t1138 @t3055))) % 1.33/1.55 (step @p1350 :rule trans :premises (@p1349 @p1346)) % 1.33/1.55 (step @p1351 :rule bool-impl-elim :args (@t1136 @t3054)) % 1.33/1.55 (step @p1352 :rule cong :premises (@p1351) :args ((forall @t1138 (=> @t1136 @t3054)))) % 1.33/1.55 (step @p1353 :rule trans :premises (@p1352 @p1350)) % 1.33/1.55 (step @p1354 :rule aci_norm :args ((= @t3057 @t3052))) % 1.33/1.55 (step @p1355 :rule cong :premises (@p1354) :args (@t3058)) % 1.33/1.55 (step @p1356 :rule quant-merge-prenex :args ((= (forall @t1134 @t3060) @t3058))) % 1.33/1.55 (step @p1357 :rule alpha_equiv :args (@t3061 (@list @t3047) @t2902)) % 1.33/1.55 (step @p1358 :rule nary_cong :premises (@p812 @p1357) :args (@t3062)) % 1.33/1.55 (step @p1359 :rule quant-miniscope-or :args ((= @t3060 @t3062))) % 1.33/1.55 (step @p1360 :rule trans :premises (@p1359 @p1358)) % 1.33/1.55 (step @p1361 :rule symm :premises (@p1360)) % 1.33/1.55 (step @p1362 :rule cong :premises (@p1361) :args ((forall @t1134 (or @t2871 @t3065)))) % 1.33/1.55 (step @p1363 :rule trans :premises (@p1362 @p1356)) % 1.33/1.55 (step @p1364 :rule trans :premises (@p1363 @p1355)) % 1.33/1.55 (step @p1365 :rule refl :args (@t3065)) % 1.33/1.55 (step @p1366 :rule nary_cong :premises (@p833 @p1365) :args (@t3066)) % 1.33/1.55 (step @p1367 :rule cong :premises (@p1366) :args ((forall @t1134 @t3066))) % 1.33/1.55 (step @p1368 :rule trans :premises (@p1367 @p1364)) % 1.33/1.55 (step @p1369 :rule bool-impl-elim :args (@t1133 @t3065)) % 1.33/1.55 (step @p1370 :rule cong :premises (@p1369) :args ((forall @t1134 (=> @t1133 @t3065)))) % 1.33/1.55 (step @p1371 :rule trans :premises (@p1370 @p1368)) % 1.33/1.55 (step @p1372 :rule refl :args ((tptp.in @t4 @t1287))) % 1.33/1.55 (step @p1373 :rule cong :premises (@p874 @p1250) :args (@t3063)) % 1.33/1.55 (step @p1374 :rule trans :premises (@p1373 @p1372)) % 1.33/1.55 (step @p1375 :rule ho_cong :premises (@p877 @p1250)) % 1.33/1.55 (step @p1376 :rule cong :premises (@p1375 @p1374) :args ((= (_ @t5 @t3021) @t3063))) % 1.33/1.55 (step @p1377 :rule symm :premises (@p1376)) % 1.33/1.55 (step @p1378 :rule refl :args (@t1288)) % 1.33/1.55 (step @p1379 :rule eq_resolve :premises (@p1378 @p1377)) % 1.33/1.55 (step @p1380 :rule ho_cong :premises (@p877 @p1275)) % 1.33/1.55 (step @p1381 :rule trans :premises (@p1380 @p1379)) % 1.33/1.55 (step @p1382 :rule cong :premises (@p1204) :args (@t1201)) % 1.33/1.55 (step @p1383 :rule nary_cong :premises (@p910 @p1382 @p1381) :args (@t3067)) % 1.33/1.55 (step @p1384 :rule cong :premises (@p1383) :args ((forall @t9 @t3067))) % 1.33/1.55 (step @p1385 :rule aci_norm :args ((= (or @t197 (or @t1201 @t1288)) @t3067))) % 1.33/1.55 (step @p1386 :rule bool-impl-elim :args (@t1200 @t1288)) % 1.33/1.55 (step @p1387 :rule nary_cong :premises (@p915 @p1386) :args ((or @t197 @t1289))) % 1.33/1.55 (step @p1388 :rule trans :premises (@p1387 @p1385)) % 1.33/1.55 (step @p1389 :rule bool-impl-elim :args (@t7 @t1289)) % 1.33/1.55 (step @p1390 :rule trans :premises (@p1389 @p1388)) % 1.33/1.55 (step @p1391 :rule cong :premises (@p1390) :args (@t1290)) % 1.33/1.55 (step @p1392 :rule trans :premises (@p1391 @p1384)) % 1.33/1.55 (step @p1393 :rule cong :premises (@p926 @p1392) :args (@t1291)) % 1.33/1.55 (step @p1394 :rule cong :premises (@p1393) :args (@t1292)) % 1.33/1.55 (step @p1395 :rule trans :premises (@p1394 @p1371)) % 1.33/1.55 (step @p1396 :rule cong :premises (@p930 @p1395) :args (@t1293)) % 1.33/1.55 (step @p1397 :rule cong :premises (@p1396) :args (@t1294)) % 1.33/1.55 (step @p1398 :rule trans :premises (@p1397 @p1353)) % 1.33/1.55 (step @p1399 :rule refl :args (tptp.complementImpComplementIntersect)) % 1.33/1.55 (step @p1400 :rule cong :premises (@p1399 @p1398) :args (@t1295)) % 1.33/1.55 (step @p1401 :rule eq_resolve :premises (@p250 @p1400)) % 1.33/1.55 (step @p1402 :rule cong :premises (@p1401 @p1335) :args (@t3068)) % 1.33/1.55 (step @p1403 :rule aci_norm :args ((= @t3070 @t1706))) % 1.33/1.55 (step @p1404 :rule cong :premises (@p1403) :args (@t3071)) % 1.33/1.55 (step @p1405 :rule quant-merge-prenex :args ((= (forall @t1138 @t3073) @t3071))) % 1.33/1.55 (step @p1406 :rule alpha_equiv :args (@t3074 (@list @t1700 @t1701) (@list @t1129 @t3075))) % 1.33/1.55 (step @p1407 :rule nary_cong :premises (@p775 @p1406) :args (@t3076)) % 1.33/1.55 (step @p1408 :rule quant-miniscope-or :args ((= @t3073 @t3076))) % 1.33/1.55 (step @p1409 :rule trans :premises (@p1408 @p1407)) % 1.33/1.55 (step @p1410 :rule symm :premises (@p1409)) % 1.33/1.55 (step @p1411 :rule cong :premises (@p1410) :args ((forall @t1138 (or @t1636 @t3082)))) % 1.33/1.55 (step @p1412 :rule trans :premises (@p1411 @p1405)) % 1.33/1.55 (step @p1413 :rule trans :premises (@p1412 @p1404)) % 1.33/1.55 (step @p1414 :rule refl :args (@t3082)) % 1.33/1.55 (step @p1415 :rule nary_cong :premises (@p801 @p1414) :args (@t3083)) % 1.33/1.55 (step @p1416 :rule cong :premises (@p1415) :args ((forall @t1138 @t3083))) % 1.33/1.55 (step @p1417 :rule trans :premises (@p1416 @p1413)) % 1.33/1.55 (step @p1418 :rule bool-impl-elim :args (@t1136 @t3082)) % 1.33/1.55 (step @p1419 :rule cong :premises (@p1418) :args ((forall @t1138 (=> @t1136 @t3082)))) % 1.33/1.55 (step @p1420 :rule trans :premises (@p1419 @p1417)) % 1.33/1.55 (step @p1421 :rule aci_norm :args ((= @t3085 @t3080))) % 1.33/1.55 (step @p1422 :rule cong :premises (@p1421) :args (@t3086)) % 1.33/1.55 (step @p1423 :rule quant-merge-prenex :args ((= (forall @t1134 @t3088) @t3086))) % 1.33/1.55 (step @p1424 :rule alpha_equiv :args (@t3089 (@list @t3075) @t2902)) % 1.33/1.55 (step @p1425 :rule nary_cong :premises (@p812 @p1424) :args (@t3090)) % 1.33/1.55 (step @p1426 :rule quant-miniscope-or :args ((= @t3088 @t3090))) % 1.33/1.55 (step @p1427 :rule trans :premises (@p1426 @p1425)) % 1.33/1.55 (step @p1428 :rule symm :premises (@p1427)) % 1.33/1.55 (step @p1429 :rule cong :premises (@p1428) :args ((forall @t1134 (or @t2871 @t3091)))) % 1.33/1.55 (step @p1430 :rule trans :premises (@p1429 @p1423)) % 1.33/1.55 (step @p1431 :rule trans :premises (@p1430 @p1422)) % 1.33/1.55 (step @p1432 :rule refl :args (@t3091)) % 1.33/1.55 (step @p1433 :rule nary_cong :premises (@p833 @p1432) :args (@t3092)) % 1.33/1.55 (step @p1434 :rule cong :premises (@p1433) :args ((forall @t1134 @t3092))) % 1.33/1.55 (step @p1435 :rule trans :premises (@p1434 @p1431)) % 1.33/1.55 (step @p1436 :rule bool-impl-elim :args (@t1133 @t3091)) % 1.33/1.55 (step @p1437 :rule cong :premises (@p1436) :args ((forall @t1134 (=> @t1133 @t3091)))) % 1.33/1.55 (step @p1438 :rule trans :premises (@p1437 @p1435)) % 1.33/1.55 (step @p1439 :rule nary_cong :premises (@p910 @p1382 @p904) :args (@t3093)) % 1.33/1.55 (step @p1440 :rule cong :premises (@p1439) :args ((forall @t9 @t3093))) % 1.33/1.55 (step @p1441 :rule aci_norm :args ((= (or @t197 (or @t1201 @t1213)) @t3093))) % 1.33/1.55 (step @p1442 :rule bool-impl-elim :args (@t1200 @t1213)) % 1.33/1.55 (step @p1443 :rule nary_cong :premises (@p915 @p1442) :args ((or @t197 @t1280))) % 1.33/1.55 (step @p1444 :rule trans :premises (@p1443 @p1441)) % 1.33/1.55 (step @p1445 :rule bool-impl-elim :args (@t7 @t1280)) % 1.33/1.55 (step @p1446 :rule trans :premises (@p1445 @p1444)) % 1.33/1.55 (step @p1447 :rule cong :premises (@p1446) :args (@t1281)) % 1.33/1.55 (step @p1448 :rule trans :premises (@p1447 @p1440)) % 1.33/1.55 (step @p1449 :rule cong :premises (@p926 @p1448) :args (@t1282)) % 1.33/1.55 (step @p1450 :rule cong :premises (@p1449) :args (@t1283)) % 1.33/1.55 (step @p1451 :rule trans :premises (@p1450 @p1438)) % 1.33/1.55 (step @p1452 :rule cong :premises (@p930 @p1451) :args (@t1284)) % 1.33/1.55 (step @p1453 :rule cong :premises (@p1452) :args (@t1285)) % 1.33/1.55 (step @p1454 :rule trans :premises (@p1453 @p1420)) % 1.33/1.55 (step @p1455 :rule refl :args (tptp.complementTnotintersectT)) % 1.33/1.55 (step @p1456 :rule cong :premises (@p1455 @p1454) :args (@t1286)) % 1.33/1.55 (step @p1457 :rule eq_resolve :premises (@p249 @p1456)) % 1.33/1.55 (step @p1458 :rule cong :premises (@p1457 @p1402) :args (@t3094)) % 1.33/1.55 (step @p1459 :rule refl :args ((tptp.setminus @t2 @t1159))) % 1.33/1.55 (step @p1460 :rule cong :premises (@p1248 @p1103) :args (@t1708)) % 1.33/1.55 (step @p1461 :rule trans :premises (@p1460 @p1459)) % 1.33/1.55 (step @p1462 :rule ho_cong :premises (@p1268 @p1103)) % 1.33/1.55 (step @p1463 :rule cong :premises (@p1462 @p1461) :args ((= (_ @t567 @t1666) @t1708))) % 1.33/1.55 (step @p1464 :rule symm :premises (@p1463)) % 1.33/1.55 (step @p1465 :rule refl :args (@t1259)) % 1.33/1.55 (step @p1466 :rule eq_resolve :premises (@p1465 @p1464)) % 1.33/1.55 (step @p1467 :rule ho_cong :premises (@p1268 @p1115)) % 1.33/1.55 (step @p1468 :rule trans :premises (@p1467 @p1466)) % 1.33/1.55 (step @p1469 :rule cong :premises (@p786 @p1468) :args (@t1277)) % 1.33/1.55 (step @p1470 :rule nary_cong :premises (@p801 @p1469) :args (@t3095)) % 1.33/1.55 (step @p1471 :rule cong :premises (@p1470) :args ((forall @t1138 @t3095))) % 1.33/1.55 (step @p1472 :rule bool-impl-elim :args (@t1136 @t1277)) % 1.33/1.55 (step @p1473 :rule cong :premises (@p1472) :args (@t1278)) % 1.33/1.55 (step @p1474 :rule trans :premises (@p1473 @p1471)) % 1.33/1.55 (step @p1475 :rule refl :args (tptp.doubleComplementEq)) % 1.33/1.55 (step @p1476 :rule cong :premises (@p1475 @p1474) :args (@t1279)) % 1.33/1.55 (step @p1477 :rule eq_resolve :premises (@p248 @p1476)) % 1.33/1.55 (step @p1478 :rule cong :premises (@p1477 @p1458) :args (@t3096)) % 1.33/1.55 (step @p1479 :rule refl :args ((tptp.subset @t1259 @t695))) % 1.33/1.55 (step @p1480 :rule cong :premises (@p1461 @p786) :args (@t1709)) % 1.33/1.55 (step @p1481 :rule trans :premises (@p1480 @p1479)) % 1.33/1.55 (step @p1482 :rule ho_cong :premises (@p1314 @p1461)) % 1.33/1.55 (step @p1483 :rule ho_cong :premises (@p1482 @p786)) % 1.33/1.55 (step @p1484 :rule cong :premises (@p1483 @p1481) :args ((= (_ (_ tptp.subset @t1708) @t695) @t1709))) % 1.33/1.55 (step @p1485 :rule symm :premises (@p1484)) % 1.33/1.55 (step @p1486 :rule refl :args (@t1274)) % 1.33/1.55 (step @p1487 :rule eq_resolve :premises (@p1486 @p1485)) % 1.33/1.55 (step @p1488 :rule ho_cong :premises (@p1314 @p1468)) % 1.33/1.55 (step @p1489 :rule ho_cong :premises (@p1488 @p786)) % 1.33/1.55 (step @p1490 :rule trans :premises (@p1489 @p1487)) % 1.33/1.55 (step @p1491 :rule nary_cong :premises (@p801 @p1490) :args (@t3097)) % 1.33/1.55 (step @p1492 :rule cong :premises (@p1491) :args ((forall @t1138 @t3097))) % 1.33/1.55 (step @p1493 :rule bool-impl-elim :args (@t1136 @t1274)) % 1.33/1.55 (step @p1494 :rule cong :premises (@p1493) :args (@t1275)) % 1.33/1.55 (step @p1495 :rule trans :premises (@p1494 @p1492)) % 1.33/1.55 (step @p1496 :rule refl :args (tptp.doubleComplementSub2)) % 1.33/1.55 (step @p1497 :rule cong :premises (@p1496 @p1495) :args (@t1276)) % 1.33/1.55 (step @p1498 :rule eq_resolve :premises (@p247 @p1497)) % 1.33/1.55 (step @p1499 :rule cong :premises (@p1498 @p1478) :args (@t3098)) % 1.33/1.55 (step @p1500 :rule refl :args ((tptp.subset @t695 @t1259))) % 1.33/1.55 (step @p1501 :rule cong :premises (@p786 @p1461) :args (@t1710)) % 1.33/1.55 (step @p1502 :rule trans :premises (@p1501 @p1500)) % 1.33/1.55 (step @p1503 :rule ho_cong :premises (@p1122 @p1461)) % 1.33/1.55 (step @p1504 :rule cong :premises (@p1503 @p1502) :args ((= (_ @t1177 @t1708) @t1710))) % 1.33/1.55 (step @p1505 :rule symm :premises (@p1504)) % 1.33/1.55 (step @p1506 :rule refl :args (@t1271)) % 1.33/1.55 (step @p1507 :rule eq_resolve :premises (@p1506 @p1505)) % 1.33/1.55 (step @p1508 :rule ho_cong :premises (@p1122 @p1468)) % 1.33/1.55 (step @p1509 :rule trans :premises (@p1508 @p1507)) % 1.33/1.55 (step @p1510 :rule nary_cong :premises (@p801 @p1509) :args (@t3099)) % 1.33/1.55 (step @p1511 :rule cong :premises (@p1510) :args ((forall @t1138 @t3099))) % 1.33/1.55 (step @p1512 :rule bool-impl-elim :args (@t1136 @t1271)) % 1.33/1.55 (step @p1513 :rule cong :premises (@p1512) :args (@t1272)) % 1.33/1.55 (step @p1514 :rule trans :premises (@p1513 @p1511)) % 1.33/1.55 (step @p1515 :rule refl :args (tptp.doubleComplementSub1)) % 1.33/1.55 (step @p1516 :rule cong :premises (@p1515 @p1514) :args (@t1273)) % 1.33/1.55 (step @p1517 :rule eq_resolve :premises (@p246 @p1516)) % 1.33/1.55 (step @p1518 :rule cong :premises (@p1517 @p1499) :args (@t3100)) % 1.33/1.55 (step @p1519 :rule aci_norm :args ((= @t3102 @t1715))) % 1.33/1.55 (step @p1520 :rule cong :premises (@p1519) :args (@t3103)) % 1.33/1.55 (step @p1521 :rule quant-merge-prenex :args ((= (forall @t1138 @t3105) @t3103))) % 1.33/1.55 (step @p1522 :rule alpha_equiv :args (@t3106 (@list @t1711) @t2902)) % 1.33/1.55 (step @p1523 :rule nary_cong :premises (@p775 @p1522) :args (@t3107)) % 1.33/1.55 (step @p1524 :rule quant-miniscope-or :args ((= @t3105 @t3107))) % 1.33/1.55 (step @p1525 :rule trans :premises (@p1524 @p1523)) % 1.33/1.55 (step @p1526 :rule symm :premises (@p1525)) % 1.33/1.55 (step @p1527 :rule cong :premises (@p1526) :args ((forall @t1138 (or @t1636 @t3109)))) % 1.33/1.55 (step @p1528 :rule trans :premises (@p1527 @p1521)) % 1.33/1.55 (step @p1529 :rule trans :premises (@p1528 @p1520)) % 1.33/1.55 (step @p1530 :rule refl :args (@t3109)) % 1.33/1.55 (step @p1531 :rule nary_cong :premises (@p801 @p1530) :args (@t3110)) % 1.33/1.55 (step @p1532 :rule cong :premises (@p1531) :args ((forall @t1138 @t3110))) % 1.33/1.55 (step @p1533 :rule trans :premises (@p1532 @p1529)) % 1.33/1.55 (step @p1534 :rule bool-impl-elim :args (@t1136 @t3109)) % 1.33/1.55 (step @p1535 :rule cong :premises (@p1534) :args ((forall @t1138 (=> @t1136 @t3109)))) % 1.33/1.55 (step @p1536 :rule trans :premises (@p1535 @p1533)) % 1.33/1.55 (step @p1537 :rule refl :args ((tptp.in @t4 @t1259))) % 1.33/1.55 (step @p1538 :rule cong :premises (@p874 @p1461) :args (@t3108)) % 1.33/1.55 (step @p1539 :rule trans :premises (@p1538 @p1537)) % 1.33/1.55 (step @p1540 :rule ho_cong :premises (@p877 @p1461)) % 1.33/1.55 (step @p1541 :rule cong :premises (@p1540 @p1539) :args ((= (_ @t5 @t1708) @t3108))) % 1.33/1.55 (step @p1542 :rule symm :premises (@p1541)) % 1.33/1.55 (step @p1543 :rule refl :args (@t1260)) % 1.33/1.55 (step @p1544 :rule eq_resolve :premises (@p1543 @p1542)) % 1.33/1.55 (step @p1545 :rule ho_cong :premises (@p877 @p1468)) % 1.33/1.55 (step @p1546 :rule trans :premises (@p1545 @p1544)) % 1.33/1.55 (step @p1547 :rule cong :premises (@p1546) :args (@t3111)) % 1.33/1.55 (step @p1548 :rule nary_cong :premises (@p910 @p1547 @p1059) :args (@t3112)) % 1.33/1.55 (step @p1549 :rule cong :premises (@p1548) :args ((forall @t9 @t3112))) % 1.33/1.55 (step @p1550 :rule aci_norm :args ((= (or @t197 (or @t3111 @t696)) @t3112))) % 1.33/1.55 (step @p1551 :rule bool-impl-elim :args (@t1260 @t696)) % 1.33/1.55 (step @p1552 :rule nary_cong :premises (@p915 @p1551) :args ((or @t197 @t1266))) % 1.33/1.55 (step @p1553 :rule trans :premises (@p1552 @p1550)) % 1.33/1.55 (step @p1554 :rule bool-impl-elim :args (@t7 @t1266)) % 1.33/1.55 (step @p1555 :rule trans :premises (@p1554 @p1553)) % 1.33/1.55 (step @p1556 :rule cong :premises (@p1555) :args (@t1267)) % 1.33/1.55 (step @p1557 :rule trans :premises (@p1556 @p1549)) % 1.33/1.55 (step @p1558 :rule cong :premises (@p930 @p1557) :args (@t1268)) % 1.33/1.55 (step @p1559 :rule cong :premises (@p1558) :args (@t1269)) % 1.33/1.55 (step @p1560 :rule trans :premises (@p1559 @p1536)) % 1.33/1.55 (step @p1561 :rule refl :args (tptp.doubleComplementE1)) % 1.33/1.55 (step @p1562 :rule cong :premises (@p1561 @p1560) :args (@t1270)) % 1.33/1.55 (step @p1563 :rule eq_resolve :premises (@p245 @p1562)) % 1.33/1.55 (step @p1564 :rule cong :premises (@p1563 @p1518) :args (@t3113)) % 1.33/1.55 (step @p1565 :rule aci_norm :args ((= @t3115 @t1721))) % 1.33/1.55 (step @p1566 :rule cong :premises (@p1565) :args (@t3116)) % 1.33/1.55 (step @p1567 :rule quant-merge-prenex :args ((= (forall @t1138 @t3118) @t3116))) % 1.33/1.55 (step @p1568 :rule alpha_equiv :args (@t3119 (@list @t1717) @t2902)) % 1.33/1.55 (step @p1569 :rule nary_cong :premises (@p775 @p1568) :args (@t3120)) % 1.33/1.55 (step @p1570 :rule quant-miniscope-or :args ((= @t3118 @t3120))) % 1.33/1.55 (step @p1571 :rule trans :premises (@p1570 @p1569)) % 1.33/1.55 (step @p1572 :rule symm :premises (@p1571)) % 1.33/1.55 (step @p1573 :rule cong :premises (@p1572) :args ((forall @t1138 (or @t1636 @t3121)))) % 1.33/1.55 (step @p1574 :rule trans :premises (@p1573 @p1567)) % 1.33/1.55 (step @p1575 :rule trans :premises (@p1574 @p1566)) % 1.33/1.55 (step @p1576 :rule refl :args (@t3121)) % 1.33/1.55 (step @p1577 :rule nary_cong :premises (@p801 @p1576) :args (@t3122)) % 1.33/1.55 (step @p1578 :rule cong :premises (@p1577) :args ((forall @t1138 @t3122))) % 1.33/1.55 (step @p1579 :rule trans :premises (@p1578 @p1575)) % 1.33/1.55 (step @p1580 :rule bool-impl-elim :args (@t1136 @t3121)) % 1.33/1.55 (step @p1581 :rule cong :premises (@p1580) :args ((forall @t1138 (=> @t1136 @t3121)))) % 1.33/1.55 (step @p1582 :rule trans :premises (@p1581 @p1579)) % 1.33/1.55 (step @p1583 :rule nary_cong :premises (@p910 @p1060 @p1546) :args (@t3123)) % 1.33/1.55 (step @p1584 :rule cong :premises (@p1583) :args ((forall @t9 @t3123))) % 1.33/1.55 (step @p1585 :rule aci_norm :args ((= (or @t197 (or @t1214 @t1260)) @t3123))) % 1.33/1.55 (step @p1586 :rule bool-impl-elim :args (@t696 @t1260)) % 1.33/1.55 (step @p1587 :rule nary_cong :premises (@p915 @p1586) :args ((or @t197 @t1261))) % 1.33/1.55 (step @p1588 :rule trans :premises (@p1587 @p1585)) % 1.33/1.55 (step @p1589 :rule bool-impl-elim :args (@t7 @t1261)) % 1.33/1.55 (step @p1590 :rule trans :premises (@p1589 @p1588)) % 1.33/1.55 (step @p1591 :rule cong :premises (@p1590) :args (@t1262)) % 1.33/1.55 (step @p1592 :rule trans :premises (@p1591 @p1584)) % 1.33/1.55 (step @p1593 :rule cong :premises (@p930 @p1592) :args (@t1263)) % 1.33/1.55 (step @p1594 :rule cong :premises (@p1593) :args (@t1264)) % 1.33/1.55 (step @p1595 :rule trans :premises (@p1594 @p1582)) % 1.33/1.55 (step @p1596 :rule refl :args (tptp.doubleComplementI1)) % 1.33/1.55 (step @p1597 :rule cong :premises (@p1596 @p1595) :args (@t1265)) % 1.33/1.55 (step @p1598 :rule eq_resolve :premises (@p244 @p1597)) % 1.33/1.55 (step @p1599 :rule cong :premises (@p1598 @p1564) :args (@t3124)) % 1.33/1.55 (step @p1600 :rule aci_norm :args ((= @t3126 @t1727))) % 1.33/1.55 (step @p1601 :rule cong :premises (@p1600) :args (@t3127)) % 1.33/1.55 (step @p1602 :rule quant-merge-prenex :args ((= (forall @t1138 @t3129) @t3127))) % 1.33/1.55 (step @p1603 :rule alpha_equiv :args (@t3130 (@list @t1723) @t2975)) % 1.33/1.55 (step @p1604 :rule nary_cong :premises (@p775 @p1603) :args (@t3131)) % 1.33/1.55 (step @p1605 :rule quant-miniscope-or :args ((= @t3129 @t3131))) % 1.33/1.55 (step @p1606 :rule trans :premises (@p1605 @p1604)) % 1.33/1.55 (step @p1607 :rule symm :premises (@p1606)) % 1.33/1.55 (step @p1608 :rule cong :premises (@p1607) :args ((forall @t1138 (or @t1636 @t3134)))) % 1.33/1.55 (step @p1609 :rule trans :premises (@p1608 @p1602)) % 1.33/1.55 (step @p1610 :rule trans :premises (@p1609 @p1601)) % 1.33/1.55 (step @p1611 :rule refl :args (@t3134)) % 1.33/1.55 (step @p1612 :rule nary_cong :premises (@p801 @p1611) :args (@t3135)) % 1.33/1.55 (step @p1613 :rule cong :premises (@p1612) :args ((forall @t1138 @t3135))) % 1.33/1.55 (step @p1614 :rule trans :premises (@p1613 @p1610)) % 1.33/1.55 (step @p1615 :rule bool-impl-elim :args (@t1136 @t3134)) % 1.33/1.55 (step @p1616 :rule cong :premises (@p1615) :args ((forall @t1138 (=> @t1136 @t3134)))) % 1.33/1.55 (step @p1617 :rule trans :premises (@p1616 @p1614)) % 1.33/1.55 (step @p1618 :rule refl :args (@t3132)) % 1.33/1.55 (step @p1619 :rule refl :args (@t1178)) % 1.33/1.55 (step @p1620 :rule cong :premises (@p1619 @p1618) :args ((= @t1178 @t3132))) % 1.33/1.55 (step @p1621 :rule symm :premises (@p1620)) % 1.33/1.55 (step @p1622 :rule eq_resolve :premises (@p1619 @p1621)) % 1.33/1.55 (step @p1623 :rule refl :args ((tptp.subset @t1231 @t1159))) % 1.33/1.55 (step @p1624 :rule cong :premises (@p1119 @p1103) :args (@t3133)) % 1.33/1.55 (step @p1625 :rule trans :premises (@p1624 @p1623)) % 1.33/1.55 (step @p1626 :rule ho_cong :premises (@p1314 @p1119)) % 1.33/1.55 (step @p1627 :rule ho_cong :premises (@p1626 @p1103)) % 1.33/1.55 (step @p1628 :rule cong :premises (@p1627 @p1625) :args ((= (_ (_ tptp.subset @t2978) @t1666) @t3133))) % 1.33/1.55 (step @p1629 :rule symm :premises (@p1628)) % 1.33/1.55 (step @p1630 :rule refl :args (@t1248)) % 1.33/1.55 (step @p1631 :rule eq_resolve :premises (@p1630 @p1629)) % 1.33/1.55 (step @p1632 :rule ho_cong :premises (@p1314 @p1131)) % 1.33/1.55 (step @p1633 :rule ho_cong :premises (@p1632 @p1115)) % 1.33/1.55 (step @p1634 :rule trans :premises (@p1633 @p1631)) % 1.33/1.55 (step @p1635 :rule cong :premises (@p1634) :args (@t3136)) % 1.33/1.55 (step @p1636 :rule nary_cong :premises (@p833 @p1635 @p1622) :args (@t3137)) % 1.33/1.55 (step @p1637 :rule cong :premises (@p1636) :args ((forall @t1134 @t3137))) % 1.33/1.55 (step @p1638 :rule aci_norm :args ((= (or @t2894 (or @t3136 @t1178)) @t3137))) % 1.33/1.55 (step @p1639 :rule bool-impl-elim :args (@t1248 @t1178)) % 1.33/1.55 (step @p1640 :rule nary_cong :premises (@p1139 @p1639) :args ((or @t2894 @t1254))) % 1.33/1.55 (step @p1641 :rule trans :premises (@p1640 @p1638)) % 1.33/1.55 (step @p1642 :rule bool-impl-elim :args (@t1133 @t1254)) % 1.33/1.55 (step @p1643 :rule trans :premises (@p1642 @p1641)) % 1.33/1.55 (step @p1644 :rule cong :premises (@p1643) :args (@t1255)) % 1.33/1.55 (step @p1645 :rule trans :premises (@p1644 @p1637)) % 1.33/1.55 (step @p1646 :rule cong :premises (@p930 @p1645) :args (@t1256)) % 1.33/1.55 (step @p1647 :rule cong :premises (@p1646) :args (@t1257)) % 1.33/1.55 (step @p1648 :rule trans :premises (@p1647 @p1617)) % 1.33/1.55 (step @p1649 :rule refl :args (tptp.contrasubsetT3)) % 1.33/1.55 (step @p1650 :rule cong :premises (@p1649 @p1648) :args (@t1258)) % 1.33/1.55 (step @p1651 :rule eq_resolve :premises (@p243 @p1650)) % 1.33/1.55 (step @p1652 :rule cong :premises (@p1651 @p1599) :args (@t3138)) % 1.33/1.55 (step @p1653 :rule aci_norm :args ((= @t3140 @t1733))) % 1.33/1.55 (step @p1654 :rule cong :premises (@p1653) :args (@t3141)) % 1.33/1.55 (step @p1655 :rule quant-merge-prenex :args ((= (forall @t1138 @t3143) @t3141))) % 1.33/1.55 (step @p1656 :rule alpha_equiv :args (@t3144 (@list @t1729) @t2975)) % 1.33/1.55 (step @p1657 :rule nary_cong :premises (@p775 @p1656) :args (@t3145)) % 1.33/1.55 (step @p1658 :rule quant-miniscope-or :args ((= @t3143 @t3145))) % 1.33/1.55 (step @p1659 :rule trans :premises (@p1658 @p1657)) % 1.33/1.55 (step @p1660 :rule symm :premises (@p1659)) % 1.33/1.55 (step @p1661 :rule cong :premises (@p1660) :args ((forall @t1138 (or @t1636 @t3147)))) % 1.33/1.55 (step @p1662 :rule trans :premises (@p1661 @p1655)) % 1.33/1.55 (step @p1663 :rule trans :premises (@p1662 @p1654)) % 1.33/1.55 (step @p1664 :rule refl :args (@t3147)) % 1.33/1.55 (step @p1665 :rule nary_cong :premises (@p801 @p1664) :args (@t3148)) % 1.33/1.55 (step @p1666 :rule cong :premises (@p1665) :args ((forall @t1138 @t3148))) % 1.33/1.55 (step @p1667 :rule trans :premises (@p1666 @p1663)) % 1.33/1.55 (step @p1668 :rule bool-impl-elim :args (@t1136 @t3147)) % 1.33/1.55 (step @p1669 :rule cong :premises (@p1668) :args ((forall @t1138 (=> @t1136 @t3147)))) % 1.33/1.55 (step @p1670 :rule trans :premises (@p1669 @p1667)) % 1.33/1.55 (step @p1671 :rule cong :premises (@p1622) :args (@t3149)) % 1.33/1.55 (step @p1672 :rule nary_cong :premises (@p833 @p1671 @p1634) :args (@t3150)) % 1.33/1.55 (step @p1673 :rule cong :premises (@p1672) :args ((forall @t1134 @t3150))) % 1.33/1.55 (step @p1674 :rule aci_norm :args ((= (or @t2894 (or @t3149 @t1248)) @t3150))) % 1.33/1.55 (step @p1675 :rule bool-impl-elim :args (@t1178 @t1248)) % 1.33/1.55 (step @p1676 :rule nary_cong :premises (@p1139 @p1675) :args ((or @t2894 @t1249))) % 1.33/1.55 (step @p1677 :rule trans :premises (@p1676 @p1674)) % 1.33/1.55 (step @p1678 :rule bool-impl-elim :args (@t1133 @t1249)) % 1.33/1.55 (step @p1679 :rule trans :premises (@p1678 @p1677)) % 1.33/1.55 (step @p1680 :rule cong :premises (@p1679) :args (@t1250)) % 1.33/1.55 (step @p1681 :rule trans :premises (@p1680 @p1673)) % 1.33/1.55 (step @p1682 :rule cong :premises (@p930 @p1681) :args (@t1251)) % 1.33/1.55 (step @p1683 :rule cong :premises (@p1682) :args (@t1252)) % 1.33/1.55 (step @p1684 :rule trans :premises (@p1683 @p1670)) % 1.33/1.55 (step @p1685 :rule refl :args (tptp.contrasubsetT2)) % 1.33/1.55 (step @p1686 :rule cong :premises (@p1685 @p1684) :args (@t1253)) % 1.33/1.55 (step @p1687 :rule eq_resolve :premises (@p242 @p1686)) % 1.33/1.55 (step @p1688 :rule cong :premises (@p1687 @p1652) :args (@t3151)) % 1.33/1.55 (step @p1689 :rule aci_norm :args ((= @t3153 @t1742))) % 1.33/1.55 (step @p1690 :rule cong :premises (@p1689) :args (@t3154)) % 1.33/1.55 (step @p1691 :rule quant-merge-prenex :args ((= (forall @t1138 @t3156) @t3154))) % 1.33/1.55 (step @p1692 :rule alpha_equiv :args (@t3157 (@list @t1737 @t1735) (@list @t1129 @t3158))) % 1.33/1.55 (step @p1693 :rule nary_cong :premises (@p775 @p1692) :args (@t3159)) % 1.33/1.55 (step @p1694 :rule quant-miniscope-or :args ((= @t3156 @t3159))) % 1.33/1.55 (step @p1695 :rule trans :premises (@p1694 @p1693)) % 1.33/1.55 (step @p1696 :rule symm :premises (@p1695)) % 1.33/1.55 (step @p1697 :rule cong :premises (@p1696) :args ((forall @t1138 (or @t1636 @t3165)))) % 1.33/1.55 (step @p1698 :rule trans :premises (@p1697 @p1691)) % 1.33/1.55 (step @p1699 :rule trans :premises (@p1698 @p1690)) % 1.33/1.55 (step @p1700 :rule refl :args (@t3165)) % 1.33/1.55 (step @p1701 :rule nary_cong :premises (@p801 @p1700) :args (@t3166)) % 1.33/1.55 (step @p1702 :rule cong :premises (@p1701) :args ((forall @t1138 @t3166))) % 1.33/1.55 (step @p1703 :rule trans :premises (@p1702 @p1699)) % 1.33/1.55 (step @p1704 :rule bool-impl-elim :args (@t1136 @t3165)) % 1.33/1.55 (step @p1705 :rule cong :premises (@p1704) :args ((forall @t1138 (=> @t1136 @t3165)))) % 1.33/1.55 (step @p1706 :rule trans :premises (@p1705 @p1703)) % 1.33/1.55 (step @p1707 :rule aci_norm :args ((= @t3168 @t3163))) % 1.33/1.55 (step @p1708 :rule cong :premises (@p1707) :args (@t3169)) % 1.33/1.55 (step @p1709 :rule quant-merge-prenex :args ((= (forall @t1134 @t3171) @t3169))) % 1.33/1.55 (step @p1710 :rule alpha_equiv :args (@t3172 (@list @t3158) @t2902)) % 1.33/1.55 (step @p1711 :rule refl :args (@t3146)) % 1.33/1.55 (step @p1712 :rule nary_cong :premises (@p812 @p1711 @p1710) :args (@t3173)) % 1.33/1.55 (step @p1713 :rule quant-miniscope-or :args ((= @t3171 @t3173))) % 1.33/1.55 (step @p1714 :rule trans :premises (@p1713 @p1712)) % 1.33/1.55 (step @p1715 :rule symm :premises (@p1714)) % 1.33/1.55 (step @p1716 :rule cong :premises (@p1715) :args ((forall @t1134 (or @t2871 @t3146 @t3174)))) % 1.33/1.55 (step @p1717 :rule trans :premises (@p1716 @p1709)) % 1.33/1.55 (step @p1718 :rule trans :premises (@p1717 @p1708)) % 1.33/1.55 (step @p1719 :rule refl :args (@t3174)) % 1.33/1.55 (step @p1720 :rule nary_cong :premises (@p833 @p1671 @p1719) :args (@t3175)) % 1.33/1.55 (step @p1721 :rule cong :premises (@p1720) :args ((forall @t1134 @t3175))) % 1.33/1.55 (step @p1722 :rule trans :premises (@p1721 @p1718)) % 1.33/1.55 (step @p1723 :rule aci_norm :args ((= (or @t2894 @t3176) @t3175))) % 1.33/1.55 (step @p1724 :rule bool-impl-elim :args (@t1133 @t3176)) % 1.33/1.55 (step @p1725 :rule trans :premises (@p1724 @p1723)) % 1.33/1.55 (step @p1726 :rule cong :premises (@p1725) :args ((forall @t1134 (=> @t1133 @t3176)))) % 1.33/1.55 (step @p1727 :rule trans :premises (@p1726 @p1722)) % 1.33/1.55 (step @p1728 :rule nary_cong :premises (@p910 @p978 @p1060) :args (@t3177)) % 1.33/1.55 (step @p1729 :rule cong :premises (@p1728) :args (@t3178)) % 1.33/1.55 (step @p1730 :rule refl :args (@t3149)) % 1.33/1.55 (step @p1731 :rule nary_cong :premises (@p1730 @p1729) :args (@t3179)) % 1.33/1.55 (step @p1732 :rule quant-miniscope-or :args ((= (forall @t9 @t3180) @t3179))) % 1.33/1.55 (step @p1733 :rule aci_norm :args ((= @t3181 @t3180))) % 1.33/1.55 (step @p1734 :rule cong :premises (@p1733) :args ((forall @t9 @t3181))) % 1.33/1.55 (step @p1735 :rule trans :premises (@p1734 @p1732)) % 1.33/1.55 (step @p1736 :rule trans :premises (@p1735 @p1731)) % 1.33/1.55 (step @p1737 :rule aci_norm :args ((= (or @t197 @t3182) @t3181))) % 1.33/1.55 (step @p1738 :rule aci_norm :args ((= (or @t3149 (or @t1165 @t1214)) @t3182))) % 1.33/1.55 (step @p1739 :rule bool-double-not-elim :args (@t1165)) % 1.33/1.55 (step @p1740 :rule nary_cong :premises (@p1739 @p1064) :args ((or @t3183 @t1214))) % 1.33/1.55 (step @p1741 :rule bool-impl-elim :args (@t1222 @t1214)) % 1.33/1.55 (step @p1742 :rule trans :premises (@p1741 @p1740)) % 1.33/1.55 (step @p1743 :rule refl :args (@t3149)) % 1.33/1.55 (step @p1744 :rule nary_cong :premises (@p1743 @p1742) :args ((or @t3149 @t1240))) % 1.33/1.55 (step @p1745 :rule trans :premises (@p1744 @p1738)) % 1.33/1.55 (step @p1746 :rule bool-impl-elim :args (@t1178 @t1240)) % 1.33/1.55 (step @p1747 :rule trans :premises (@p1746 @p1745)) % 1.33/1.55 (step @p1748 :rule nary_cong :premises (@p915 @p1747) :args ((or @t197 @t1241))) % 1.33/1.55 (step @p1749 :rule trans :premises (@p1748 @p1737)) % 1.33/1.55 (step @p1750 :rule bool-impl-elim :args (@t7 @t1241)) % 1.33/1.55 (step @p1751 :rule trans :premises (@p1750 @p1749)) % 1.33/1.55 (step @p1752 :rule cong :premises (@p1751) :args (@t1242)) % 1.33/1.55 (step @p1753 :rule trans :premises (@p1752 @p1736)) % 1.33/1.55 (step @p1754 :rule cong :premises (@p926 @p1753) :args (@t1243)) % 1.33/1.55 (step @p1755 :rule cong :premises (@p1754) :args (@t1244)) % 1.33/1.55 (step @p1756 :rule trans :premises (@p1755 @p1727)) % 1.33/1.55 (step @p1757 :rule cong :premises (@p930 @p1756) :args (@t1245)) % 1.33/1.55 (step @p1758 :rule cong :premises (@p1757) :args (@t1246)) % 1.33/1.55 (step @p1759 :rule trans :premises (@p1758 @p1706)) % 1.33/1.55 (step @p1760 :rule refl :args (tptp.contrasubsetT1)) % 1.33/1.55 (step @p1761 :rule cong :premises (@p1760 @p1759) :args (@t1247)) % 1.33/1.55 (step @p1762 :rule eq_resolve :premises (@p241 @p1761)) % 1.33/1.55 (step @p1763 :rule cong :premises (@p1762 @p1688) :args (@t3184)) % 1.33/1.55 (step @p1764 :rule aci_norm :args ((= @t3186 @t1751))) % 1.33/1.55 (step @p1765 :rule cong :premises (@p1764) :args (@t3187)) % 1.33/1.55 (step @p1766 :rule quant-merge-prenex :args ((= (forall @t1138 @t3189) @t3187))) % 1.33/1.55 (step @p1767 :rule alpha_equiv :args (@t3190 (@list @t1746 @t1744) (@list @t1129 @t3191))) % 1.33/1.55 (step @p1768 :rule nary_cong :premises (@p775 @p1767) :args (@t3192)) % 1.33/1.55 (step @p1769 :rule quant-miniscope-or :args ((= @t3189 @t3192))) % 1.33/1.55 (step @p1770 :rule trans :premises (@p1769 @p1768)) % 1.33/1.55 (step @p1771 :rule symm :premises (@p1770)) % 1.33/1.55 (step @p1772 :rule cong :premises (@p1771) :args ((forall @t1138 (or @t1636 @t3198)))) % 1.33/1.55 (step @p1773 :rule trans :premises (@p1772 @p1766)) % 1.33/1.55 (step @p1774 :rule trans :premises (@p1773 @p1765)) % 1.33/1.55 (step @p1775 :rule refl :args (@t3198)) % 1.33/1.55 (step @p1776 :rule nary_cong :premises (@p801 @p1775) :args (@t3199)) % 1.33/1.55 (step @p1777 :rule cong :premises (@p1776) :args ((forall @t1138 @t3199))) % 1.33/1.55 (step @p1778 :rule trans :premises (@p1777 @p1774)) % 1.33/1.55 (step @p1779 :rule bool-impl-elim :args (@t1136 @t3198)) % 1.33/1.55 (step @p1780 :rule cong :premises (@p1779) :args ((forall @t1138 (=> @t1136 @t3198)))) % 1.33/1.55 (step @p1781 :rule trans :premises (@p1780 @p1778)) % 1.33/1.55 (step @p1782 :rule aci_norm :args ((= @t3201 @t3196))) % 1.33/1.55 (step @p1783 :rule cong :premises (@p1782) :args (@t3202)) % 1.33/1.55 (step @p1784 :rule quant-merge-prenex :args ((= (forall @t1134 @t3204) @t3202))) % 1.33/1.55 (step @p1785 :rule alpha_equiv :args (@t3205 (@list @t3191) @t2902)) % 1.33/1.55 (step @p1786 :rule nary_cong :premises (@p812 @p1175 @p1785) :args (@t3206)) % 1.33/1.55 (step @p1787 :rule quant-miniscope-or :args ((= @t3204 @t3206))) % 1.33/1.55 (step @p1788 :rule trans :premises (@p1787 @p1786)) % 1.33/1.55 (step @p1789 :rule symm :premises (@p1788)) % 1.33/1.55 (step @p1790 :rule cong :premises (@p1789) :args ((forall @t1134 (or @t2871 @t2980 @t3207)))) % 1.33/1.55 (step @p1791 :rule trans :premises (@p1790 @p1784)) % 1.33/1.55 (step @p1792 :rule trans :premises (@p1791 @p1783)) % 1.33/1.55 (step @p1793 :rule refl :args (@t3207)) % 1.33/1.55 (step @p1794 :rule nary_cong :premises (@p833 @p1134 @p1793) :args (@t3208)) % 1.33/1.55 (step @p1795 :rule cong :premises (@p1794) :args ((forall @t1134 @t3208))) % 1.33/1.55 (step @p1796 :rule trans :premises (@p1795 @p1792)) % 1.33/1.55 (step @p1797 :rule aci_norm :args ((= (or @t2894 @t3209) @t3208))) % 1.33/1.55 (step @p1798 :rule bool-impl-elim :args (@t1133 @t3209)) % 1.33/1.55 (step @p1799 :rule trans :premises (@p1798 @p1797)) % 1.33/1.55 (step @p1800 :rule cong :premises (@p1799) :args ((forall @t1134 (=> @t1133 @t3209)))) % 1.33/1.55 (step @p1801 :rule trans :premises (@p1800 @p1796)) % 1.33/1.55 (step @p1802 :rule nary_cong :premises (@p910 @p979 @p1060) :args (@t3210)) % 1.33/1.55 (step @p1803 :rule cong :premises (@p1802) :args (@t3211)) % 1.33/1.55 (step @p1804 :rule refl :args (@t2983)) % 1.33/1.55 (step @p1805 :rule nary_cong :premises (@p1804 @p1803) :args (@t3212)) % 1.33/1.55 (step @p1806 :rule quant-miniscope-or :args ((= (forall @t9 @t3213) @t3212))) % 1.33/1.55 (step @p1807 :rule aci_norm :args ((= @t3214 @t3213))) % 1.33/1.55 (step @p1808 :rule cong :premises (@p1807) :args ((forall @t9 @t3214))) % 1.33/1.55 (step @p1809 :rule trans :premises (@p1808 @p1806)) % 1.33/1.55 (step @p1810 :rule trans :premises (@p1809 @p1805)) % 1.33/1.55 (step @p1811 :rule aci_norm :args ((= (or @t197 @t3215) @t3214))) % 1.33/1.55 (step @p1812 :rule aci_norm :args ((= (or @t2983 (or @t1222 @t1214)) @t3215))) % 1.33/1.55 (step @p1813 :rule bool-impl-elim :args (@t1165 @t1214)) % 1.33/1.55 (step @p1814 :rule refl :args (@t2983)) % 1.33/1.55 (step @p1815 :rule nary_cong :premises (@p1814 @p1813) :args ((or @t2983 @t1230))) % 1.33/1.55 (step @p1816 :rule trans :premises (@p1815 @p1812)) % 1.33/1.55 (step @p1817 :rule bool-impl-elim :args (@t1232 @t1230)) % 1.33/1.55 (step @p1818 :rule trans :premises (@p1817 @p1816)) % 1.33/1.55 (step @p1819 :rule nary_cong :premises (@p915 @p1818) :args ((or @t197 @t1233))) % 1.33/1.55 (step @p1820 :rule trans :premises (@p1819 @p1811)) % 1.33/1.55 (step @p1821 :rule bool-impl-elim :args (@t7 @t1233)) % 1.33/1.55 (step @p1822 :rule trans :premises (@p1821 @p1820)) % 1.33/1.55 (step @p1823 :rule cong :premises (@p1822) :args (@t1234)) % 1.33/1.55 (step @p1824 :rule trans :premises (@p1823 @p1810)) % 1.33/1.55 (step @p1825 :rule cong :premises (@p926 @p1824) :args (@t1235)) % 1.33/1.55 (step @p1826 :rule cong :premises (@p1825) :args (@t1236)) % 1.33/1.55 (step @p1827 :rule trans :premises (@p1826 @p1801)) % 1.33/1.55 (step @p1828 :rule cong :premises (@p930 @p1827) :args (@t1237)) % 1.33/1.55 (step @p1829 :rule cong :premises (@p1828) :args (@t1238)) % 1.33/1.55 (step @p1830 :rule trans :premises (@p1829 @p1781)) % 1.33/1.55 (step @p1831 :rule refl :args (tptp.contrasubsetT)) % 1.33/1.55 (step @p1832 :rule cong :premises (@p1831 @p1830) :args (@t1239)) % 1.33/1.55 (step @p1833 :rule eq_resolve :premises (@p240 @p1832)) % 1.33/1.55 (step @p1834 :rule cong :premises (@p1833 @p1763) :args (@t3216)) % 1.33/1.55 (step @p1835 :rule aci_norm :args ((= @t3218 @t1759))) % 1.33/1.55 (step @p1836 :rule cong :premises (@p1835) :args (@t3219)) % 1.33/1.55 (step @p1837 :rule quant-merge-prenex :args ((= (forall @t1138 @t3221) @t3219))) % 1.33/1.55 (step @p1838 :rule alpha_equiv :args (@t3222 (@list @t1753 @t1754) (@list @t1129 @t3223))) % 1.33/1.55 (step @p1839 :rule nary_cong :premises (@p775 @p1838) :args (@t3224)) % 1.33/1.55 (step @p1840 :rule quant-miniscope-or :args ((= @t3221 @t3224))) % 1.33/1.55 (step @p1841 :rule trans :premises (@p1840 @p1839)) % 1.33/1.55 (step @p1842 :rule symm :premises (@p1841)) % 1.33/1.55 (step @p1843 :rule cong :premises (@p1842) :args ((forall @t1138 (or @t1636 @t3230)))) % 1.33/1.55 (step @p1844 :rule trans :premises (@p1843 @p1837)) % 1.33/1.55 (step @p1845 :rule trans :premises (@p1844 @p1836)) % 1.33/1.55 (step @p1846 :rule refl :args (@t3230)) % 1.33/1.55 (step @p1847 :rule nary_cong :premises (@p801 @p1846) :args (@t3231)) % 1.33/1.55 (step @p1848 :rule cong :premises (@p1847) :args ((forall @t1138 @t3231))) % 1.33/1.55 (step @p1849 :rule trans :premises (@p1848 @p1845)) % 1.33/1.55 (step @p1850 :rule bool-impl-elim :args (@t1136 @t3230)) % 1.33/1.55 (step @p1851 :rule cong :premises (@p1850) :args ((forall @t1138 (=> @t1136 @t3230)))) % 1.33/1.55 (step @p1852 :rule trans :premises (@p1851 @p1849)) % 1.33/1.55 (step @p1853 :rule aci_norm :args ((= @t3233 @t3228))) % 1.33/1.55 (step @p1854 :rule cong :premises (@p1853) :args (@t3234)) % 1.33/1.55 (step @p1855 :rule quant-merge-prenex :args ((= (forall @t1134 @t3236) @t3234))) % 1.33/1.55 (step @p1856 :rule alpha_equiv :args (@t3237 (@list @t3223) @t2902)) % 1.33/1.55 (step @p1857 :rule nary_cong :premises (@p812 @p1856) :args (@t3238)) % 1.33/1.55 (step @p1858 :rule quant-miniscope-or :args ((= @t3236 @t3238))) % 1.33/1.55 (step @p1859 :rule trans :premises (@p1858 @p1857)) % 1.33/1.55 (step @p1860 :rule symm :premises (@p1859)) % 1.33/1.55 (step @p1861 :rule cong :premises (@p1860) :args ((forall @t1134 (or @t2871 @t3239)))) % 1.33/1.55 (step @p1862 :rule trans :premises (@p1861 @p1855)) % 1.33/1.55 (step @p1863 :rule trans :premises (@p1862 @p1854)) % 1.33/1.55 (step @p1864 :rule refl :args (@t3239)) % 1.33/1.55 (step @p1865 :rule nary_cong :premises (@p833 @p1864) :args (@t3240)) % 1.33/1.55 (step @p1866 :rule cong :premises (@p1865) :args ((forall @t1134 @t3240))) % 1.33/1.55 (step @p1867 :rule trans :premises (@p1866 @p1863)) % 1.33/1.55 (step @p1868 :rule bool-impl-elim :args (@t1133 @t3239)) % 1.33/1.55 (step @p1869 :rule cong :premises (@p1868) :args ((forall @t1134 (=> @t1133 @t3239)))) % 1.33/1.55 (step @p1870 :rule trans :premises (@p1869 @p1867)) % 1.33/1.55 (step @p1871 :rule nary_cong :premises (@p910 @p978 @p904) :args (@t3241)) % 1.33/1.55 (step @p1872 :rule cong :premises (@p1871) :args ((forall @t9 @t3241))) % 1.33/1.55 (step @p1873 :rule aci_norm :args ((= (or @t197 (or @t1165 @t1213)) @t3241))) % 1.33/1.55 (step @p1874 :rule refl :args (@t1213)) % 1.33/1.55 (step @p1875 :rule nary_cong :premises (@p1739 @p1874) :args ((or @t3183 @t1213))) % 1.33/1.55 (step @p1876 :rule bool-impl-elim :args (@t1222 @t1213)) % 1.33/1.55 (step @p1877 :rule trans :premises (@p1876 @p1875)) % 1.33/1.55 (step @p1878 :rule nary_cong :premises (@p915 @p1877) :args ((or @t197 @t1223))) % 1.33/1.55 (step @p1879 :rule trans :premises (@p1878 @p1873)) % 1.33/1.55 (step @p1880 :rule bool-impl-elim :args (@t7 @t1223)) % 1.33/1.55 (step @p1881 :rule trans :premises (@p1880 @p1879)) % 1.33/1.55 (step @p1882 :rule cong :premises (@p1881) :args (@t1224)) % 1.33/1.55 (step @p1883 :rule trans :premises (@p1882 @p1872)) % 1.33/1.55 (step @p1884 :rule cong :premises (@p926 @p1883) :args (@t1225)) % 1.33/1.55 (step @p1885 :rule cong :premises (@p1884) :args (@t1226)) % 1.33/1.55 (step @p1886 :rule trans :premises (@p1885 @p1870)) % 1.33/1.55 (step @p1887 :rule cong :premises (@p930 @p1886) :args (@t1227)) % 1.33/1.55 (step @p1888 :rule cong :premises (@p1887) :args (@t1228)) % 1.33/1.55 (step @p1889 :rule trans :premises (@p1888 @p1852)) % 1.33/1.55 (step @p1890 :rule refl :args (tptp.binintersectTERcontra)) % 1.33/1.55 (step @p1891 :rule cong :premises (@p1890 @p1889) :args (@t1229)) % 1.33/1.55 (step @p1892 :rule eq_resolve :premises (@p239 @p1891)) % 1.33/1.55 (step @p1893 :rule cong :premises (@p1892 @p1834) :args (@t3242)) % 1.33/1.55 (step @p1894 :rule aci_norm :args ((= @t3244 @t1767))) % 1.33/1.55 (step @p1895 :rule cong :premises (@p1894) :args (@t3245)) % 1.33/1.55 (step @p1896 :rule quant-merge-prenex :args ((= (forall @t1138 @t3247) @t3245))) % 1.33/1.55 (step @p1897 :rule alpha_equiv :args (@t3248 (@list @t1761 @t1762) (@list @t1129 @t3249))) % 1.33/1.55 (step @p1898 :rule nary_cong :premises (@p775 @p1897) :args (@t3250)) % 1.33/1.55 (step @p1899 :rule quant-miniscope-or :args ((= @t3247 @t3250))) % 1.33/1.55 (step @p1900 :rule trans :premises (@p1899 @p1898)) % 1.33/1.55 (step @p1901 :rule symm :premises (@p1900)) % 1.33/1.55 (step @p1902 :rule cong :premises (@p1901) :args ((forall @t1138 (or @t1636 @t3256)))) % 1.33/1.55 (step @p1903 :rule trans :premises (@p1902 @p1896)) % 1.33/1.55 (step @p1904 :rule trans :premises (@p1903 @p1895)) % 1.33/1.55 (step @p1905 :rule refl :args (@t3256)) % 1.33/1.55 (step @p1906 :rule nary_cong :premises (@p801 @p1905) :args (@t3257)) % 1.33/1.55 (step @p1907 :rule cong :premises (@p1906) :args ((forall @t1138 @t3257))) % 1.33/1.55 (step @p1908 :rule trans :premises (@p1907 @p1904)) % 1.33/1.55 (step @p1909 :rule bool-impl-elim :args (@t1136 @t3256)) % 1.33/1.55 (step @p1910 :rule cong :premises (@p1909) :args ((forall @t1138 (=> @t1136 @t3256)))) % 1.33/1.55 (step @p1911 :rule trans :premises (@p1910 @p1908)) % 1.33/1.55 (step @p1912 :rule aci_norm :args ((= @t3259 @t3254))) % 1.33/1.55 (step @p1913 :rule cong :premises (@p1912) :args (@t3260)) % 1.33/1.55 (step @p1914 :rule quant-merge-prenex :args ((= (forall @t1134 @t3262) @t3260))) % 1.33/1.55 (step @p1915 :rule alpha_equiv :args (@t3263 (@list @t3249) @t2902)) % 1.33/1.55 (step @p1916 :rule nary_cong :premises (@p812 @p1915) :args (@t3264)) % 1.33/1.55 (step @p1917 :rule quant-miniscope-or :args ((= @t3262 @t3264))) % 1.33/1.55 (step @p1918 :rule trans :premises (@p1917 @p1916)) % 1.33/1.55 (step @p1919 :rule symm :premises (@p1918)) % 1.33/1.55 (step @p1920 :rule cong :premises (@p1919) :args ((forall @t1134 (or @t2871 @t3265)))) % 1.33/1.55 (step @p1921 :rule trans :premises (@p1920 @p1914)) % 1.33/1.55 (step @p1922 :rule trans :premises (@p1921 @p1913)) % 1.33/1.55 (step @p1923 :rule refl :args (@t3265)) % 1.33/1.55 (step @p1924 :rule nary_cong :premises (@p833 @p1923) :args (@t3266)) % 1.33/1.55 (step @p1925 :rule cong :premises (@p1924) :args ((forall @t1134 @t3266))) % 1.33/1.55 (step @p1926 :rule trans :premises (@p1925 @p1922)) % 1.33/1.55 (step @p1927 :rule bool-impl-elim :args (@t1133 @t3265)) % 1.33/1.55 (step @p1928 :rule cong :premises (@p1927) :args ((forall @t1134 (=> @t1133 @t3265)))) % 1.33/1.55 (step @p1929 :rule trans :premises (@p1928 @p1926)) % 1.33/1.55 (step @p1930 :rule nary_cong :premises (@p910 @p1059 @p904) :args (@t3267)) % 1.33/1.55 (step @p1931 :rule cong :premises (@p1930) :args ((forall @t9 @t3267))) % 1.33/1.55 (step @p1932 :rule aci_norm :args ((= (or @t197 (or @t696 @t1213)) @t3267))) % 1.33/1.55 (step @p1933 :rule bool-double-not-elim :args (@t696)) % 1.33/1.55 (step @p1934 :rule nary_cong :premises (@p1933 @p1874) :args ((or (not @t1214) @t1213))) % 1.33/1.55 (step @p1935 :rule bool-impl-elim :args (@t1214 @t1213)) % 1.33/1.55 (step @p1936 :rule trans :premises (@p1935 @p1934)) % 1.33/1.55 (step @p1937 :rule nary_cong :premises (@p915 @p1936) :args ((or @t197 @t1215))) % 1.33/1.55 (step @p1938 :rule trans :premises (@p1937 @p1932)) % 1.33/1.55 (step @p1939 :rule bool-impl-elim :args (@t7 @t1215)) % 1.33/1.55 (step @p1940 :rule trans :premises (@p1939 @p1938)) % 1.33/1.55 (step @p1941 :rule cong :premises (@p1940) :args (@t1216)) % 1.33/1.55 (step @p1942 :rule trans :premises (@p1941 @p1931)) % 1.33/1.55 (step @p1943 :rule cong :premises (@p926 @p1942) :args (@t1217)) % 1.33/1.55 (step @p1944 :rule cong :premises (@p1943) :args (@t1218)) % 1.33/1.55 (step @p1945 :rule trans :premises (@p1944 @p1929)) % 1.33/1.55 (step @p1946 :rule cong :premises (@p930 @p1945) :args (@t1219)) % 1.33/1.55 (step @p1947 :rule cong :premises (@p1946) :args (@t1220)) % 1.33/1.55 (step @p1948 :rule trans :premises (@p1947 @p1911)) % 1.33/1.55 (step @p1949 :rule refl :args (tptp.binintersectTELcontra)) % 1.33/1.55 (step @p1950 :rule cong :premises (@p1949 @p1948) :args (@t1221)) % 1.33/1.55 (step @p1951 :rule eq_resolve :premises (@p238 @p1950)) % 1.33/1.55 (step @p1952 :rule cong :premises (@p1951 @p1893) :args (@t3268)) % 1.33/1.55 (step @p1953 :rule aci_norm :args ((= @t3270 @t1773))) % 1.33/1.55 (step @p1954 :rule cong :premises (@p1953) :args (@t3271)) % 1.33/1.55 (step @p1955 :rule quant-merge-prenex :args ((= (forall @t1138 @t3273) @t3271))) % 1.33/1.55 (step @p1956 :rule alpha_equiv :args (@t3274 (@list @t1769) @t2902)) % 1.33/1.55 (step @p1957 :rule nary_cong :premises (@p775 @p1956) :args (@t3275)) % 1.33/1.55 (step @p1958 :rule quant-miniscope-or :args ((= @t3273 @t3275))) % 1.33/1.55 (step @p1959 :rule trans :premises (@p1958 @p1957)) % 1.33/1.55 (step @p1960 :rule symm :premises (@p1959)) % 1.33/1.55 (step @p1961 :rule cong :premises (@p1960) :args ((forall @t1138 (or @t1636 @t3276)))) % 1.33/1.55 (step @p1962 :rule trans :premises (@p1961 @p1955)) % 1.33/1.55 (step @p1963 :rule trans :premises (@p1962 @p1954)) % 1.33/1.55 (step @p1964 :rule refl :args (@t3276)) % 1.33/1.55 (step @p1965 :rule nary_cong :premises (@p801 @p1964) :args (@t3277)) % 1.33/1.55 (step @p1966 :rule cong :premises (@p1965) :args ((forall @t1138 @t3277))) % 1.33/1.55 (step @p1967 :rule trans :premises (@p1966 @p1963)) % 1.33/1.55 (step @p1968 :rule bool-impl-elim :args (@t1136 @t3276)) % 1.33/1.55 (step @p1969 :rule cong :premises (@p1968) :args ((forall @t1138 (=> @t1136 @t3276)))) % 1.33/1.55 (step @p1970 :rule trans :premises (@p1969 @p1967)) % 1.33/1.55 (step @p1971 :rule nary_cong :premises (@p910 @p1204 @p1059) :args (@t3278)) % 1.33/1.55 (step @p1972 :rule cong :premises (@p1971) :args ((forall @t9 @t3278))) % 1.33/1.55 (step @p1973 :rule aci_norm :args ((= (or @t197 (or @t1200 @t696)) @t3278))) % 1.33/1.55 (step @p1974 :rule bool-double-not-elim :args (@t1200)) % 1.33/1.55 (step @p1975 :rule nary_cong :premises (@p1974 @p1056) :args ((or (not @t1201) @t696))) % 1.33/1.55 (step @p1976 :rule bool-impl-elim :args (@t1201 @t696)) % 1.33/1.55 (step @p1977 :rule trans :premises (@p1976 @p1975)) % 1.33/1.55 (step @p1978 :rule nary_cong :premises (@p915 @p1977) :args ((or @t197 @t1207))) % 1.33/1.55 (step @p1979 :rule trans :premises (@p1978 @p1973)) % 1.33/1.55 (step @p1980 :rule bool-impl-elim :args (@t7 @t1207)) % 1.33/1.55 (step @p1981 :rule trans :premises (@p1980 @p1979)) % 1.33/1.55 (step @p1982 :rule cong :premises (@p1981) :args (@t1208)) % 1.33/1.55 (step @p1983 :rule trans :premises (@p1982 @p1972)) % 1.33/1.55 (step @p1984 :rule cong :premises (@p930 @p1983) :args (@t1209)) % 1.33/1.55 (step @p1985 :rule cong :premises (@p1984) :args (@t1210)) % 1.33/1.55 (step @p1986 :rule trans :premises (@p1985 @p1970)) % 1.33/1.55 (step @p1987 :rule refl :args (tptp.complementTE1)) % 1.33/1.55 (step @p1988 :rule cong :premises (@p1987 @p1986) :args (@t1211)) % 1.33/1.55 (step @p1989 :rule eq_resolve :premises (@p237 @p1988)) % 1.33/1.55 (step @p1990 :rule cong :premises (@p1989 @p1952) :args (@t3279)) % 1.33/1.55 (step @p1991 :rule aci_norm :args ((= @t3281 @t1779))) % 1.33/1.55 (step @p1992 :rule cong :premises (@p1991) :args (@t3282)) % 1.33/1.55 (step @p1993 :rule quant-merge-prenex :args ((= (forall @t1138 @t3284) @t3282))) % 1.33/1.55 (step @p1994 :rule alpha_equiv :args (@t3285 (@list @t1775) @t2902)) % 1.33/1.55 (step @p1995 :rule nary_cong :premises (@p775 @p1994) :args (@t3286)) % 1.33/1.55 (step @p1996 :rule quant-miniscope-or :args ((= @t3284 @t3286))) % 1.33/1.55 (step @p1997 :rule trans :premises (@p1996 @p1995)) % 1.33/1.55 (step @p1998 :rule symm :premises (@p1997)) % 1.33/1.55 (step @p1999 :rule cong :premises (@p1998) :args ((forall @t1138 (or @t1636 @t3287)))) % 1.33/1.55 (step @p2000 :rule trans :premises (@p1999 @p1993)) % 1.33/1.55 (step @p2001 :rule trans :premises (@p2000 @p1992)) % 1.33/1.55 (step @p2002 :rule refl :args (@t3287)) % 1.33/1.55 (step @p2003 :rule nary_cong :premises (@p801 @p2002) :args (@t3288)) % 1.33/1.55 (step @p2004 :rule cong :premises (@p2003) :args ((forall @t1138 @t3288))) % 1.33/1.55 (step @p2005 :rule trans :premises (@p2004 @p2001)) % 1.33/1.55 (step @p2006 :rule bool-impl-elim :args (@t1136 @t3287)) % 1.33/1.55 (step @p2007 :rule cong :premises (@p2006) :args ((forall @t1138 (=> @t1136 @t3287)))) % 1.33/1.55 (step @p2008 :rule trans :premises (@p2007 @p2005)) % 1.33/1.55 (step @p2009 :rule nary_cong :premises (@p910 @p1060 @p1382) :args (@t3289)) % 1.33/1.55 (step @p2010 :rule cong :premises (@p2009) :args ((forall @t9 @t3289))) % 1.33/1.55 (step @p2011 :rule aci_norm :args ((= (or @t197 (or @t1214 @t1201)) @t3289))) % 1.33/1.55 (step @p2012 :rule bool-impl-elim :args (@t696 @t1201)) % 1.33/1.55 (step @p2013 :rule nary_cong :premises (@p915 @p2012) :args ((or @t197 @t1202))) % 1.33/1.55 (step @p2014 :rule trans :premises (@p2013 @p2011)) % 1.33/1.55 (step @p2015 :rule bool-impl-elim :args (@t7 @t1202)) % 1.33/1.55 (step @p2016 :rule trans :premises (@p2015 @p2014)) % 1.33/1.55 (step @p2017 :rule cong :premises (@p2016) :args (@t1203)) % 1.33/1.55 (step @p2018 :rule trans :premises (@p2017 @p2010)) % 1.33/1.55 (step @p2019 :rule cong :premises (@p930 @p2018) :args (@t1204)) % 1.33/1.55 (step @p2020 :rule cong :premises (@p2019) :args (@t1205)) % 1.33/1.55 (step @p2021 :rule trans :premises (@p2020 @p2008)) % 1.33/1.55 (step @p2022 :rule refl :args (tptp.complementTI1)) % 1.33/1.55 (step @p2023 :rule cong :premises (@p2022 @p2021) :args (@t1206)) % 1.33/1.55 (step @p2024 :rule eq_resolve :premises (@p236 @p2023)) % 1.33/1.55 (step @p2025 :rule cong :premises (@p2024 @p1990) :args (@t3290)) % 1.33/1.55 (step @p2026 :rule aci_norm :args ((= @t3292 @t1788))) % 1.33/1.55 (step @p2027 :rule cong :premises (@p2026) :args (@t3293)) % 1.33/1.55 (step @p2028 :rule quant-merge-prenex :args ((= (forall @t1138 @t3295) @t3293))) % 1.33/1.55 (step @p2029 :rule alpha_equiv :args (@t3296 (@list @t1781 @t1782) (@list @t1129 @t3297))) % 1.33/1.55 (step @p2030 :rule nary_cong :premises (@p775 @p2029) :args (@t3298)) % 1.33/1.55 (step @p2031 :rule quant-miniscope-or :args ((= @t3295 @t3298))) % 1.33/1.55 (step @p2032 :rule trans :premises (@p2031 @p2030)) % 1.33/1.55 (step @p2033 :rule symm :premises (@p2032)) % 1.33/1.55 (step @p2034 :rule cong :premises (@p2033) :args ((forall @t1138 (or @t1636 @t3307)))) % 1.33/1.55 (step @p2035 :rule trans :premises (@p2034 @p2028)) % 1.33/1.55 (step @p2036 :rule trans :premises (@p2035 @p2027)) % 1.33/1.55 (step @p2037 :rule refl :args (@t3307)) % 1.33/1.55 (step @p2038 :rule nary_cong :premises (@p801 @p2037) :args (@t3308)) % 1.33/1.55 (step @p2039 :rule cong :premises (@p2038) :args ((forall @t1138 @t3308))) % 1.33/1.55 (step @p2040 :rule trans :premises (@p2039 @p2036)) % 1.33/1.55 (step @p2041 :rule bool-impl-elim :args (@t1136 @t3307)) % 1.33/1.55 (step @p2042 :rule cong :premises (@p2041) :args ((forall @t1138 (=> @t1136 @t3307)))) % 1.33/1.55 (step @p2043 :rule trans :premises (@p2042 @p2040)) % 1.33/1.55 (step @p2044 :rule aci_norm :args ((= @t3310 @t3305))) % 1.33/1.55 (step @p2045 :rule cong :premises (@p2044) :args (@t3311)) % 1.33/1.55 (step @p2046 :rule quant-merge-prenex :args ((= (forall @t1134 @t3313) @t3311))) % 1.33/1.55 (step @p2047 :rule alpha_equiv :args (@t3314 (@list @t3297) @t2902)) % 1.33/1.55 (step @p2048 :rule refl :args (@t3304)) % 1.33/1.55 (step @p2049 :rule nary_cong :premises (@p812 @p2048 @p2047) :args (@t3315)) % 1.33/1.55 (step @p2050 :rule quant-miniscope-or :args ((= @t3313 @t3315))) % 1.33/1.55 (step @p2051 :rule trans :premises (@p2050 @p2049)) % 1.33/1.55 (step @p2052 :rule symm :premises (@p2051)) % 1.33/1.55 (step @p2053 :rule cong :premises (@p2052) :args ((forall @t1134 (or @t2871 @t3304 @t3316)))) % 1.33/1.55 (step @p2054 :rule trans :premises (@p2053 @p2046)) % 1.33/1.55 (step @p2055 :rule trans :premises (@p2054 @p2045)) % 1.33/1.55 (step @p2056 :rule refl :args (@t3316)) % 1.33/1.55 (step @p2057 :rule refl :args ((tptp.in @t695 @t1185))) % 1.33/1.55 (step @p2058 :rule refl :args (@t3302)) % 1.33/1.55 (step @p2059 :rule cong :premises (@p786 @p2058) :args (@t3303)) % 1.33/1.55 (step @p2060 :rule trans :premises (@p2059 @p2057)) % 1.33/1.55 (step @p2061 :rule ho_cong :premises (@p789 @p2058)) % 1.33/1.55 (step @p2062 :rule cong :premises (@p2061 @p2060) :args ((= (_ @t697 @t3302) @t3303))) % 1.33/1.55 (step @p2063 :rule symm :premises (@p2062)) % 1.33/1.55 (step @p2064 :rule refl :args (@t1186)) % 1.33/1.55 (step @p2065 :rule eq_resolve :premises (@p2064 @p2063)) % 1.33/1.55 (step @p2066 :rule refl :args (@t1185)) % 1.33/1.55 (step @p2067 :rule cong :premises (@p2066 @p2058) :args ((= @t1185 @t3302))) % 1.33/1.55 (step @p2068 :rule symm :premises (@p2067)) % 1.33/1.55 (step @p2069 :rule eq_resolve :premises (@p2066 @p2068)) % 1.33/1.55 (step @p2070 :rule ho_cong :premises (@p789 @p2069)) % 1.33/1.55 (step @p2071 :rule trans :premises (@p2070 @p2065)) % 1.33/1.55 (step @p2072 :rule cong :premises (@p2071) :args (@t3317)) % 1.33/1.55 (step @p2073 :rule nary_cong :premises (@p833 @p2072 @p2056) :args (@t3318)) % 1.33/1.55 (step @p2074 :rule cong :premises (@p2073) :args ((forall @t1134 @t3318))) % 1.33/1.55 (step @p2075 :rule trans :premises (@p2074 @p2055)) % 1.33/1.55 (step @p2076 :rule aci_norm :args ((= (or @t2894 @t3319) @t3318))) % 1.33/1.55 (step @p2077 :rule bool-impl-elim :args (@t1133 @t3319)) % 1.33/1.55 (step @p2078 :rule trans :premises (@p2077 @p2076)) % 1.33/1.55 (step @p2079 :rule cong :premises (@p2078) :args ((forall @t1134 (=> @t1133 @t3319)))) % 1.33/1.55 (step @p2080 :rule trans :premises (@p2079 @p2075)) % 1.33/1.55 (step @p2081 :rule nary_cong :premises (@p910 @p1060 @p978) :args (@t3320)) % 1.33/1.55 (step @p2082 :rule cong :premises (@p2081) :args (@t3321)) % 1.33/1.55 (step @p2083 :rule refl :args (@t3317)) % 1.33/1.55 (step @p2084 :rule nary_cong :premises (@p2083 @p2082) :args (@t3322)) % 1.33/1.55 (step @p2085 :rule quant-miniscope-or :args ((= (forall @t9 @t3323) @t3322))) % 1.33/1.55 (step @p2086 :rule aci_norm :args ((= @t3324 @t3323))) % 1.33/1.55 (step @p2087 :rule cong :premises (@p2086) :args ((forall @t9 @t3324))) % 1.33/1.55 (step @p2088 :rule trans :premises (@p2087 @p2085)) % 1.33/1.55 (step @p2089 :rule trans :premises (@p2088 @p2084)) % 1.33/1.55 (step @p2090 :rule aci_norm :args ((= (or @t197 @t3325) @t3324))) % 1.33/1.55 (step @p2091 :rule aci_norm :args ((= (or @t3317 @t3326) @t3325))) % 1.33/1.55 (step @p2092 :rule bool-impl-elim :args (@t696 @t1165)) % 1.33/1.55 (step @p2093 :rule refl :args (@t3317)) % 1.33/1.55 (step @p2094 :rule nary_cong :premises (@p2093 @p2092) :args ((or @t3317 @t1169))) % 1.33/1.55 (step @p2095 :rule trans :premises (@p2094 @p2091)) % 1.33/1.55 (step @p2096 :rule bool-impl-elim :args (@t1186 @t1169)) % 1.33/1.55 (step @p2097 :rule trans :premises (@p2096 @p2095)) % 1.33/1.55 (step @p2098 :rule nary_cong :premises (@p915 @p2097) :args ((or @t197 @t1193))) % 1.33/1.55 (step @p2099 :rule trans :premises (@p2098 @p2090)) % 1.33/1.55 (step @p2100 :rule bool-impl-elim :args (@t7 @t1193)) % 1.33/1.55 (step @p2101 :rule trans :premises (@p2100 @p2099)) % 1.33/1.55 (step @p2102 :rule cong :premises (@p2101) :args (@t1194)) % 1.33/1.55 (step @p2103 :rule trans :premises (@p2102 @p2089)) % 1.33/1.55 (step @p2104 :rule cong :premises (@p926 @p2103) :args (@t1195)) % 1.33/1.55 (step @p2105 :rule cong :premises (@p2104) :args (@t1196)) % 1.33/1.55 (step @p2106 :rule trans :premises (@p2105 @p2080)) % 1.33/1.55 (step @p2107 :rule cong :premises (@p930 @p2106) :args (@t1197)) % 1.33/1.55 (step @p2108 :rule cong :premises (@p2107) :args (@t1198)) % 1.33/1.55 (step @p2109 :rule trans :premises (@p2108 @p2043)) % 1.33/1.55 (step @p2110 :rule refl :args (tptp.powersetTE1)) % 1.33/1.55 (step @p2111 :rule cong :premises (@p2110 @p2109) :args (@t1199)) % 1.33/1.55 (step @p2112 :rule eq_resolve :premises (@p235 @p2111)) % 1.33/1.55 (step @p2113 :rule cong :premises (@p2112 @p2025) :args (@t3327)) % 1.33/1.55 (step @p2114 :rule aci_norm :args ((= @t3329 @t1798))) % 1.33/1.55 (step @p2115 :rule cong :premises (@p2114) :args (@t3330)) % 1.33/1.55 (step @p2116 :rule quant-merge-prenex :args ((= (forall @t1138 @t3332) @t3330))) % 1.33/1.55 (step @p2117 :rule alpha_equiv :args (@t3333 (@list @t1790) @t2975)) % 1.33/1.55 (step @p2118 :rule nary_cong :premises (@p775 @p2117) :args (@t3334)) % 1.33/1.55 (step @p2119 :rule quant-miniscope-or :args ((= @t3332 @t3334))) % 1.33/1.55 (step @p2120 :rule trans :premises (@p2119 @p2118)) % 1.33/1.55 (step @p2121 :rule symm :premises (@p2120)) % 1.33/1.55 (step @p2122 :rule cong :premises (@p2121) :args ((forall @t1138 (or @t1636 @t3336)))) % 1.33/1.55 (step @p2123 :rule trans :premises (@p2122 @p2116)) % 1.33/1.55 (step @p2124 :rule trans :premises (@p2123 @p2115)) % 1.33/1.55 (step @p2125 :rule refl :args (@t3336)) % 1.33/1.55 (step @p2126 :rule nary_cong :premises (@p801 @p2125) :args (@t3337)) % 1.33/1.55 (step @p2127 :rule cong :premises (@p2126) :args ((forall @t1138 @t3337))) % 1.33/1.55 (step @p2128 :rule trans :premises (@p2127 @p2124)) % 1.33/1.55 (step @p2129 :rule bool-impl-elim :args (@t1136 @t3336)) % 1.33/1.55 (step @p2130 :rule cong :premises (@p2129) :args ((forall @t1138 (=> @t1136 @t3336)))) % 1.33/1.55 (step @p2131 :rule trans :premises (@p2130 @p2128)) % 1.33/1.55 (step @p2132 :rule refl :args (@t3335)) % 1.33/1.55 (step @p2133 :rule nary_cong :premises (@p833 @p2132 @p2071) :args (@t3338)) % 1.33/1.55 (step @p2134 :rule cong :premises (@p2133) :args ((forall @t1134 @t3338))) % 1.33/1.55 (step @p2135 :rule aci_norm :args ((= (or @t2894 (or @t3335 @t1186)) @t3338))) % 1.33/1.55 (step @p2136 :rule bool-impl-elim :args (@t3316 @t1186)) % 1.33/1.55 (step @p2137 :rule nary_cong :premises (@p1139 @p2136) :args ((or @t2894 @t3339))) % 1.33/1.55 (step @p2138 :rule trans :premises (@p2137 @p2135)) % 1.33/1.55 (step @p2139 :rule bool-impl-elim :args (@t1133 @t3339)) % 1.33/1.55 (step @p2140 :rule trans :premises (@p2139 @p2138)) % 1.33/1.55 (step @p2141 :rule cong :premises (@p2140) :args ((forall @t1134 (=> @t1133 @t3339)))) % 1.33/1.55 (step @p2142 :rule trans :premises (@p2141 @p2134)) % 1.33/1.55 (step @p2143 :rule refl :args (@t1186)) % 1.33/1.55 (step @p2144 :rule aci_norm :args ((= (or @t197 @t3326) @t3320))) % 1.33/1.55 (step @p2145 :rule nary_cong :premises (@p915 @p2092) :args ((or @t197 @t1169))) % 1.33/1.55 (step @p2146 :rule trans :premises (@p2145 @p2144)) % 1.33/1.55 (step @p2147 :rule bool-impl-elim :args (@t7 @t1169)) % 1.33/1.55 (step @p2148 :rule trans :premises (@p2147 @p2146)) % 1.33/1.55 (step @p2149 :rule cong :premises (@p2148) :args (@t1170)) % 1.33/1.55 (step @p2150 :rule trans :premises (@p2149 @p2082)) % 1.33/1.55 (step @p2151 :rule cong :premises (@p2150 @p2143) :args (@t1187)) % 1.33/1.55 (step @p2152 :rule cong :premises (@p926 @p2151) :args (@t1188)) % 1.33/1.55 (step @p2153 :rule cong :premises (@p2152) :args (@t1189)) % 1.33/1.55 (step @p2154 :rule trans :premises (@p2153 @p2142)) % 1.33/1.55 (step @p2155 :rule cong :premises (@p930 @p2154) :args (@t1190)) % 1.33/1.55 (step @p2156 :rule cong :premises (@p2155) :args (@t1191)) % 1.33/1.55 (step @p2157 :rule trans :premises (@p2156 @p2131)) % 1.33/1.55 (step @p2158 :rule refl :args (tptp.powersetTI1)) % 1.33/1.55 (step @p2159 :rule cong :premises (@p2158 @p2157) :args (@t1192)) % 1.33/1.55 (step @p2160 :rule eq_resolve :premises (@p234 @p2159)) % 1.33/1.55 (step @p2161 :rule cong :premises (@p2160 @p2113) :args (@t3340)) % 1.33/1.55 (step @p2162 :rule aci_norm :args ((= @t3342 @t1804))) % 1.33/1.55 (step @p2163 :rule cong :premises (@p2162) :args (@t3343)) % 1.33/1.55 (step @p2164 :rule quant-merge-prenex :args ((= (forall @t1138 @t3345) @t3343))) % 1.33/1.55 (step @p2165 :rule alpha_equiv :args (@t3346 (@list @t1800) @t2975)) % 1.33/1.55 (step @p2166 :rule nary_cong :premises (@p775 @p2165) :args (@t3347)) % 1.33/1.55 (step @p2167 :rule quant-miniscope-or :args ((= @t3345 @t3347))) % 1.33/1.55 (step @p2168 :rule trans :premises (@p2167 @p2166)) % 1.33/1.55 (step @p2169 :rule symm :premises (@p2168)) % 1.33/1.55 (step @p2170 :rule cong :premises (@p2169) :args ((forall @t1138 (or @t1636 @t3348)))) % 1.33/1.55 (step @p2171 :rule trans :premises (@p2170 @p2164)) % 1.33/1.55 (step @p2172 :rule trans :premises (@p2171 @p2163)) % 1.33/1.55 (step @p2173 :rule refl :args (@t3348)) % 1.33/1.55 (step @p2174 :rule nary_cong :premises (@p801 @p2173) :args (@t3349)) % 1.33/1.55 (step @p2175 :rule cong :premises (@p2174) :args ((forall @t1138 @t3349))) % 1.33/1.55 (step @p2176 :rule trans :premises (@p2175 @p2172)) % 1.33/1.55 (step @p2177 :rule bool-impl-elim :args (@t1136 @t3348)) % 1.33/1.55 (step @p2178 :rule cong :premises (@p2177) :args ((forall @t1138 (=> @t1136 @t3348)))) % 1.33/1.55 (step @p2179 :rule trans :premises (@p2178 @p2176)) % 1.33/1.55 (step @p2180 :rule nary_cong :premises (@p833 @p2132 @p1622) :args (@t3350)) % 1.33/1.55 (step @p2181 :rule cong :premises (@p2180) :args ((forall @t1134 @t3350))) % 1.33/1.55 (step @p2182 :rule aci_norm :args ((= (or @t2894 (or @t3335 @t1178)) @t3350))) % 1.33/1.55 (step @p2183 :rule bool-impl-elim :args (@t3316 @t1178)) % 1.33/1.55 (step @p2184 :rule nary_cong :premises (@p1139 @p2183) :args ((or @t2894 @t3351))) % 1.33/1.55 (step @p2185 :rule trans :premises (@p2184 @p2182)) % 1.33/1.55 (step @p2186 :rule bool-impl-elim :args (@t1133 @t3351)) % 1.33/1.55 (step @p2187 :rule trans :premises (@p2186 @p2185)) % 1.33/1.55 (step @p2188 :rule cong :premises (@p2187) :args ((forall @t1134 (=> @t1133 @t3351)))) % 1.33/1.55 (step @p2189 :rule trans :premises (@p2188 @p2181)) % 1.33/1.55 (step @p2190 :rule refl :args (@t1178)) % 1.33/1.55 (step @p2191 :rule cong :premises (@p2150 @p2190) :args (@t1179)) % 1.33/1.55 (step @p2192 :rule cong :premises (@p926 @p2191) :args (@t1180)) % 1.33/1.55 (step @p2193 :rule cong :premises (@p2192) :args (@t1181)) % 1.33/1.55 (step @p2194 :rule trans :premises (@p2193 @p2189)) % 1.33/1.55 (step @p2195 :rule cong :premises (@p930 @p2194) :args (@t1182)) % 1.33/1.55 (step @p2196 :rule cong :premises (@p2195) :args (@t1183)) % 1.33/1.55 (step @p2197 :rule trans :premises (@p2196 @p2179)) % 1.33/1.55 (step @p2198 :rule refl :args (tptp.subsetTI)) % 1.33/1.55 (step @p2199 :rule cong :premises (@p2198 @p2197) :args (@t1184)) % 1.33/1.55 (step @p2200 :rule eq_resolve :premises (@p233 @p2199)) % 1.33/1.55 (step @p2201 :rule cong :premises (@p2200 @p2161) :args (@t3352)) % 1.33/1.55 (step @p2202 :rule aci_norm :args ((= @t3354 @t1812))) % 1.33/1.55 (step @p2203 :rule cong :premises (@p2202) :args (@t3355)) % 1.33/1.55 (step @p2204 :rule quant-merge-prenex :args ((= (forall @t1138 @t3357) @t3355))) % 1.33/1.55 (step @p2205 :rule alpha_equiv :args (@t3358 (@list @t1806) @t2975)) % 1.33/1.55 (step @p2206 :rule nary_cong :premises (@p775 @p2205) :args (@t3359)) % 1.33/1.55 (step @p2207 :rule quant-miniscope-or :args ((= @t3357 @t3359))) % 1.33/1.55 (step @p2208 :rule trans :premises (@p2207 @p2206)) % 1.33/1.55 (step @p2209 :rule symm :premises (@p2208)) % 1.33/1.55 (step @p2210 :rule cong :premises (@p2209) :args ((forall @t1138 (or @t1636 @t3362)))) % 1.33/1.55 (step @p2211 :rule trans :premises (@p2210 @p2204)) % 1.33/1.55 (step @p2212 :rule trans :premises (@p2211 @p2203)) % 1.33/1.55 (step @p2213 :rule refl :args (@t3362)) % 1.33/1.55 (step @p2214 :rule nary_cong :premises (@p801 @p2213) :args (@t3363)) % 1.33/1.55 (step @p2215 :rule cong :premises (@p2214) :args ((forall @t1138 @t3363))) % 1.33/1.55 (step @p2216 :rule trans :premises (@p2215 @p2212)) % 1.33/1.55 (step @p2217 :rule bool-impl-elim :args (@t1136 @t3362)) % 1.33/1.55 (step @p2218 :rule cong :premises (@p2217) :args ((forall @t1138 (=> @t1136 @t3362)))) % 1.33/1.55 (step @p2219 :rule trans :premises (@p2218 @p2216)) % 1.33/1.55 (step @p2220 :rule refl :args (@t1164)) % 1.33/1.55 (step @p2221 :rule refl :args (@t3361)) % 1.33/1.55 (step @p2222 :rule nary_cong :premises (@p833 @p2132 @p2221 @p2220) :args (@t3364)) % 1.33/1.55 (step @p2223 :rule cong :premises (@p2222) :args ((forall @t1134 @t3364))) % 1.33/1.55 (step @p2224 :rule aci_norm :args ((= (or @t2894 @t3365) @t3364))) % 1.33/1.55 (step @p2225 :rule aci_norm :args ((= (or @t3335 (or @t3361 @t1164)) @t3365))) % 1.33/1.55 (step @p2226 :rule bool-impl-elim :args (@t3360 @t1164)) % 1.33/1.55 (step @p2227 :rule nary_cong :premises (@p2132 @p2226) :args ((or @t3335 @t3366))) % 1.33/1.55 (step @p2228 :rule trans :premises (@p2227 @p2225)) % 1.33/1.55 (step @p2229 :rule bool-impl-elim :args (@t3316 @t3366)) % 1.33/1.55 (step @p2230 :rule trans :premises (@p2229 @p2228)) % 1.33/1.55 (step @p2231 :rule nary_cong :premises (@p1139 @p2230) :args ((or @t2894 @t3367))) % 1.33/1.55 (step @p2232 :rule trans :premises (@p2231 @p2224)) % 1.33/1.55 (step @p2233 :rule bool-impl-elim :args (@t1133 @t3367)) % 1.33/1.55 (step @p2234 :rule trans :premises (@p2233 @p2232)) % 1.33/1.55 (step @p2235 :rule cong :premises (@p2234) :args ((forall @t1134 (=> @t1133 @t3367)))) % 1.33/1.55 (step @p2236 :rule trans :premises (@p2235 @p2223)) % 1.33/1.55 (step @p2237 :rule refl :args (@t1164)) % 1.33/1.55 (step @p2238 :rule nary_cong :premises (@p910 @p979 @p1059) :args (@t3368)) % 1.33/1.55 (step @p2239 :rule cong :premises (@p2238) :args ((forall @t9 @t3368))) % 1.33/1.55 (step @p2240 :rule aci_norm :args ((= (or @t197 (or @t1222 @t696)) @t3368))) % 1.33/1.55 (step @p2241 :rule bool-impl-elim :args (@t1165 @t696)) % 1.33/1.55 (step @p2242 :rule nary_cong :premises (@p915 @p2241) :args ((or @t197 @t1166))) % 1.33/1.55 (step @p2243 :rule trans :premises (@p2242 @p2240)) % 1.33/1.55 (step @p2244 :rule bool-impl-elim :args (@t7 @t1166)) % 1.33/1.55 (step @p2245 :rule trans :premises (@p2244 @p2243)) % 1.33/1.55 (step @p2246 :rule cong :premises (@p2245) :args (@t1167)) % 1.33/1.55 (step @p2247 :rule trans :premises (@p2246 @p2239)) % 1.33/1.55 (step @p2248 :rule cong :premises (@p2247 @p2237) :args (@t1168)) % 1.33/1.55 (step @p2249 :rule cong :premises (@p2150 @p2248) :args (@t1171)) % 1.33/1.55 (step @p2250 :rule cong :premises (@p926 @p2249) :args (@t1172)) % 1.33/1.55 (step @p2251 :rule cong :premises (@p2250) :args (@t1173)) % 1.33/1.55 (step @p2252 :rule trans :premises (@p2251 @p2236)) % 1.33/1.55 (step @p2253 :rule cong :premises (@p930 @p2252) :args (@t1174)) % 1.33/1.55 (step @p2254 :rule cong :premises (@p2253) :args (@t1175)) % 1.33/1.55 (step @p2255 :rule trans :premises (@p2254 @p2219)) % 1.33/1.55 (step @p2256 :rule refl :args (tptp.setextT)) % 1.33/1.55 (step @p2257 :rule cong :premises (@p2256 @p2255) :args (@t1176)) % 1.33/1.55 (step @p2258 :rule eq_resolve :premises (@p232 @p2257)) % 1.33/1.55 (step @p2259 :rule cong :premises (@p2258 @p2201) :args (@t3369)) % 1.33/1.55 (step @p2260 :rule refl :args ((tptp.in @t1159 @t33))) % 1.33/1.55 (step @p2261 :rule cong :premises (@p1103 @p785) :args (@t1814)) % 1.33/1.55 (step @p2262 :rule trans :premises (@p2261 @p2260)) % 1.33/1.55 (step @p2263 :rule ho_cong :premises (@p1256 @p785)) % 1.33/1.55 (step @p2264 :rule cong :premises (@p2263 @p2262) :args ((= (_ @t3026 @t1632) @t1814))) % 1.33/1.55 (step @p2265 :rule symm :premises (@p2264)) % 1.33/1.55 (step @p2266 :rule refl :args (@t1161)) % 1.33/1.55 (step @p2267 :rule eq_resolve :premises (@p2266 @p2265)) % 1.33/1.55 (step @p2268 :rule ho_cong :premises (@p1278 @p798)) % 1.33/1.55 (step @p2269 :rule trans :premises (@p2268 @p2267)) % 1.33/1.55 (step @p2270 :rule nary_cong :premises (@p801 @p2269) :args (@t3370)) % 1.33/1.55 (step @p2271 :rule cong :premises (@p2270) :args ((forall @t1138 @t3370))) % 1.33/1.55 (step @p2272 :rule bool-impl-elim :args (@t1136 @t1161)) % 1.33/1.55 (step @p2273 :rule cong :premises (@p2272) :args (@t1162)) % 1.33/1.55 (step @p2274 :rule trans :premises (@p2273 @p2271)) % 1.33/1.55 (step @p2275 :rule refl :args (tptp.complementT_lem)) % 1.33/1.55 (step @p2276 :rule cong :premises (@p2275 @p2274) :args (@t1163)) % 1.33/1.55 (step @p2277 :rule eq_resolve :premises (@p231 @p2276)) % 1.33/1.55 (step @p2278 :rule cong :premises (@p2277 @p2259) :args (@t3371)) % 1.33/1.55 (step @p2279 :rule aci_norm :args ((= @t3373 @t1818))) % 1.33/1.55 (step @p2280 :rule cong :premises (@p2279) :args (@t3374)) % 1.33/1.55 (step @p2281 :rule quant-merge-prenex :args ((= (forall @t1138 @t3376) @t3374))) % 1.33/1.55 (step @p2282 :rule alpha_equiv :args (@t3377 (@list @t1815) @t2975)) % 1.33/1.55 (step @p2283 :rule nary_cong :premises (@p775 @p2282) :args (@t3378)) % 1.33/1.55 (step @p2284 :rule quant-miniscope-or :args ((= @t3376 @t3378))) % 1.33/1.55 (step @p2285 :rule trans :premises (@p2284 @p2283)) % 1.33/1.55 (step @p2286 :rule symm :premises (@p2285)) % 1.33/1.55 (step @p2287 :rule cong :premises (@p2286) :args ((forall @t1138 (or @t1636 @t3381)))) % 1.33/1.55 (step @p2288 :rule trans :premises (@p2287 @p2281)) % 1.33/1.55 (step @p2289 :rule trans :premises (@p2288 @p2280)) % 1.33/1.55 (step @p2290 :rule refl :args (@t3381)) % 1.33/1.55 (step @p2291 :rule nary_cong :premises (@p801 @p2290) :args (@t3382)) % 1.33/1.55 (step @p2292 :rule cong :premises (@p2291) :args ((forall @t1138 @t3382))) % 1.33/1.55 (step @p2293 :rule trans :premises (@p2292 @p2289)) % 1.33/1.55 (step @p2294 :rule bool-impl-elim :args (@t1136 @t3381)) % 1.33/1.55 (step @p2295 :rule cong :premises (@p2294) :args ((forall @t1138 (=> @t1136 @t3381)))) % 1.33/1.55 (step @p2296 :rule trans :premises (@p2295 @p2293)) % 1.33/1.55 (step @p2297 :rule refl :args ((tptp.in @t1153 @t33))) % 1.33/1.55 (step @p2298 :rule refl :args (@t3379)) % 1.33/1.55 (step @p2299 :rule cong :premises (@p2298 @p785) :args (@t3380)) % 1.33/1.55 (step @p2300 :rule trans :premises (@p2299 @p2297)) % 1.33/1.55 (step @p2301 :rule ho_cong :premises (@p1255 @p2298)) % 1.33/1.55 (step @p2302 :rule ho_cong :premises (@p2301 @p785)) % 1.33/1.55 (step @p2303 :rule cong :premises (@p2302 @p2300) :args ((= (_ (_ tptp.in @t3379) @t1632) @t3380))) % 1.33/1.55 (step @p2304 :rule symm :premises (@p2303)) % 1.33/1.55 (step @p2305 :rule refl :args (@t1154)) % 1.33/1.55 (step @p2306 :rule eq_resolve :premises (@p2305 @p2304)) % 1.33/1.55 (step @p2307 :rule refl :args (@t1153)) % 1.33/1.55 (step @p2308 :rule cong :premises (@p2307 @p2298) :args ((= @t1153 @t3379))) % 1.33/1.55 (step @p2309 :rule symm :premises (@p2308)) % 1.33/1.55 (step @p2310 :rule eq_resolve :premises (@p2307 @p2309)) % 1.33/1.55 (step @p2311 :rule ho_cong :premises (@p1255 @p2310)) % 1.33/1.55 (step @p2312 :rule ho_cong :premises (@p2311 @p798)) % 1.33/1.55 (step @p2313 :rule trans :premises (@p2312 @p2306)) % 1.33/1.55 (step @p2314 :rule nary_cong :premises (@p833 @p2313) :args (@t3383)) % 1.33/1.55 (step @p2315 :rule cong :premises (@p2314) :args ((forall @t1134 @t3383))) % 1.33/1.55 (step @p2316 :rule bool-impl-elim :args (@t1133 @t1154)) % 1.33/1.55 (step @p2317 :rule cong :premises (@p2316) :args (@t1155)) % 1.33/1.55 (step @p2318 :rule trans :premises (@p2317 @p2315)) % 1.33/1.55 (step @p2319 :rule cong :premises (@p930 @p2318) :args (@t1156)) % 1.33/1.55 (step @p2320 :rule cong :premises (@p2319) :args (@t1157)) % 1.33/1.55 (step @p2321 :rule trans :premises (@p2320 @p2296)) % 1.33/1.55 (step @p2322 :rule refl :args (tptp.setminusT_lem)) % 1.33/1.55 (step @p2323 :rule cong :premises (@p2322 @p2321) :args (@t1158)) % 1.33/1.55 (step @p2324 :rule eq_resolve :premises (@p230 @p2323)) % 1.33/1.55 (step @p2325 :rule cong :premises (@p2324 @p2278) :args (@t3384)) % 1.33/1.55 (step @p2326 :rule refl :args ((tptp.in @t1149 @t1148))) % 1.33/1.55 (step @p2327 :rule refl :args ((tptp.powerset @t33))) % 1.33/1.55 (step @p2328 :rule cong :premises (@p785) :args (@t1820)) % 1.33/1.55 (step @p2329 :rule trans :premises (@p2328 @p2327)) % 1.33/1.55 (step @p2330 :rule refl :args (@t1821)) % 1.33/1.55 (step @p2331 :rule cong :premises (@p2330 @p2329) :args (@t1822)) % 1.33/1.55 (step @p2332 :rule trans :premises (@p2331 @p2326)) % 1.33/1.55 (step @p2333 :rule ho_cong :premises (@p1255 @p2330)) % 1.33/1.55 (step @p2334 :rule ho_cong :premises (@p2333 @p2329)) % 1.33/1.55 (step @p2335 :rule cong :premises (@p2334 @p2332) :args ((= (_ (_ tptp.in @t1821) @t1820) @t1822))) % 1.33/1.55 (step @p2336 :rule symm :premises (@p2335)) % 1.33/1.55 (step @p2337 :rule refl :args (@t1150)) % 1.33/1.55 (step @p2338 :rule eq_resolve :premises (@p2337 @p2336)) % 1.33/1.55 (step @p2339 :rule ho_cong :premises (@p1262 @p785)) % 1.33/1.55 (step @p2340 :rule cong :premises (@p2339 @p2329) :args ((= (_ tptp.powerset @t1632) @t1820))) % 1.33/1.55 (step @p2341 :rule symm :premises (@p2340)) % 1.33/1.55 (step @p2342 :rule refl :args (@t1148)) % 1.33/1.55 (step @p2343 :rule eq_resolve :premises (@p2342 @p2341)) % 1.33/1.55 (step @p2344 :rule ho_cong :premises (@p1262 @p798)) % 1.33/1.55 (step @p2345 :rule trans :premises (@p2344 @p2343)) % 1.33/1.55 (step @p2346 :rule refl :args (@t1149)) % 1.33/1.55 (step @p2347 :rule cong :premises (@p2346 @p2330) :args ((= @t1149 @t1821))) % 1.33/1.55 (step @p2348 :rule symm :premises (@p2347)) % 1.33/1.55 (step @p2349 :rule eq_resolve :premises (@p2346 @p2348)) % 1.33/1.55 (step @p2350 :rule ho_cong :premises (@p1255 @p2349)) % 1.33/1.55 (step @p2351 :rule ho_cong :premises (@p2350 @p2345)) % 1.33/1.55 (step @p2352 :rule trans :premises (@p2351 @p2338)) % 1.33/1.55 (step @p2353 :rule nary_cong :premises (@p801 @p2352) :args (@t3385)) % 1.33/1.55 (step @p2354 :rule cong :premises (@p2353) :args ((forall @t1138 @t3385))) % 1.33/1.55 (step @p2355 :rule bool-impl-elim :args (@t1136 @t1150)) % 1.33/1.55 (step @p2356 :rule cong :premises (@p2355) :args (@t1151)) % 1.33/1.55 (step @p2357 :rule trans :premises (@p2356 @p2354)) % 1.33/1.55 (step @p2358 :rule refl :args (tptp.powersetT_lem)) % 1.33/1.55 (step @p2359 :rule cong :premises (@p2358 @p2357) :args (@t1152)) % 1.33/1.55 (step @p2360 :rule eq_resolve :premises (@p229 @p2359)) % 1.33/1.55 (step @p2361 :rule cong :premises (@p2360 @p2325) :args (@t3386)) % 1.33/1.55 (step @p2362 :rule aci_norm :args ((= @t3388 @t1826))) % 1.33/1.55 (step @p2363 :rule cong :premises (@p2362) :args (@t3389)) % 1.33/1.55 (step @p2364 :rule quant-merge-prenex :args ((= (forall @t1138 @t3391) @t3389))) % 1.33/1.55 (step @p2365 :rule alpha_equiv :args (@t3392 (@list @t1823) @t2975)) % 1.33/1.55 (step @p2366 :rule nary_cong :premises (@p775 @p2365) :args (@t3393)) % 1.33/1.55 (step @p2367 :rule quant-miniscope-or :args ((= @t3391 @t3393))) % 1.33/1.55 (step @p2368 :rule trans :premises (@p2367 @p2366)) % 1.33/1.55 (step @p2369 :rule symm :premises (@p2368)) % 1.33/1.55 (step @p2370 :rule cong :premises (@p2369) :args ((forall @t1138 (or @t1636 @t3395)))) % 1.33/1.55 (step @p2371 :rule trans :premises (@p2370 @p2364)) % 1.33/1.55 (step @p2372 :rule trans :premises (@p2371 @p2363)) % 1.33/1.55 (step @p2373 :rule refl :args (@t3395)) % 1.33/1.55 (step @p2374 :rule nary_cong :premises (@p801 @p2373) :args (@t3396)) % 1.33/1.55 (step @p2375 :rule cong :premises (@p2374) :args ((forall @t1138 @t3396))) % 1.33/1.55 (step @p2376 :rule trans :premises (@p2375 @p2372)) % 1.33/1.55 (step @p2377 :rule bool-impl-elim :args (@t1136 @t3395)) % 1.33/1.55 (step @p2378 :rule cong :premises (@p2377) :args ((forall @t1138 (=> @t1136 @t3395)))) % 1.33/1.55 (step @p2379 :rule trans :premises (@p2378 @p2376)) % 1.33/1.55 (step @p2380 :rule refl :args ((tptp.in @t1142 @t33))) % 1.33/1.55 (step @p2381 :rule cong :premises (@p981 @p785) :args (@t3394)) % 1.33/1.55 (step @p2382 :rule trans :premises (@p2381 @p2380)) % 1.33/1.55 (step @p2383 :rule ho_cong :premises (@p1255 @p981)) % 1.33/1.55 (step @p2384 :rule ho_cong :premises (@p2383 @p785)) % 1.33/1.55 (step @p2385 :rule cong :premises (@p2384 @p2382) :args ((= (_ (_ tptp.in @t2921) @t1632) @t3394))) % 1.33/1.55 (step @p2386 :rule symm :premises (@p2385)) % 1.33/1.55 (step @p2387 :rule refl :args (@t1143)) % 1.33/1.55 (step @p2388 :rule eq_resolve :premises (@p2387 @p2386)) % 1.33/1.55 (step @p2389 :rule ho_cong :premises (@p1255 @p992)) % 1.33/1.55 (step @p2390 :rule ho_cong :premises (@p2389 @p798)) % 1.33/1.55 (step @p2391 :rule trans :premises (@p2390 @p2388)) % 1.33/1.55 (step @p2392 :rule nary_cong :premises (@p833 @p2391) :args (@t3397)) % 1.33/1.55 (step @p2393 :rule cong :premises (@p2392) :args ((forall @t1134 @t3397))) % 1.33/1.55 (step @p2394 :rule bool-impl-elim :args (@t1133 @t1143)) % 1.33/1.55 (step @p2395 :rule cong :premises (@p2394) :args (@t1144)) % 1.33/1.55 (step @p2396 :rule trans :premises (@p2395 @p2393)) % 1.33/1.55 (step @p2397 :rule cong :premises (@p930 @p2396) :args (@t1145)) % 1.33/1.55 (step @p2398 :rule cong :premises (@p2397) :args (@t1146)) % 1.33/1.55 (step @p2399 :rule trans :premises (@p2398 @p2379)) % 1.33/1.55 (step @p2400 :rule refl :args (tptp.binunionT_lem)) % 1.33/1.55 (step @p2401 :rule cong :premises (@p2400 @p2399) :args (@t1147)) % 1.33/1.55 (step @p2402 :rule eq_resolve :premises (@p228 @p2401)) % 1.33/1.55 (step @p2403 :rule cong :premises (@p2402 @p2361) :args (@t3398)) % 1.33/1.55 (step @p2404 :rule aci_norm :args ((= @t3400 @t1831))) % 1.33/1.55 (step @p2405 :rule cong :premises (@p2404) :args (@t3401)) % 1.33/1.55 (step @p2406 :rule quant-merge-prenex :args ((= (forall @t1138 @t3403) @t3401))) % 1.33/1.55 (step @p2407 :rule alpha_equiv :args (@t3404 (@list @t1828) @t2975)) % 1.33/1.55 (step @p2408 :rule nary_cong :premises (@p775 @p2407) :args (@t3405)) % 1.33/1.55 (step @p2409 :rule quant-miniscope-or :args ((= @t3403 @t3405))) % 1.33/1.55 (step @p2410 :rule trans :premises (@p2409 @p2408)) % 1.33/1.55 (step @p2411 :rule symm :premises (@p2410)) % 1.33/1.55 (step @p2412 :rule cong :premises (@p2411) :args ((forall @t1138 (or @t1636 @t3407)))) % 1.33/1.55 (step @p2413 :rule trans :premises (@p2412 @p2406)) % 1.33/1.55 (step @p2414 :rule trans :premises (@p2413 @p2405)) % 1.33/1.55 (step @p2415 :rule refl :args (@t3407)) % 1.33/1.55 (step @p2416 :rule nary_cong :premises (@p801 @p2415) :args (@t3408)) % 1.33/1.55 (step @p2417 :rule cong :premises (@p2416) :args ((forall @t1138 @t3408))) % 1.33/1.55 (step @p2418 :rule trans :premises (@p2417 @p2414)) % 1.33/1.55 (step @p2419 :rule bool-impl-elim :args (@t1136 @t3407)) % 1.33/1.55 (step @p2420 :rule cong :premises (@p2419) :args ((forall @t1138 (=> @t1136 @t3407)))) % 1.33/1.55 (step @p2421 :rule trans :premises (@p2420 @p2418)) % 1.33/1.55 (step @p2422 :rule refl :args ((tptp.in @t1130 @t33))) % 1.33/1.55 (step @p2423 :rule cong :premises (@p890 @p785) :args (@t3406)) % 1.33/1.55 (step @p2424 :rule trans :premises (@p2423 @p2422)) % 1.33/1.55 (step @p2425 :rule ho_cong :premises (@p1255 @p890)) % 1.33/1.55 (step @p2426 :rule ho_cong :premises (@p2425 @p785)) % 1.33/1.55 (step @p2427 :rule cong :premises (@p2426 @p2424) :args ((= (_ (_ tptp.in @t2866) @t1632) @t3406))) % 1.33/1.55 (step @p2428 :rule symm :premises (@p2427)) % 1.33/1.55 (step @p2429 :rule refl :args (@t1131)) % 1.33/1.55 (step @p2430 :rule eq_resolve :premises (@p2429 @p2428)) % 1.33/1.55 (step @p2431 :rule ho_cong :premises (@p1255 @p901)) % 1.33/1.55 (step @p2432 :rule ho_cong :premises (@p2431 @p798)) % 1.33/1.55 (step @p2433 :rule trans :premises (@p2432 @p2430)) % 1.33/1.55 (step @p2434 :rule nary_cong :premises (@p833 @p2433) :args (@t3409)) % 1.33/1.55 (step @p2435 :rule cong :premises (@p2434) :args ((forall @t1134 @t3409))) % 1.33/1.55 (step @p2436 :rule bool-impl-elim :args (@t1133 @t1131)) % 1.33/1.55 (step @p2437 :rule cong :premises (@p2436) :args (@t1135)) % 1.33/1.55 (step @p2438 :rule trans :premises (@p2437 @p2435)) % 1.33/1.55 (step @p2439 :rule cong :premises (@p930 @p2438) :args (@t1137)) % 1.33/1.55 (step @p2440 :rule cong :premises (@p2439) :args (@t1139)) % 1.33/1.55 (step @p2441 :rule trans :premises (@p2440 @p2421)) % 1.33/1.55 (step @p2442 :rule refl :args (tptp.binintersectT_lem)) % 1.33/1.55 (step @p2443 :rule cong :premises (@p2442 @p2441) :args (@t1140)) % 1.33/1.55 (step @p2444 :rule eq_resolve :premises (@p227 @p2443)) % 1.33/1.55 (step @p2445 :rule cong :premises (@p2444 @p2403) :args (@t3410)) % 1.33/1.55 (step @p2446 :rule aci_norm :args ((= @t3412 @t1836))) % 1.33/1.55 (step @p2447 :rule cong :premises (@p2446) :args (@t3413)) % 1.33/1.55 (step @p2448 :rule quant-merge-prenex :args ((= (forall @t1072 @t3415) @t3413))) % 1.33/1.55 (step @p2449 :rule alpha_equiv :args (@t3416 (@list @t1833) @t3417)) % 1.33/1.55 (step @p2450 :rule refl :args (@t1795)) % 1.33/1.55 (step @p2451 :rule nary_cong :premises (@p2450 @p2449) :args (@t3418)) % 1.33/1.55 (step @p2452 :rule quant-miniscope-or :args ((= @t3415 @t3418))) % 1.33/1.55 (step @p2453 :rule trans :premises (@p2452 @p2451)) % 1.33/1.55 (step @p2454 :rule symm :premises (@p2453)) % 1.33/1.55 (step @p2455 :rule cong :premises (@p2454) :args ((forall @t1072 (or @t1795 @t3421)))) % 1.33/1.55 (step @p2456 :rule trans :premises (@p2455 @p2448)) % 1.33/1.55 (step @p2457 :rule trans :premises (@p2456 @p2447)) % 1.33/1.55 (step @p2458 :rule refl :args (@t3421)) % 1.33/1.55 (step @p2459 :rule nary_cong :premises (@p910 @p2458) :args (@t3422)) % 1.33/1.55 (step @p2460 :rule cong :premises (@p2459) :args ((forall @t1072 @t3422))) % 1.33/1.55 (step @p2461 :rule trans :premises (@p2460 @p2457)) % 1.33/1.55 (step @p2462 :rule bool-impl-elim :args (@t7 @t3421)) % 1.33/1.55 (step @p2463 :rule cong :premises (@p2462) :args ((forall @t1072 (=> @t7 @t3421)))) % 1.33/1.55 (step @p2464 :rule trans :premises (@p2463 @p2461)) % 1.33/1.55 (step @p2465 :rule refl :args ((tptp.in @t1100 @t293))) % 1.33/1.55 (step @p2466 :rule refl :args ((tptp.setadjoin @t4 @t275))) % 1.33/1.55 (step @p2467 :rule refl :args (@t2118)) % 1.33/1.55 (step @p2468 :rule cong :premises (@p874 @p2467) :args (@t2119)) % 1.33/1.55 (step @p2469 :rule trans :premises (@p2468 @p2466)) % 1.33/1.55 (step @p2470 :rule refl :args (@t3419)) % 1.33/1.55 (step @p2471 :rule cong :premises (@p2470 @p2469) :args (@t3420)) % 1.33/1.55 (step @p2472 :rule trans :premises (@p2471 @p2465)) % 1.33/1.55 (step @p2473 :rule ho_cong :premises (@p1255 @p2470)) % 1.33/1.55 (step @p2474 :rule ho_cong :premises (@p2473 @p2469)) % 1.33/1.55 (step @p2475 :rule cong :premises (@p2474 @p2472) :args ((= (_ @t3423 @t2119) @t3420))) % 1.33/1.55 (step @p2476 :rule symm :premises (@p2475)) % 1.33/1.55 (step @p2477 :rule refl :args (@t1124)) % 1.33/1.55 (step @p2478 :rule eq_resolve :premises (@p2477 @p2476)) % 1.33/1.55 (step @p2479 :rule refl :args (@t24)) % 1.33/1.55 (step @p2480 :rule ho_cong :premises (@p2479 @p2467)) % 1.33/1.55 (step @p2481 :rule cong :premises (@p2480 @p2469) :args ((= (_ @t24 @t2118) @t2119))) % 1.33/1.55 (step @p2482 :rule symm :premises (@p2481)) % 1.33/1.55 (step @p2483 :rule refl :args (@t293)) % 1.33/1.55 (step @p2484 :rule eq_resolve :premises (@p2483 @p2482)) % 1.33/1.55 (step @p2485 :rule refl :args (@t275)) % 1.33/1.55 (step @p2486 :rule cong :premises (@p2485 @p2467) :args ((= @t275 @t2118))) % 1.33/1.55 (step @p2487 :rule symm :premises (@p2486)) % 1.33/1.55 (step @p2488 :rule eq_resolve :premises (@p2485 @p2487)) % 1.33/1.55 (step @p2489 :rule ho_cong :premises (@p2479 @p2488)) % 1.33/1.55 (step @p2490 :rule trans :premises (@p2489 @p2484)) % 1.33/1.55 (step @p2491 :rule refl :args (@t1100)) % 1.33/1.55 (step @p2492 :rule cong :premises (@p2491 @p2470) :args ((= @t1100 @t3419))) % 1.33/1.55 (step @p2493 :rule symm :premises (@p2492)) % 1.33/1.55 (step @p2494 :rule eq_resolve :premises (@p2491 @p2493)) % 1.33/1.55 (step @p2495 :rule ho_cong :premises (@p1255 @p2494)) % 1.33/1.55 (step @p2496 :rule ho_cong :premises (@p2495 @p2490)) % 1.33/1.55 (step @p2497 :rule trans :premises (@p2496 @p2478)) % 1.33/1.55 (step @p2498 :rule refl :args (@t2169)) % 1.33/1.55 (step @p2499 :rule refl :args (@t21)) % 1.33/1.55 (step @p2500 :rule cong :premises (@p2499 @p2498) :args ((= @t21 @t2169))) % 1.33/1.55 (step @p2501 :rule symm :premises (@p2500)) % 1.33/1.55 (step @p2502 :rule eq_resolve :premises (@p2499 @p2501)) % 1.33/1.55 (step @p2503 :rule cong :premises (@p2502) :args (@t3424)) % 1.33/1.55 (step @p2504 :rule nary_cong :premises (@p2503 @p2497) :args (@t3425)) % 1.33/1.55 (step @p2505 :rule cong :premises (@p2504) :args ((forall @t70 @t3425))) % 1.33/1.55 (step @p2506 :rule bool-impl-elim :args (@t21 @t1124)) % 1.33/1.55 (step @p2507 :rule cong :premises (@p2506) :args (@t1125)) % 1.33/1.55 (step @p2508 :rule trans :premises (@p2507 @p2505)) % 1.33/1.55 (step @p2509 :rule refl :args (@t7)) % 1.33/1.55 (step @p2510 :rule cong :premises (@p2509 @p2508) :args (@t1126)) % 1.33/1.55 (step @p2511 :rule cong :premises (@p2510) :args (@t1127)) % 1.33/1.55 (step @p2512 :rule trans :premises (@p2511 @p2464)) % 1.33/1.55 (step @p2513 :rule refl :args (tptp.iftrueorfalse)) % 1.33/1.55 (step @p2514 :rule cong :premises (@p2513 @p2512) :args (@t1128)) % 1.33/1.55 (step @p2515 :rule eq_resolve :premises (@p226 @p2514)) % 1.33/1.55 (step @p2516 :rule cong :premises (@p2515 @p2445) :args (@t3426)) % 1.33/1.55 (step @p2517 :rule aci_norm :args ((= @t3427 @t1841))) % 1.33/1.55 (step @p2518 :rule cong :premises (@p2517) :args ((forall @t1842 @t3427))) % 1.33/1.55 (step @p2519 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3429 @t1795 @t173 @t1840 @t3428)) @t3427))) % 1.33/1.55 (step @p2520 :rule refl :args (@t3428)) % 1.33/1.55 (step @p2521 :rule refl :args (@t1840)) % 1.33/1.55 (step @p2522 :rule refl :args (@t173)) % 1.33/1.55 (step @p2523 :rule bool-eq-false :args (@t173)) % 1.33/1.55 (step @p2524 :rule symm :premises (@p2523)) % 1.33/1.55 (step @p2525 :rule cong :premises (@p2524) :args (@t3430)) % 1.33/1.55 (step @p2526 :rule bool-double-not-elim :args (@t173)) % 1.33/1.55 (step @p2527 :rule symm :premises (@p2526)) % 1.33/1.55 (step @p2528 :rule trans :premises (@p2527 @p2525)) % 1.33/1.55 (step @p2529 :rule nary_cong :premises (@p2528 @p2450 @p2522 @p2521 @p2520) :args (@t3431)) % 1.33/1.55 (step @p2530 :rule aci_norm :args ((= @t3432 @t3431))) % 1.33/1.55 (step @p2531 :rule trans :premises (@p2530 @p2529)) % 1.33/1.55 (step @p2532 :rule cong :premises (@p2531) :args (@t3433)) % 1.33/1.55 (step @p2533 :rule trans :premises (@p2532 @p2519)) % 1.33/1.55 (step @p2534 :rule cong :premises (@p2533) :args (@t3434)) % 1.33/1.55 (step @p2535 :rule quant-merge-prenex :args ((= @t3434 @t3435))) % 1.33/1.55 (step @p2536 :rule symm :premises (@p2535)) % 1.33/1.55 (step @p2537 :rule quant_var_reordering :args ((= (forall @t3436 @t3432) @t3435))) % 1.33/1.55 (step @p2538 :rule trans :premises (@p2537 @p2536 @p2534)) % 1.33/1.55 (step @p2539 :rule trans :premises (@p2538 @p2518)) % 1.33/1.55 (step @p2540 :rule aci_norm :args ((= @t3438 @t3432))) % 1.33/1.55 (step @p2541 :rule cong :premises (@p2540) :args (@t3439)) % 1.33/1.55 (step @p2542 :rule trans :premises (@p2541 @p2539)) % 1.33/1.55 (step @p2543 :rule quant-merge-prenex :args ((= (forall @t1072 @t3441) @t3439))) % 1.33/1.55 (step @p2544 :rule alpha_equiv :args (@t3442 (@list @t1838) @t3417)) % 1.33/1.55 (step @p2545 :rule nary_cong :premises (@p2450 @p2522 @p2544) :args (@t3443)) % 1.33/1.55 (step @p2546 :rule quant-miniscope-or :args ((= @t3441 @t3443))) % 1.33/1.55 (step @p2547 :rule trans :premises (@p2546 @p2545)) % 1.33/1.55 (step @p2548 :rule symm :premises (@p2547)) % 1.33/1.55 (step @p2549 :rule cong :premises (@p2548) :args ((forall @t1072 (or @t1795 @t173 @t3444)))) % 1.33/1.55 (step @p2550 :rule trans :premises (@p2549 @p2543)) % 1.33/1.55 (step @p2551 :rule trans :premises (@p2550 @p2542)) % 1.33/1.55 (step @p2552 :rule refl :args (@t3444)) % 1.33/1.55 (step @p2553 :rule nary_cong :premises (@p910 @p2522 @p2552) :args (@t3445)) % 1.33/1.55 (step @p2554 :rule cong :premises (@p2553) :args ((forall @t1072 @t3445))) % 1.33/1.55 (step @p2555 :rule trans :premises (@p2554 @p2551)) % 1.33/1.55 (step @p2556 :rule aci_norm :args ((= (or @t197 @t3446) @t3445))) % 1.33/1.55 (step @p2557 :rule bool-impl-elim :args (@t7 @t3446)) % 1.33/1.55 (step @p2558 :rule trans :premises (@p2557 @p2556)) % 1.33/1.55 (step @p2559 :rule cong :premises (@p2558) :args ((forall @t1072 (=> @t7 @t3446)))) % 1.33/1.55 (step @p2560 :rule trans :premises (@p2559 @p2555)) % 1.33/1.55 (step @p2561 :rule refl :args (@t19)) % 1.33/1.55 (step @p2562 :rule cong :premises (@p2561 @p2494) :args (@t3447)) % 1.33/1.55 (step @p2563 :rule nary_cong :premises (@p2503 @p2562) :args (@t3448)) % 1.33/1.55 (step @p2564 :rule cong :premises (@p2563) :args (@t3449)) % 1.33/1.55 (step @p2565 :rule refl :args (@t173)) % 1.33/1.55 (step @p2566 :rule nary_cong :premises (@p2565 @p2564) :args (@t3450)) % 1.33/1.55 (step @p2567 :rule quant-miniscope-or :args ((= (forall @t70 @t3451) @t3450))) % 1.33/1.55 (step @p2568 :rule aci_norm :args ((= @t3452 @t3451))) % 1.33/1.55 (step @p2569 :rule cong :premises (@p2568) :args ((forall @t70 @t3452))) % 1.33/1.55 (step @p2570 :rule trans :premises (@p2569 @p2567)) % 1.33/1.55 (step @p2571 :rule trans :premises (@p2570 @p2566)) % 1.33/1.55 (step @p2572 :rule aci_norm :args ((= (or @t3424 (or @t173 @t3447)) @t3452))) % 1.33/1.55 (step @p2573 :rule refl :args (@t3447)) % 1.33/1.55 (step @p2574 :rule nary_cong :premises (@p2526 @p2573) :args ((or @t3430 @t3447))) % 1.33/1.55 (step @p2575 :rule bool-impl-elim :args (@t1061 @t3447)) % 1.33/1.55 (step @p2576 :rule trans :premises (@p2575 @p2574)) % 1.33/1.55 (step @p2577 :rule refl :args (@t3424)) % 1.33/1.55 (step @p2578 :rule nary_cong :premises (@p2577 @p2576) :args ((or @t3424 @t3453))) % 1.33/1.55 (step @p2579 :rule trans :premises (@p2578 @p2572)) % 1.33/1.55 (step @p2580 :rule bool-impl-elim :args (@t21 @t3453)) % 1.33/1.55 (step @p2581 :rule trans :premises (@p2580 @p2579)) % 1.33/1.55 (step @p2582 :rule cong :premises (@p2581) :args ((forall @t70 (=> @t21 @t3453)))) % 1.33/1.55 (step @p2583 :rule trans :premises (@p2582 @p2571)) % 1.33/1.55 (step @p2584 :rule eq-symm :args (@t1100 @t19)) % 1.33/1.55 (step @p2585 :rule refl :args (@t1061)) % 1.33/1.55 (step @p2586 :rule cong :premises (@p2585 @p2584) :args (@t1118)) % 1.33/1.55 (step @p2587 :rule refl :args (@t21)) % 1.33/1.55 (step @p2588 :rule cong :premises (@p2587 @p2586) :args (@t1119)) % 1.33/1.55 (step @p2589 :rule cong :premises (@p2588) :args (@t1120)) % 1.33/1.55 (step @p2590 :rule trans :premises (@p2589 @p2583)) % 1.33/1.55 (step @p2591 :rule cong :premises (@p2509 @p2590) :args (@t1121)) % 1.33/1.55 (step @p2592 :rule cong :premises (@p2591) :args (@t1122)) % 1.33/1.55 (step @p2593 :rule trans :premises (@p2592 @p2560)) % 1.33/1.55 (step @p2594 :rule refl :args (tptp.iffalse)) % 1.33/1.55 (step @p2595 :rule cong :premises (@p2594 @p2593) :args (@t1123)) % 1.33/1.55 (step @p2596 :rule eq_resolve :premises (@p225 @p2595)) % 1.33/1.55 (step @p2597 :rule cong :premises (@p2596 @p2516) :args (@t3454)) % 1.33/1.55 (step @p2598 :rule aci_norm :args ((= (or @t1795 false @t1845 @t1844) @t1846))) % 1.33/1.55 (step @p2599 :rule refl :args (@t1844)) % 1.33/1.55 (step @p2600 :rule refl :args (@t1845)) % 1.33/1.55 (step @p2601 :rule evaluate :args (@t3455)) % 1.33/1.55 (step @p2602 :rule refl :args (@t1795)) % 1.33/1.55 (step @p2603 :rule nary_cong :premises (@p2602 @p2601 @p2600 @p2599) :args (@t3456)) % 1.33/1.55 (step @p2604 :rule trans :premises (@p2603 @p2598)) % 1.33/1.55 (step @p2605 :rule cong :premises (@p2604) :args ((forall @t1847 @t3456))) % 1.33/1.55 (step @p2606 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3458 @t1795 @t1061 @t1845 @t3457)) @t3456))) % 1.33/1.55 (step @p2607 :rule refl :args (@t3457)) % 1.33/1.55 (step @p2608 :rule refl :args (@t1845)) % 1.33/1.55 (step @p2609 :rule refl :args (@t1061)) % 1.33/1.55 (step @p2610 :rule bool-eq-true :args (@t173)) % 1.33/1.55 (step @p2611 :rule symm :premises (@p2610)) % 1.33/1.55 (step @p2612 :rule cong :premises (@p2611) :args (@t1061)) % 1.33/1.55 (step @p2613 :rule nary_cong :premises (@p2612 @p2450 @p2609 @p2608 @p2607) :args (@t3459)) % 1.33/1.55 (step @p2614 :rule aci_norm :args ((= @t3460 @t3459))) % 1.33/1.55 (step @p2615 :rule trans :premises (@p2614 @p2613)) % 1.33/1.55 (step @p2616 :rule cong :premises (@p2615) :args (@t3461)) % 1.33/1.55 (step @p2617 :rule trans :premises (@p2616 @p2606)) % 1.33/1.55 (step @p2618 :rule cong :premises (@p2617) :args (@t3462)) % 1.33/1.55 (step @p2619 :rule quant-merge-prenex :args ((= @t3462 @t3463))) % 1.33/1.55 (step @p2620 :rule symm :premises (@p2619)) % 1.33/1.55 (step @p2621 :rule quant_var_reordering :args ((= (forall @t3464 @t3460) @t3463))) % 1.33/1.55 (step @p2622 :rule trans :premises (@p2621 @p2620 @p2618)) % 1.33/1.55 (step @p2623 :rule trans :premises (@p2622 @p2605)) % 1.33/1.55 (step @p2624 :rule aci_norm :args ((= @t3466 @t3460))) % 1.33/1.55 (step @p2625 :rule cong :premises (@p2624) :args (@t3467)) % 1.33/1.55 (step @p2626 :rule trans :premises (@p2625 @p2623)) % 1.33/1.55 (step @p2627 :rule quant-merge-prenex :args ((= (forall @t1072 @t3469) @t3467))) % 1.33/1.55 (step @p2628 :rule alpha_equiv :args (@t3470 (@list @t1843) @t3417)) % 1.33/1.55 (step @p2629 :rule nary_cong :premises (@p2450 @p2609 @p2628) :args (@t3471)) % 1.33/1.55 (step @p2630 :rule quant-miniscope-or :args ((= @t3469 @t3471))) % 1.33/1.55 (step @p2631 :rule trans :premises (@p2630 @p2629)) % 1.33/1.55 (step @p2632 :rule symm :premises (@p2631)) % 1.33/1.55 (step @p2633 :rule cong :premises (@p2632) :args ((forall @t1072 (or @t1795 @t1061 @t3472)))) % 1.33/1.55 (step @p2634 :rule trans :premises (@p2633 @p2627)) % 1.33/1.55 (step @p2635 :rule trans :premises (@p2634 @p2626)) % 1.33/1.55 (step @p2636 :rule refl :args (@t3472)) % 1.33/1.55 (step @p2637 :rule nary_cong :premises (@p910 @p2609 @p2636) :args (@t3473)) % 1.33/1.55 (step @p2638 :rule cong :premises (@p2637) :args ((forall @t1072 @t3473))) % 1.33/1.55 (step @p2639 :rule trans :premises (@p2638 @p2635)) % 1.33/1.55 (step @p2640 :rule aci_norm :args ((= (or @t197 @t3474) @t3473))) % 1.33/1.55 (step @p2641 :rule bool-impl-elim :args (@t7 @t3474)) % 1.33/1.55 (step @p2642 :rule trans :premises (@p2641 @p2640)) % 1.33/1.55 (step @p2643 :rule cong :premises (@p2642) :args ((forall @t1072 (=> @t7 @t3474)))) % 1.33/1.55 (step @p2644 :rule trans :premises (@p2643 @p2639)) % 1.33/1.55 (step @p2645 :rule cong :premises (@p874 @p2494) :args (@t3475)) % 1.33/1.55 (step @p2646 :rule nary_cong :premises (@p2503 @p2645) :args (@t3476)) % 1.33/1.55 (step @p2647 :rule cong :premises (@p2646) :args (@t3477)) % 1.33/1.55 (step @p2648 :rule nary_cong :premises (@p2585 @p2647) :args (@t3478)) % 1.33/1.55 (step @p2649 :rule quant-miniscope-or :args ((= (forall @t70 @t3479) @t3478))) % 1.33/1.55 (step @p2650 :rule aci_norm :args ((= @t3480 @t3479))) % 1.33/1.55 (step @p2651 :rule cong :premises (@p2650) :args ((forall @t70 @t3480))) % 1.33/1.55 (step @p2652 :rule trans :premises (@p2651 @p2649)) % 1.33/1.55 (step @p2653 :rule trans :premises (@p2652 @p2648)) % 1.33/1.55 (step @p2654 :rule aci_norm :args ((= (or @t3424 (or @t1061 @t3475)) @t3480))) % 1.33/1.55 (step @p2655 :rule bool-impl-elim :args (@t173 @t3475)) % 1.33/1.55 (step @p2656 :rule nary_cong :premises (@p2577 @p2655) :args ((or @t3424 @t3481))) % 1.33/1.55 (step @p2657 :rule trans :premises (@p2656 @p2654)) % 1.33/1.55 (step @p2658 :rule bool-impl-elim :args (@t21 @t3481)) % 1.33/1.55 (step @p2659 :rule trans :premises (@p2658 @p2657)) % 1.33/1.55 (step @p2660 :rule cong :premises (@p2659) :args ((forall @t70 (=> @t21 @t3481)))) % 1.33/1.55 (step @p2661 :rule trans :premises (@p2660 @p2653)) % 1.33/1.55 (step @p2662 :rule eq-symm :args (@t1100 @t4)) % 1.33/1.55 (step @p2663 :rule cong :premises (@p2565 @p2662) :args (@t1112)) % 1.33/1.55 (step @p2664 :rule cong :premises (@p2587 @p2663) :args (@t1113)) % 1.33/1.55 (step @p2665 :rule cong :premises (@p2664) :args (@t1114)) % 1.33/1.55 (step @p2666 :rule trans :premises (@p2665 @p2661)) % 1.33/1.55 (step @p2667 :rule cong :premises (@p2509 @p2666) :args (@t1115)) % 1.33/1.55 (step @p2668 :rule cong :premises (@p2667) :args (@t1116)) % 1.33/1.55 (step @p2669 :rule trans :premises (@p2668 @p2644)) % 1.33/1.55 (step @p2670 :rule refl :args (tptp.iftrue)) % 1.33/1.55 (step @p2671 :rule cong :premises (@p2670 @p2669) :args (@t1117)) % 1.33/1.55 (step @p2672 :rule eq_resolve :premises (@p224 @p2671)) % 1.33/1.55 (step @p2673 :rule cong :premises (@p2672 @p2597) :args (@t3482)) % 1.33/1.55 (step @p2674 :rule eq-symm :args (@t1848 @t1849)) % 1.33/1.55 (step @p2675 :rule refl :args (@t1850)) % 1.33/1.55 (step @p2676 :rule refl :args (@t1852)) % 1.33/1.55 (step @p2677 :rule nary_cong :premises (@p2676 @p2675 @p2674) :args (@t3484)) % 1.33/1.55 (step @p2678 :rule aci_norm :args ((= @t3486 @t3484))) % 1.33/1.55 (step @p2679 :rule trans :premises (@p2678 @p2677)) % 1.33/1.55 (step @p2680 :rule cong :premises (@p2679) :args (@t3487)) % 1.33/1.55 (step @p2681 :rule quant-merge-prenex :args ((= (forall @t700 @t3489) @t3487))) % 1.33/1.55 (step @p2682 :rule alpha_equiv :args (@t3490 (@list @t1848) @t2902)) % 1.33/1.55 (step @p2683 :rule refl :args (@t1852)) % 1.33/1.55 (step @p2684 :rule nary_cong :premises (@p2683 @p2682) :args (@t3491)) % 1.33/1.55 (step @p2685 :rule quant-miniscope-or :args ((= @t3489 @t3491))) % 1.33/1.55 (step @p2686 :rule trans :premises (@p2685 @p2684)) % 1.33/1.55 (step @p2687 :rule symm :premises (@p2686)) % 1.33/1.55 (step @p2688 :rule cong :premises (@p2687) :args ((forall @t700 (or @t1852 @t3492)))) % 1.33/1.55 (step @p2689 :rule trans :premises (@p2688 @p2681)) % 1.33/1.55 (step @p2690 :rule trans :premises (@p2689 @p2680)) % 1.33/1.55 (step @p2691 :rule refl :args (@t3492)) % 1.33/1.55 (step @p2692 :rule refl :args (@t1851)) % 1.33/1.55 (step @p2693 :rule refl :args (@t761)) % 1.33/1.55 (step @p2694 :rule cong :premises (@p2693 @p2692) :args ((= @t761 @t1851))) % 1.33/1.55 (step @p2695 :rule symm :premises (@p2694)) % 1.33/1.55 (step @p2696 :rule eq_resolve :premises (@p2693 @p2695)) % 1.33/1.55 (step @p2697 :rule cong :premises (@p2696) :args (@t3493)) % 1.33/1.55 (step @p2698 :rule nary_cong :premises (@p2697 @p2691) :args (@t3494)) % 1.33/1.55 (step @p2699 :rule cong :premises (@p2698) :args ((forall @t700 @t3494))) % 1.33/1.55 (step @p2700 :rule trans :premises (@p2699 @p2690)) % 1.33/1.55 (step @p2701 :rule bool-impl-elim :args (@t761 @t3492)) % 1.33/1.55 (step @p2702 :rule cong :premises (@p2701) :args ((forall @t700 (=> @t761 @t3492)))) % 1.33/1.55 (step @p2703 :rule trans :premises (@p2702 @p2700)) % 1.33/1.55 (step @p2704 :rule refl :args (@t1849)) % 1.33/1.55 (step @p2705 :rule refl :args (@t759)) % 1.33/1.55 (step @p2706 :rule cong :premises (@p2705 @p2704) :args ((= @t759 @t1849))) % 1.33/1.55 (step @p2707 :rule symm :premises (@p2706)) % 1.33/1.55 (step @p2708 :rule eq_resolve :premises (@p2705 @p2707)) % 1.33/1.55 (step @p2709 :rule cong :premises (@p874 @p2708) :args (@t3495)) % 1.33/1.55 (step @p2710 :rule nary_cong :premises (@p1060 @p2709) :args (@t3496)) % 1.33/1.55 (step @p2711 :rule cong :premises (@p2710) :args ((forall @t9 @t3496))) % 1.33/1.55 (step @p2712 :rule bool-impl-elim :args (@t696 @t3495)) % 1.33/1.55 (step @p2713 :rule cong :premises (@p2712) :args ((forall @t9 (=> @t696 @t3495)))) % 1.33/1.55 (step @p2714 :rule trans :premises (@p2713 @p2711)) % 1.33/1.55 (step @p2715 :rule eq-symm :args (@t759 @t4)) % 1.33/1.55 (step @p2716 :rule refl :args (@t696)) % 1.33/1.55 (step @p2717 :rule cong :premises (@p2716 @p2715) :args (@t1107)) % 1.33/1.55 (step @p2718 :rule cong :premises (@p2717) :args (@t1108)) % 1.33/1.55 (step @p2719 :rule trans :premises (@p2718 @p2714)) % 1.33/1.55 (step @p2720 :rule refl :args (@t761)) % 1.33/1.55 (step @p2721 :rule cong :premises (@p2720 @p2719) :args (@t1109)) % 1.33/1.55 (step @p2722 :rule cong :premises (@p2721) :args (@t1110)) % 1.33/1.55 (step @p2723 :rule trans :premises (@p2722 @p2703)) % 1.33/1.55 (step @p2724 :rule refl :args (tptp.theeq)) % 1.33/1.55 (step @p2725 :rule cong :premises (@p2724 @p2723) :args (@t1111)) % 1.33/1.55 (step @p2726 :rule eq_resolve :premises (@p223 @p2725)) % 1.33/1.55 (step @p2727 :rule cong :premises (@p2726 @p2673) :args (@t3497)) % 1.33/1.55 (step @p2728 :rule aci_norm :args ((= @t3499 @t1857))) % 1.33/1.55 (step @p2729 :rule cong :premises (@p2728) :args (@t3500)) % 1.33/1.55 (step @p2730 :rule quant-merge-prenex :args ((= (forall @t1072 @t3502) @t3500))) % 1.33/1.55 (step @p2731 :rule alpha_equiv :args (@t3503 (@list @t1854) @t3417)) % 1.33/1.55 (step @p2732 :rule nary_cong :premises (@p2450 @p2731) :args (@t3504)) % 1.33/1.55 (step @p2733 :rule quant-miniscope-or :args ((= @t3502 @t3504))) % 1.33/1.55 (step @p2734 :rule trans :premises (@p2733 @p2732)) % 1.33/1.55 (step @p2735 :rule symm :premises (@p2734)) % 1.33/1.55 (step @p2736 :rule cong :premises (@p2735) :args ((forall @t1072 (or @t1795 @t3506)))) % 1.33/1.55 (step @p2737 :rule trans :premises (@p2736 @p2730)) % 1.33/1.55 (step @p2738 :rule trans :premises (@p2737 @p2729)) % 1.33/1.55 (step @p2739 :rule refl :args (@t3506)) % 1.33/1.55 (step @p2740 :rule nary_cong :premises (@p910 @p2739) :args (@t3507)) % 1.33/1.55 (step @p2741 :rule cong :premises (@p2740) :args ((forall @t1072 @t3507))) % 1.33/1.55 (step @p2742 :rule trans :premises (@p2741 @p2738)) % 1.33/1.55 (step @p2743 :rule bool-impl-elim :args (@t7 @t3506)) % 1.33/1.55 (step @p2744 :rule cong :premises (@p2743) :args ((forall @t1072 (=> @t7 @t3506)))) % 1.33/1.55 (step @p2745 :rule trans :premises (@p2744 @p2742)) % 1.33/1.55 (step @p2746 :rule refl :args ((tptp.in @t1100 @t2))) % 1.33/1.55 (step @p2747 :rule cong :premises (@p2470 @p1248) :args (@t3505)) % 1.33/1.55 (step @p2748 :rule trans :premises (@p2747 @p2746)) % 1.33/1.55 (step @p2749 :rule ho_cong :premises (@p2473 @p1248)) % 1.33/1.55 (step @p2750 :rule cong :premises (@p2749 @p2748) :args ((= (_ @t3423 @t2) @t3505))) % 1.33/1.55 (step @p2751 :rule symm :premises (@p2750)) % 1.33/1.55 (step @p2752 :rule refl :args (@t1102)) % 1.33/1.55 (step @p2753 :rule eq_resolve :premises (@p2752 @p2751)) % 1.33/1.55 (step @p2754 :rule ho_cong :premises (@p2495 @p1248)) % 1.33/1.55 (step @p2755 :rule trans :premises (@p2754 @p2753)) % 1.33/1.55 (step @p2756 :rule nary_cong :premises (@p2503 @p2755) :args (@t3508)) % 1.33/1.55 (step @p2757 :rule cong :premises (@p2756) :args ((forall @t70 @t3508))) % 1.33/1.55 (step @p2758 :rule bool-impl-elim :args (@t21 @t1102)) % 1.33/1.55 (step @p2759 :rule cong :premises (@p2758) :args (@t1103)) % 1.33/1.55 (step @p2760 :rule trans :premises (@p2759 @p2757)) % 1.33/1.55 (step @p2761 :rule cong :premises (@p2509 @p2760) :args (@t1104)) % 1.33/1.55 (step @p2762 :rule cong :premises (@p2761) :args (@t1105)) % 1.33/1.55 (step @p2763 :rule trans :premises (@p2762 @p2745)) % 1.33/1.55 (step @p2764 :rule refl :args (tptp.ifp)) % 1.33/1.55 (step @p2765 :rule cong :premises (@p2764 @p2763) :args (@t1106)) % 1.33/1.55 (step @p2766 :rule eq_resolve :premises (@p222 @p2765)) % 1.33/1.55 (step @p2767 :rule cong :premises (@p2766 @p2727) :args (@t3509)) % 1.33/1.55 (step @p2768 :rule eq-symm :args (@t1859 @t289)) % 1.33/1.55 (step @p2769 :rule nary_cong :premises (@p2585 @p2768) :args (@t3510)) % 1.33/1.55 (step @p2770 :rule refl :args (@t1860)) % 1.33/1.55 (step @p2771 :rule nary_cong :premises (@p2770 @p2769) :args (@t3511)) % 1.33/1.55 (step @p2772 :rule cong :premises (@p2771) :args (@t3512)) % 1.33/1.55 (step @p2773 :rule refl :args (@t2)) % 1.33/1.55 (step @p2774 :rule cong :premises (@p2773 @p2772) :args (@t3513)) % 1.33/1.55 (step @p2775 :rule cong :premises (@p2774) :args (@t3514)) % 1.33/1.55 (step @p2776 :rule refl :args (@t1861)) % 1.33/1.55 (step @p2777 :rule nary_cong :premises (@p2602 @p2776 @p2775) :args (@t3515)) % 1.33/1.55 (step @p2778 :rule aci_norm :args ((= @t3517 @t3515))) % 1.33/1.55 (step @p2779 :rule trans :premises (@p2778 @p2777)) % 1.33/1.55 (step @p2780 :rule cong :premises (@p2779) :args (@t3518)) % 1.33/1.55 (step @p2781 :rule quant-merge-prenex :args ((= (forall @t1072 @t3520) @t3518))) % 1.33/1.55 (step @p2782 :rule alpha_equiv :args (@t3521 (@list @t1859) @t3417)) % 1.33/1.55 (step @p2783 :rule nary_cong :premises (@p2450 @p2782) :args (@t3522)) % 1.33/1.55 (step @p2784 :rule quant-miniscope-or :args ((= @t3520 @t3522))) % 1.33/1.55 (step @p2785 :rule trans :premises (@p2784 @p2783)) % 1.33/1.55 (step @p2786 :rule symm :premises (@p2785)) % 1.33/1.55 (step @p2787 :rule cong :premises (@p2786) :args ((forall @t1072 (or @t1795 @t3526)))) % 1.33/1.55 (step @p2788 :rule trans :premises (@p2787 @p2781)) % 1.33/1.55 (step @p2789 :rule trans :premises (@p2788 @p2780)) % 1.33/1.55 (step @p2790 :rule refl :args (@t3526)) % 1.33/1.55 (step @p2791 :rule nary_cong :premises (@p910 @p2790) :args (@t3527)) % 1.33/1.55 (step @p2792 :rule cong :premises (@p2791) :args ((forall @t1072 @t3527))) % 1.33/1.55 (step @p2793 :rule trans :premises (@p2792 @p2789)) % 1.33/1.55 (step @p2794 :rule bool-impl-elim :args (@t7 @t3526)) % 1.33/1.55 (step @p2795 :rule cong :premises (@p2794) :args ((forall @t1072 (=> @t7 @t3526)))) % 1.33/1.55 (step @p2796 :rule trans :premises (@p2795 @p2793)) % 1.33/1.55 (step @p2797 :rule refl :args ((tptp.singleton @t3528))) % 1.33/1.55 (step @p2798 :rule refl :args (@t3524)) % 1.33/1.55 (step @p2799 :rule cong :premises (@p2798) :args (@t3525)) % 1.33/1.55 (step @p2800 :rule trans :premises (@p2799 @p2797)) % 1.33/1.55 (step @p2801 :rule refl :args (tptp.singleton)) % 1.33/1.55 (step @p2802 :rule ho_cong :premises (@p2801 @p2798)) % 1.33/1.55 (step @p2803 :rule cong :premises (@p2802 @p2800) :args ((= (_ tptp.singleton @t3524) @t3525))) % 1.33/1.55 (step @p2804 :rule symm :premises (@p2803)) % 1.33/1.55 (step @p2805 :rule refl :args (@t3529)) % 1.33/1.55 (step @p2806 :rule eq_resolve :premises (@p2805 @p2804)) % 1.33/1.55 (step @p2807 :rule refl :args (@t3528)) % 1.33/1.55 (step @p2808 :rule cong :premises (@p2807 @p2798) :args ((= @t3528 @t3524))) % 1.33/1.55 (step @p2809 :rule symm :premises (@p2808)) % 1.33/1.55 (step @p2810 :rule eq_resolve :premises (@p2807 @p2809)) % 1.33/1.55 (step @p2811 :rule ho_cong :premises (@p2801 @p2810)) % 1.33/1.55 (step @p2812 :rule trans :premises (@p2811 @p2806)) % 1.33/1.55 (step @p2813 :rule nary_cong :premises (@p2503 @p2812) :args (@t3530)) % 1.33/1.55 (step @p2814 :rule cong :premises (@p2813) :args ((forall @t70 @t3530))) % 1.33/1.55 (step @p2815 :rule bool-impl-elim :args (@t21 @t3529)) % 1.33/1.55 (step @p2816 :rule cong :premises (@p2815) :args ((forall @t70 (=> @t21 @t3529)))) % 1.33/1.55 (step @p2817 :rule trans :premises (@p2816 @p2814)) % 1.33/1.55 (step @p2818 :rule eq-symm :args (@t289 @t19)) % 1.33/1.55 (step @p2819 :rule nary_cong :premises (@p2585 @p2818) :args (@t1062)) % 1.33/1.55 (step @p2820 :rule eq-symm :args (@t289 @t4)) % 1.33/1.55 (step @p2821 :rule nary_cong :premises (@p2565 @p2820) :args (@t1063)) % 1.33/1.55 (step @p2822 :rule nary_cong :premises (@p2821 @p2819) :args (@t1064)) % 1.33/1.55 (step @p2823 :rule cong :premises (@p2822) :args (@t1066)) % 1.33/1.55 (step @p2824 :rule refl :args (@t155)) % 1.33/1.55 (step @p2825 :rule ho_cong :premises (@p2824 @p2823)) % 1.33/1.55 (step @p2826 :rule refl :args (tptp.singleton)) % 1.33/1.55 (step @p2827 :rule ho_cong :premises (@p2826 @p2825)) % 1.33/1.55 (step @p2828 :rule cong :premises (@p2587 @p2827) :args (@t1095)) % 1.33/1.55 (step @p2829 :rule cong :premises (@p2828) :args (@t1096)) % 1.33/1.55 (step @p2830 :rule trans :premises (@p2829 @p2817)) % 1.33/1.55 (step @p2831 :rule cong :premises (@p2509 @p2830) :args (@t1097)) % 1.33/1.55 (step @p2832 :rule cong :premises (@p2831) :args (@t1098)) % 1.33/1.55 (step @p2833 :rule trans :premises (@p2832 @p2796)) % 1.33/1.55 (step @p2834 :rule refl :args (tptp.ifSingleton)) % 1.33/1.55 (step @p2835 :rule cong :premises (@p2834 @p2833) :args (@t1099)) % 1.33/1.55 (step @p2836 :rule eq_resolve :premises (@p221 @p2835)) % 1.33/1.55 (step @p2837 :rule cong :premises (@p2836 @p2767) :args (@t3531)) % 1.33/1.55 (step @p2838 :rule aci_norm :args ((= (or @t1795 false @t1867 @t1865) @t1868))) % 1.33/1.55 (step @p2839 :rule aci_norm :args ((= (or @t744 false) @t744))) % 1.33/1.55 (step @p2840 :rule absorb :args ((= (and false @t3532) false))) % 1.33/1.55 (step @p2841 :rule refl :args (@t3532)) % 1.33/1.55 (step @p2842 :rule nary_cong :premises (@p2601 @p2841) :args (@t3533)) % 1.33/1.55 (step @p2843 :rule trans :premises (@p2842 @p2840)) % 1.33/1.55 (step @p2844 :rule aci_norm :args ((= @t3534 @t744))) % 1.33/1.55 (step @p2845 :rule nary_cong :premises (@p2844 @p2843) :args (@t3535)) % 1.33/1.55 (step @p2846 :rule trans :premises (@p2845 @p2839)) % 1.33/1.55 (step @p2847 :rule cong :premises (@p2846) :args (@t3536)) % 1.33/1.55 (step @p2848 :rule cong :premises (@p2773 @p2847) :args (@t3537)) % 1.33/1.55 (step @p2849 :rule refl :args (@t1864)) % 1.33/1.55 (step @p2850 :rule cong :premises (@p2849 @p2848) :args (@t3538)) % 1.33/1.55 (step @p2851 :rule refl :args (@t1867)) % 1.33/1.55 (step @p2852 :rule nary_cong :premises (@p2602 @p2601 @p2851 @p2850) :args (@t3539)) % 1.33/1.55 (step @p2853 :rule trans :premises (@p2852 @p2838)) % 1.33/1.55 (step @p2854 :rule cong :premises (@p2853) :args ((forall @t1869 @t3539))) % 1.33/1.55 (step @p2855 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3458 @t1795 @t1061 @t1867 @t3540)) @t3539))) % 1.33/1.55 (step @p2856 :rule refl :args (@t3540)) % 1.33/1.55 (step @p2857 :rule refl :args (@t1867)) % 1.33/1.55 (step @p2858 :rule nary_cong :premises (@p2612 @p2450 @p2609 @p2857 @p2856) :args (@t3541)) % 1.33/1.55 (step @p2859 :rule aci_norm :args ((= @t3542 @t3541))) % 1.33/1.55 (step @p2860 :rule trans :premises (@p2859 @p2858)) % 1.33/1.55 (step @p2861 :rule cong :premises (@p2860) :args (@t3543)) % 1.33/1.55 (step @p2862 :rule trans :premises (@p2861 @p2855)) % 1.33/1.55 (step @p2863 :rule cong :premises (@p2862) :args (@t3544)) % 1.33/1.55 (step @p2864 :rule quant-merge-prenex :args ((= @t3544 @t3545))) % 1.33/1.55 (step @p2865 :rule symm :premises (@p2864)) % 1.33/1.55 (step @p2866 :rule quant_var_reordering :args ((= (forall @t3546 @t3542) @t3545))) % 1.33/1.55 (step @p2867 :rule trans :premises (@p2866 @p2865 @p2863)) % 1.33/1.55 (step @p2868 :rule trans :premises (@p2867 @p2854)) % 1.33/1.55 (step @p2869 :rule eq-symm :args (@t1866 @t289)) % 1.33/1.55 (step @p2870 :rule nary_cong :premises (@p2585 @p2869) :args (@t3547)) % 1.33/1.55 (step @p2871 :rule nary_cong :premises (@p2770 @p2870) :args (@t3548)) % 1.33/1.55 (step @p2872 :rule cong :premises (@p2871) :args (@t3549)) % 1.33/1.55 (step @p2873 :rule cong :premises (@p2773 @p2872) :args (@t3550)) % 1.33/1.55 (step @p2874 :rule cong :premises (@p2849 @p2873) :args (@t3551)) % 1.33/1.55 (step @p2875 :rule nary_cong :premises (@p2602 @p2585 @p2851 @p2874) :args (@t3552)) % 1.33/1.55 (step @p2876 :rule aci_norm :args ((= @t3554 @t3552))) % 1.33/1.55 (step @p2877 :rule trans :premises (@p2876 @p2875)) % 1.33/1.55 (step @p2878 :rule cong :premises (@p2877) :args (@t3555)) % 1.33/1.55 (step @p2879 :rule trans :premises (@p2878 @p2868)) % 1.33/1.55 (step @p2880 :rule quant-merge-prenex :args ((= (forall @t1072 @t3557) @t3555))) % 1.33/1.55 (step @p2881 :rule alpha_equiv :args (@t3558 (@list @t1866) @t3417)) % 1.33/1.55 (step @p2882 :rule nary_cong :premises (@p2450 @p2609 @p2881) :args (@t3559)) % 1.33/1.55 (step @p2883 :rule quant-miniscope-or :args ((= @t3557 @t3559))) % 1.33/1.55 (step @p2884 :rule trans :premises (@p2883 @p2882)) % 1.33/1.55 (step @p2885 :rule symm :premises (@p2884)) % 1.33/1.55 (step @p2886 :rule cong :premises (@p2885) :args ((forall @t1072 (or @t1795 @t1061 @t3560)))) % 1.33/1.55 (step @p2887 :rule trans :premises (@p2886 @p2880)) % 1.33/1.55 (step @p2888 :rule trans :premises (@p2887 @p2879)) % 1.33/1.55 (step @p2889 :rule refl :args (@t3560)) % 1.33/1.55 (step @p2890 :rule nary_cong :premises (@p910 @p2609 @p2889) :args (@t3561)) % 1.33/1.55 (step @p2891 :rule cong :premises (@p2890) :args ((forall @t1072 @t3561))) % 1.33/1.55 (step @p2892 :rule trans :premises (@p2891 @p2888)) % 1.33/1.55 (step @p2893 :rule aci_norm :args ((= (or @t197 @t3562) @t3561))) % 1.33/1.55 (step @p2894 :rule bool-impl-elim :args (@t7 @t3562)) % 1.33/1.55 (step @p2895 :rule trans :premises (@p2894 @p2893)) % 1.33/1.55 (step @p2896 :rule cong :premises (@p2895) :args ((forall @t1072 (=> @t7 @t3562)))) % 1.33/1.55 (step @p2897 :rule trans :premises (@p2896 @p2892)) % 1.33/1.55 (step @p2898 :rule refl :args (@t1864)) % 1.33/1.55 (step @p2899 :rule refl :args (@t279)) % 1.33/1.55 (step @p2900 :rule cong :premises (@p2899 @p2898) :args ((= @t279 @t1864))) % 1.33/1.55 (step @p2901 :rule symm :premises (@p2900)) % 1.33/1.55 (step @p2902 :rule eq_resolve :premises (@p2899 @p2901)) % 1.33/1.55 (step @p2903 :rule cong :premises (@p2902 @p2810) :args (@t3563)) % 1.33/1.55 (step @p2904 :rule nary_cong :premises (@p2503 @p2903) :args (@t3564)) % 1.33/1.55 (step @p2905 :rule cong :premises (@p2904) :args (@t3565)) % 1.33/1.55 (step @p2906 :rule nary_cong :premises (@p2585 @p2905) :args (@t3566)) % 1.33/1.55 (step @p2907 :rule quant-miniscope-or :args ((= (forall @t70 @t3567) @t3566))) % 1.33/1.55 (step @p2908 :rule aci_norm :args ((= @t3568 @t3567))) % 1.33/1.55 (step @p2909 :rule cong :premises (@p2908) :args ((forall @t70 @t3568))) % 1.33/1.55 (step @p2910 :rule trans :premises (@p2909 @p2907)) % 1.33/1.55 (step @p2911 :rule trans :premises (@p2910 @p2906)) % 1.33/1.55 (step @p2912 :rule aci_norm :args ((= (or @t3424 (or @t1061 @t3563)) @t3568))) % 1.33/1.55 (step @p2913 :rule bool-impl-elim :args (@t173 @t3563)) % 1.33/1.55 (step @p2914 :rule nary_cong :premises (@p2577 @p2913) :args ((or @t3424 @t3569))) % 1.33/1.55 (step @p2915 :rule trans :premises (@p2914 @p2912)) % 1.33/1.55 (step @p2916 :rule bool-impl-elim :args (@t21 @t3569)) % 1.33/1.55 (step @p2917 :rule trans :premises (@p2916 @p2915)) % 1.33/1.55 (step @p2918 :rule cong :premises (@p2917) :args ((forall @t70 (=> @t21 @t3569)))) % 1.33/1.55 (step @p2919 :rule trans :premises (@p2918 @p2911)) % 1.33/1.55 (step @p2920 :rule eq-symm :args (@t3528 @t279)) % 1.33/1.55 (step @p2921 :rule refl :args (@t279)) % 1.33/1.55 (step @p2922 :rule cong :premises (@p2825 @p2921) :args (@t1088)) % 1.33/1.55 (step @p2923 :rule trans :premises (@p2922 @p2920)) % 1.33/1.55 (step @p2924 :rule cong :premises (@p2565 @p2923) :args (@t1089)) % 1.33/1.55 (step @p2925 :rule cong :premises (@p2587 @p2924) :args (@t1090)) % 1.33/1.55 (step @p2926 :rule cong :premises (@p2925) :args (@t1091)) % 1.33/1.55 (step @p2927 :rule trans :premises (@p2926 @p2919)) % 1.33/1.55 (step @p2928 :rule cong :premises (@p2509 @p2927) :args (@t1092)) % 1.33/1.55 (step @p2929 :rule cong :premises (@p2928) :args (@t1093)) % 1.33/1.55 (step @p2930 :rule trans :premises (@p2929 @p2897)) % 1.33/1.55 (step @p2931 :rule refl :args (tptp.iftrueProp2)) % 1.33/1.55 (step @p2932 :rule cong :premises (@p2931 @p2930) :args (@t1094)) % 1.33/1.55 (step @p2933 :rule eq_resolve :premises (@p220 @p2932)) % 1.33/1.55 (step @p2934 :rule cong :premises (@p2933 @p2837) :args (@t3570)) % 1.33/1.55 (step @p2935 :rule aci_norm :args ((= (or @t1795 false @t1872 @t1870) @t1873))) % 1.33/1.55 (step @p2936 :rule absorb :args ((= (and false @t3571) false))) % 1.33/1.55 (step @p2937 :rule refl :args (@t3571)) % 1.33/1.55 (step @p2938 :rule nary_cong :premises (@p2601 @p2937) :args (@t3572)) % 1.33/1.55 (step @p2939 :rule trans :premises (@p2938 @p2936)) % 1.33/1.55 (step @p2940 :rule nary_cong :premises (@p2844 @p2939) :args (@t3573)) % 1.33/1.55 (step @p2941 :rule trans :premises (@p2940 @p2839)) % 1.33/1.55 (step @p2942 :rule cong :premises (@p2941) :args (@t3574)) % 1.33/1.55 (step @p2943 :rule cong :premises (@p2773 @p2942) :args (@t3575)) % 1.33/1.55 (step @p2944 :rule refl :args (@t4)) % 1.33/1.55 (step @p2945 :rule cong :premises (@p2944 @p2943) :args (@t3576)) % 1.33/1.55 (step @p2946 :rule refl :args (@t1872)) % 1.33/1.55 (step @p2947 :rule nary_cong :premises (@p2602 @p2601 @p2946 @p2945) :args (@t3577)) % 1.33/1.55 (step @p2948 :rule trans :premises (@p2947 @p2935)) % 1.33/1.55 (step @p2949 :rule cong :premises (@p2948) :args ((forall @t1874 @t3577))) % 1.33/1.55 (step @p2950 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3458 @t1795 @t1061 @t1872 @t3578)) @t3577))) % 1.33/1.55 (step @p2951 :rule refl :args (@t3578)) % 1.33/1.55 (step @p2952 :rule refl :args (@t1872)) % 1.33/1.55 (step @p2953 :rule nary_cong :premises (@p2612 @p2450 @p2609 @p2952 @p2951) :args (@t3579)) % 1.33/1.55 (step @p2954 :rule aci_norm :args ((= @t3580 @t3579))) % 1.33/1.55 (step @p2955 :rule trans :premises (@p2954 @p2953)) % 1.33/1.55 (step @p2956 :rule cong :premises (@p2955) :args (@t3581)) % 1.33/1.55 (step @p2957 :rule trans :premises (@p2956 @p2950)) % 1.33/1.55 (step @p2958 :rule cong :premises (@p2957) :args (@t3582)) % 1.33/1.55 (step @p2959 :rule quant-merge-prenex :args ((= @t3582 @t3583))) % 1.33/1.55 (step @p2960 :rule symm :premises (@p2959)) % 1.33/1.55 (step @p2961 :rule quant_var_reordering :args ((= (forall @t3584 @t3580) @t3583))) % 1.33/1.55 (step @p2962 :rule trans :premises (@p2961 @p2960 @p2958)) % 1.33/1.55 (step @p2963 :rule trans :premises (@p2962 @p2949)) % 1.33/1.55 (step @p2964 :rule eq-symm :args (@t1871 @t289)) % 1.33/1.55 (step @p2965 :rule nary_cong :premises (@p2585 @p2964) :args (@t3585)) % 1.33/1.55 (step @p2966 :rule nary_cong :premises (@p2770 @p2965) :args (@t3586)) % 1.33/1.55 (step @p2967 :rule cong :premises (@p2966) :args (@t3587)) % 1.33/1.55 (step @p2968 :rule cong :premises (@p2773 @p2967) :args (@t3588)) % 1.33/1.55 (step @p2969 :rule cong :premises (@p2944 @p2968) :args (@t3589)) % 1.33/1.55 (step @p2970 :rule nary_cong :premises (@p2602 @p2585 @p2946 @p2969) :args (@t3590)) % 1.33/1.55 (step @p2971 :rule aci_norm :args ((= @t3592 @t3590))) % 1.33/1.55 (step @p2972 :rule trans :premises (@p2971 @p2970)) % 1.33/1.55 (step @p2973 :rule cong :premises (@p2972) :args (@t3593)) % 1.33/1.55 (step @p2974 :rule trans :premises (@p2973 @p2963)) % 1.33/1.55 (step @p2975 :rule quant-merge-prenex :args ((= (forall @t1072 @t3595) @t3593))) % 1.33/1.55 (step @p2976 :rule alpha_equiv :args (@t3596 (@list @t1871) @t3417)) % 1.33/1.55 (step @p2977 :rule nary_cong :premises (@p2450 @p2609 @p2976) :args (@t3597)) % 1.33/1.55 (step @p2978 :rule quant-miniscope-or :args ((= @t3595 @t3597))) % 1.33/1.55 (step @p2979 :rule trans :premises (@p2978 @p2977)) % 1.33/1.55 (step @p2980 :rule symm :premises (@p2979)) % 1.33/1.55 (step @p2981 :rule cong :premises (@p2980) :args ((forall @t1072 (or @t1795 @t1061 @t3599)))) % 1.33/1.55 (step @p2982 :rule trans :premises (@p2981 @p2975)) % 1.33/1.55 (step @p2983 :rule trans :premises (@p2982 @p2974)) % 1.33/1.55 (step @p2984 :rule refl :args (@t3599)) % 1.33/1.55 (step @p2985 :rule nary_cong :premises (@p910 @p2609 @p2984) :args (@t3600)) % 1.33/1.55 (step @p2986 :rule cong :premises (@p2985) :args ((forall @t1072 @t3600))) % 1.33/1.55 (step @p2987 :rule trans :premises (@p2986 @p2983)) % 1.33/1.55 (step @p2988 :rule aci_norm :args ((= (or @t197 @t3601) @t3600))) % 1.33/1.55 (step @p2989 :rule bool-impl-elim :args (@t7 @t3601)) % 1.33/1.55 (step @p2990 :rule trans :premises (@p2989 @p2988)) % 1.33/1.55 (step @p2991 :rule cong :premises (@p2990) :args ((forall @t1072 (=> @t7 @t3601)))) % 1.33/1.55 (step @p2992 :rule trans :premises (@p2991 @p2987)) % 1.33/1.55 (step @p2993 :rule refl :args ((tptp.in @t4 @t3528))) % 1.33/1.55 (step @p2994 :rule cong :premises (@p874 @p2798) :args (@t3598)) % 1.33/1.55 (step @p2995 :rule trans :premises (@p2994 @p2993)) % 1.33/1.55 (step @p2996 :rule ho_cong :premises (@p877 @p2798)) % 1.33/1.55 (step @p2997 :rule cong :premises (@p2996 @p2995) :args ((= (_ @t5 @t3524) @t3598))) % 1.33/1.55 (step @p2998 :rule symm :premises (@p2997)) % 1.33/1.55 (step @p2999 :rule refl :args (@t3602)) % 1.33/1.55 (step @p3000 :rule eq_resolve :premises (@p2999 @p2998)) % 1.33/1.55 (step @p3001 :rule ho_cong :premises (@p877 @p2810)) % 1.33/1.55 (step @p3002 :rule trans :premises (@p3001 @p3000)) % 1.33/1.55 (step @p3003 :rule nary_cong :premises (@p2503 @p3002) :args (@t3603)) % 1.33/1.55 (step @p3004 :rule cong :premises (@p3003) :args (@t3604)) % 1.33/1.55 (step @p3005 :rule nary_cong :premises (@p2585 @p3004) :args (@t3605)) % 1.33/1.55 (step @p3006 :rule quant-miniscope-or :args ((= (forall @t70 @t3606) @t3605))) % 1.33/1.55 (step @p3007 :rule aci_norm :args ((= @t3607 @t3606))) % 1.33/1.55 (step @p3008 :rule cong :premises (@p3007) :args ((forall @t70 @t3607))) % 1.33/1.55 (step @p3009 :rule trans :premises (@p3008 @p3006)) % 1.33/1.55 (step @p3010 :rule trans :premises (@p3009 @p3005)) % 1.33/1.55 (step @p3011 :rule aci_norm :args ((= (or @t3424 (or @t1061 @t3602)) @t3607))) % 1.33/1.55 (step @p3012 :rule bool-impl-elim :args (@t173 @t3602)) % 1.33/1.55 (step @p3013 :rule nary_cong :premises (@p2577 @p3012) :args ((or @t3424 @t3608))) % 1.33/1.55 (step @p3014 :rule trans :premises (@p3013 @p3011)) % 1.33/1.55 (step @p3015 :rule bool-impl-elim :args (@t21 @t3608)) % 1.33/1.55 (step @p3016 :rule trans :premises (@p3015 @p3014)) % 1.33/1.55 (step @p3017 :rule cong :premises (@p3016) :args ((forall @t70 (=> @t21 @t3608)))) % 1.33/1.55 (step @p3018 :rule trans :premises (@p3017 @p3010)) % 1.33/1.55 (step @p3019 :rule refl :args (@t5)) % 1.33/1.55 (step @p3020 :rule ho_cong :premises (@p3019 @p2825)) % 1.33/1.55 (step @p3021 :rule cong :premises (@p2565 @p3020) :args (@t1082)) % 1.33/1.55 (step @p3022 :rule cong :premises (@p2587 @p3021) :args (@t1083)) % 1.33/1.55 (step @p3023 :rule cong :premises (@p3022) :args (@t1084)) % 1.33/1.55 (step @p3024 :rule trans :premises (@p3023 @p3018)) % 1.33/1.55 (step @p3025 :rule cong :premises (@p2509 @p3024) :args (@t1085)) % 1.33/1.55 (step @p3026 :rule cong :premises (@p3025) :args (@t1086)) % 1.33/1.55 (step @p3027 :rule trans :premises (@p3026 @p2992)) % 1.33/1.55 (step @p3028 :rule refl :args (tptp.iftrueProp1)) % 1.33/1.55 (step @p3029 :rule cong :premises (@p3028 @p3027) :args (@t1087)) % 1.33/1.55 (step @p3030 :rule eq_resolve :premises (@p219 @p3029)) % 1.33/1.55 (step @p3031 :rule cong :premises (@p3030 @p2934) :args (@t3609)) % 1.33/1.55 (step @p3032 :rule aci_norm :args ((= (or false @t1876) @t1876))) % 1.33/1.55 (step @p3033 :rule aci_norm :args ((= (and true @t1876) @t1876))) % 1.33/1.55 (step @p3034 :rule refl :args (@t1876)) % 1.33/1.55 (step @p3035 :rule evaluate :args (@t3610)) % 1.33/1.55 (step @p3036 :rule nary_cong :premises (@p3035 @p3034) :args (@t3611)) % 1.33/1.55 (step @p3037 :rule trans :premises (@p3036 @p3033)) % 1.33/1.55 (step @p3038 :rule absorb :args ((= @t3612 false))) % 1.33/1.55 (step @p3039 :rule nary_cong :premises (@p3038 @p3037) :args (@t3613)) % 1.33/1.55 (step @p3040 :rule trans :premises (@p3039 @p3032)) % 1.33/1.55 (step @p3041 :rule cong :premises (@p3040) :args (@t3614)) % 1.33/1.55 (step @p3042 :rule cong :premises (@p2773 @p3041) :args (@t3615)) % 1.33/1.55 (step @p3043 :rule refl :args (@t1877)) % 1.33/1.55 (step @p3044 :rule cong :premises (@p3043 @p3042) :args (@t3616)) % 1.33/1.55 (step @p3045 :rule refl :args (@t1878)) % 1.33/1.55 (step @p3046 :rule nary_cong :premises (@p2602 @p3045 @p3044) :args (@t3617)) % 1.33/1.55 (step @p3047 :rule aci_norm :args ((= @t3618 @t3617))) % 1.33/1.55 (step @p3048 :rule trans :premises (@p3047 @p3046)) % 1.33/1.55 (step @p3049 :rule cong :premises (@p3048) :args ((forall @t1879 @t3618))) % 1.33/1.55 (step @p3050 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3429 @t1795 @t173 @t1878 @t3619)) @t3618))) % 1.33/1.55 (step @p3051 :rule refl :args (@t3619)) % 1.33/1.55 (step @p3052 :rule refl :args (@t1878)) % 1.33/1.55 (step @p3053 :rule nary_cong :premises (@p2528 @p2450 @p2522 @p3052 @p3051) :args (@t3620)) % 1.33/1.55 (step @p3054 :rule aci_norm :args ((= @t3621 @t3620))) % 1.33/1.55 (step @p3055 :rule trans :premises (@p3054 @p3053)) % 1.33/1.55 (step @p3056 :rule cong :premises (@p3055) :args (@t3622)) % 1.33/1.55 (step @p3057 :rule trans :premises (@p3056 @p3050)) % 1.33/1.55 (step @p3058 :rule cong :premises (@p3057) :args (@t3623)) % 1.33/1.55 (step @p3059 :rule quant-merge-prenex :args ((= @t3623 @t3624))) % 1.33/1.55 (step @p3060 :rule symm :premises (@p3059)) % 1.33/1.55 (step @p3061 :rule quant_var_reordering :args ((= (forall @t3625 @t3621) @t3624))) % 1.33/1.55 (step @p3062 :rule trans :premises (@p3061 @p3060 @p3058)) % 1.33/1.55 (step @p3063 :rule trans :premises (@p3062 @p3049)) % 1.33/1.55 (step @p3064 :rule eq-symm :args (@t1875 @t289)) % 1.33/1.55 (step @p3065 :rule nary_cong :premises (@p2585 @p3064) :args (@t3626)) % 1.33/1.55 (step @p3066 :rule nary_cong :premises (@p2770 @p3065) :args (@t3627)) % 1.33/1.55 (step @p3067 :rule cong :premises (@p3066) :args (@t3628)) % 1.33/1.55 (step @p3068 :rule cong :premises (@p2773 @p3067) :args (@t3629)) % 1.33/1.55 (step @p3069 :rule cong :premises (@p3043 @p3068) :args (@t3630)) % 1.33/1.55 (step @p3070 :rule nary_cong :premises (@p2602 @p2565 @p3045 @p3069) :args (@t3631)) % 1.33/1.55 (step @p3071 :rule aci_norm :args ((= @t3633 @t3631))) % 1.33/1.55 (step @p3072 :rule trans :premises (@p3071 @p3070)) % 1.33/1.55 (step @p3073 :rule cong :premises (@p3072) :args (@t3634)) % 1.33/1.55 (step @p3074 :rule trans :premises (@p3073 @p3063)) % 1.33/1.55 (step @p3075 :rule quant-merge-prenex :args ((= (forall @t1072 @t3636) @t3634))) % 1.33/1.55 (step @p3076 :rule alpha_equiv :args (@t3637 (@list @t1875) @t3417)) % 1.33/1.55 (step @p3077 :rule nary_cong :premises (@p2450 @p2522 @p3076) :args (@t3638)) % 1.33/1.55 (step @p3078 :rule quant-miniscope-or :args ((= @t3636 @t3638))) % 1.33/1.55 (step @p3079 :rule trans :premises (@p3078 @p3077)) % 1.33/1.55 (step @p3080 :rule symm :premises (@p3079)) % 1.33/1.55 (step @p3081 :rule cong :premises (@p3080) :args ((forall @t1072 (or @t1795 @t173 @t3639)))) % 1.33/1.55 (step @p3082 :rule trans :premises (@p3081 @p3075)) % 1.33/1.55 (step @p3083 :rule trans :premises (@p3082 @p3074)) % 1.33/1.55 (step @p3084 :rule refl :args (@t3639)) % 1.33/1.55 (step @p3085 :rule nary_cong :premises (@p910 @p2522 @p3084) :args (@t3640)) % 1.33/1.55 (step @p3086 :rule cong :premises (@p3085) :args ((forall @t1072 @t3640))) % 1.33/1.55 (step @p3087 :rule trans :premises (@p3086 @p3083)) % 1.33/1.55 (step @p3088 :rule aci_norm :args ((= (or @t197 @t3641) @t3640))) % 1.33/1.55 (step @p3089 :rule bool-impl-elim :args (@t7 @t3641)) % 1.33/1.55 (step @p3090 :rule trans :premises (@p3089 @p3088)) % 1.33/1.55 (step @p3091 :rule cong :premises (@p3090) :args ((forall @t1072 (=> @t7 @t3641)))) % 1.33/1.55 (step @p3092 :rule trans :premises (@p3091 @p3087)) % 1.33/1.55 (step @p3093 :rule cong :premises (@p2488 @p2810) :args (@t3642)) % 1.33/1.55 (step @p3094 :rule nary_cong :premises (@p2503 @p3093) :args (@t3643)) % 1.33/1.55 (step @p3095 :rule cong :premises (@p3094) :args (@t3644)) % 1.33/1.55 (step @p3096 :rule nary_cong :premises (@p2565 @p3095) :args (@t3645)) % 1.33/1.55 (step @p3097 :rule quant-miniscope-or :args ((= (forall @t70 @t3646) @t3645))) % 1.33/1.55 (step @p3098 :rule aci_norm :args ((= @t3647 @t3646))) % 1.33/1.55 (step @p3099 :rule cong :premises (@p3098) :args ((forall @t70 @t3647))) % 1.33/1.55 (step @p3100 :rule trans :premises (@p3099 @p3097)) % 1.33/1.55 (step @p3101 :rule trans :premises (@p3100 @p3096)) % 1.33/1.55 (step @p3102 :rule aci_norm :args ((= (or @t3424 (or @t173 @t3642)) @t3647))) % 1.33/1.55 (step @p3103 :rule refl :args (@t3642)) % 1.33/1.55 (step @p3104 :rule nary_cong :premises (@p2526 @p3103) :args ((or @t3430 @t3642))) % 1.33/1.55 (step @p3105 :rule bool-impl-elim :args (@t1061 @t3642)) % 1.33/1.55 (step @p3106 :rule trans :premises (@p3105 @p3104)) % 1.33/1.55 (step @p3107 :rule nary_cong :premises (@p2577 @p3106) :args ((or @t3424 @t3648))) % 1.33/1.55 (step @p3108 :rule trans :premises (@p3107 @p3102)) % 1.33/1.55 (step @p3109 :rule bool-impl-elim :args (@t21 @t3648)) % 1.33/1.55 (step @p3110 :rule trans :premises (@p3109 @p3108)) % 1.33/1.55 (step @p3111 :rule cong :premises (@p3110) :args ((forall @t70 (=> @t21 @t3648)))) % 1.33/1.55 (step @p3112 :rule trans :premises (@p3111 @p3101)) % 1.33/1.55 (step @p3113 :rule eq-symm :args (@t3528 @t275)) % 1.33/1.55 (step @p3114 :rule refl :args (@t275)) % 1.33/1.55 (step @p3115 :rule cong :premises (@p2825 @p3114) :args (@t1075)) % 1.33/1.55 (step @p3116 :rule trans :premises (@p3115 @p3113)) % 1.33/1.55 (step @p3117 :rule cong :premises (@p2585 @p3116) :args (@t1076)) % 1.33/1.55 (step @p3118 :rule cong :premises (@p2587 @p3117) :args (@t1077)) % 1.33/1.55 (step @p3119 :rule cong :premises (@p3118) :args (@t1078)) % 1.33/1.55 (step @p3120 :rule trans :premises (@p3119 @p3112)) % 1.33/1.55 (step @p3121 :rule cong :premises (@p2509 @p3120) :args (@t1079)) % 1.33/1.55 (step @p3122 :rule cong :premises (@p3121) :args (@t1080)) % 1.33/1.55 (step @p3123 :rule trans :premises (@p3122 @p3092)) % 1.33/1.55 (step @p3124 :rule refl :args (tptp.iffalseProp2)) % 1.33/1.55 (step @p3125 :rule cong :premises (@p3124 @p3123) :args (@t1081)) % 1.33/1.55 (step @p3126 :rule eq_resolve :premises (@p218 @p3125)) % 1.33/1.55 (step @p3127 :rule cong :premises (@p3126 @p3031) :args (@t3649)) % 1.33/1.55 (step @p3128 :rule aci_norm :args ((= (or false @t1881) @t1881))) % 1.33/1.55 (step @p3129 :rule aci_norm :args ((= (and true @t1881) @t1881))) % 1.33/1.55 (step @p3130 :rule refl :args (@t1881)) % 1.33/1.55 (step @p3131 :rule nary_cong :premises (@p3035 @p3130) :args (@t3650)) % 1.33/1.55 (step @p3132 :rule trans :premises (@p3131 @p3129)) % 1.33/1.55 (step @p3133 :rule nary_cong :premises (@p3038 @p3132) :args (@t3651)) % 1.33/1.55 (step @p3134 :rule trans :premises (@p3133 @p3128)) % 1.33/1.55 (step @p3135 :rule cong :premises (@p3134) :args (@t3652)) % 1.33/1.55 (step @p3136 :rule cong :premises (@p2773 @p3135) :args (@t3653)) % 1.33/1.55 (step @p3137 :rule refl :args (@t1880)) % 1.33/1.55 (step @p3138 :rule cong :premises (@p3137 @p3136) :args (@t3654)) % 1.33/1.55 (step @p3139 :rule refl :args (@t1882)) % 1.33/1.55 (step @p3140 :rule nary_cong :premises (@p2602 @p3139 @p3138) :args (@t3655)) % 1.33/1.55 (step @p3141 :rule aci_norm :args ((= @t3656 @t3655))) % 1.33/1.55 (step @p3142 :rule trans :premises (@p3141 @p3140)) % 1.33/1.55 (step @p3143 :rule cong :premises (@p3142) :args ((forall @t1883 @t3656))) % 1.33/1.55 (step @p3144 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3429 @t1795 @t173 @t1882 @t3657)) @t3656))) % 1.33/1.55 (step @p3145 :rule refl :args (@t3657)) % 1.33/1.55 (step @p3146 :rule refl :args (@t1882)) % 1.33/1.55 (step @p3147 :rule nary_cong :premises (@p2528 @p2450 @p2522 @p3146 @p3145) :args (@t3658)) % 1.33/1.55 (step @p3148 :rule aci_norm :args ((= @t3659 @t3658))) % 1.33/1.55 (step @p3149 :rule trans :premises (@p3148 @p3147)) % 1.33/1.55 (step @p3150 :rule cong :premises (@p3149) :args (@t3660)) % 1.33/1.55 (step @p3151 :rule trans :premises (@p3150 @p3144)) % 1.33/1.55 (step @p3152 :rule cong :premises (@p3151) :args (@t3661)) % 1.33/1.55 (step @p3153 :rule quant-merge-prenex :args ((= @t3661 @t3662))) % 1.33/1.55 (step @p3154 :rule symm :premises (@p3153)) % 1.33/1.55 (step @p3155 :rule quant_var_reordering :args ((= (forall @t3663 @t3659) @t3662))) % 1.33/1.55 (step @p3156 :rule trans :premises (@p3155 @p3154 @p3152)) % 1.33/1.55 (step @p3157 :rule trans :premises (@p3156 @p3143)) % 1.33/1.55 (step @p3158 :rule eq-symm :args (@t1880 @t289)) % 1.33/1.55 (step @p3159 :rule nary_cong :premises (@p2585 @p3158) :args (@t3664)) % 1.33/1.55 (step @p3160 :rule nary_cong :premises (@p2770 @p3159) :args (@t3665)) % 1.33/1.55 (step @p3161 :rule cong :premises (@p3160) :args (@t3666)) % 1.33/1.55 (step @p3162 :rule cong :premises (@p2773 @p3161) :args (@t3667)) % 1.33/1.55 (step @p3163 :rule cong :premises (@p3137 @p3162) :args (@t3668)) % 1.33/1.55 (step @p3164 :rule nary_cong :premises (@p2602 @p2565 @p3139 @p3163) :args (@t3669)) % 1.33/1.55 (step @p3165 :rule aci_norm :args ((= @t3671 @t3669))) % 1.33/1.55 (step @p3166 :rule trans :premises (@p3165 @p3164)) % 1.33/1.55 (step @p3167 :rule cong :premises (@p3166) :args (@t3672)) % 1.33/1.55 (step @p3168 :rule trans :premises (@p3167 @p3157)) % 1.33/1.55 (step @p3169 :rule quant-merge-prenex :args ((= (forall @t1072 @t3674) @t3672))) % 1.33/1.55 (step @p3170 :rule alpha_equiv :args (@t3675 (@list @t1880) @t3417)) % 1.33/1.55 (step @p3171 :rule nary_cong :premises (@p2450 @p2522 @p3170) :args (@t3676)) % 1.33/1.55 (step @p3172 :rule quant-miniscope-or :args ((= @t3674 @t3676))) % 1.33/1.55 (step @p3173 :rule trans :premises (@p3172 @p3171)) % 1.33/1.55 (step @p3174 :rule symm :premises (@p3173)) % 1.33/1.55 (step @p3175 :rule cong :premises (@p3174) :args ((forall @t1072 (or @t1795 @t173 @t3678)))) % 1.33/1.55 (step @p3176 :rule trans :premises (@p3175 @p3169)) % 1.33/1.55 (step @p3177 :rule trans :premises (@p3176 @p3168)) % 1.33/1.55 (step @p3178 :rule refl :args (@t3678)) % 1.33/1.55 (step @p3179 :rule nary_cong :premises (@p910 @p2522 @p3178) :args (@t3679)) % 1.33/1.55 (step @p3180 :rule cong :premises (@p3179) :args ((forall @t1072 @t3679))) % 1.33/1.55 (step @p3181 :rule trans :premises (@p3180 @p3177)) % 1.33/1.55 (step @p3182 :rule aci_norm :args ((= (or @t197 @t3680) @t3679))) % 1.33/1.55 (step @p3183 :rule bool-impl-elim :args (@t7 @t3680)) % 1.33/1.55 (step @p3184 :rule trans :premises (@p3183 @p3182)) % 1.33/1.55 (step @p3185 :rule cong :premises (@p3184) :args ((forall @t1072 (=> @t7 @t3680)))) % 1.33/1.55 (step @p3186 :rule trans :premises (@p3185 @p3181)) % 1.33/1.55 (step @p3187 :rule refl :args ((tptp.in @t19 @t3528))) % 1.33/1.55 (step @p3188 :rule cong :premises (@p2561 @p2798) :args (@t3677)) % 1.33/1.55 (step @p3189 :rule trans :premises (@p3188 @p3187)) % 1.33/1.55 (step @p3190 :rule refl :args (@t20)) % 1.33/1.55 (step @p3191 :rule ho_cong :premises (@p3190 @p2798)) % 1.33/1.55 (step @p3192 :rule cong :premises (@p3191 @p3189) :args ((= (_ @t20 @t3524) @t3677))) % 1.33/1.55 (step @p3193 :rule symm :premises (@p3192)) % 1.33/1.55 (step @p3194 :rule refl :args (@t3681)) % 1.33/1.55 (step @p3195 :rule eq_resolve :premises (@p3194 @p3193)) % 1.33/1.55 (step @p3196 :rule ho_cong :premises (@p3190 @p2810)) % 1.33/1.55 (step @p3197 :rule trans :premises (@p3196 @p3195)) % 1.33/1.55 (step @p3198 :rule nary_cong :premises (@p2503 @p3197) :args (@t3682)) % 1.33/1.55 (step @p3199 :rule cong :premises (@p3198) :args (@t3683)) % 1.33/1.55 (step @p3200 :rule nary_cong :premises (@p2565 @p3199) :args (@t3684)) % 1.33/1.55 (step @p3201 :rule quant-miniscope-or :args ((= (forall @t70 @t3685) @t3684))) % 1.33/1.55 (step @p3202 :rule aci_norm :args ((= @t3686 @t3685))) % 1.33/1.55 (step @p3203 :rule cong :premises (@p3202) :args ((forall @t70 @t3686))) % 1.33/1.55 (step @p3204 :rule trans :premises (@p3203 @p3201)) % 1.33/1.55 (step @p3205 :rule trans :premises (@p3204 @p3200)) % 1.33/1.55 (step @p3206 :rule aci_norm :args ((= (or @t3424 (or @t173 @t3681)) @t3686))) % 1.33/1.55 (step @p3207 :rule nary_cong :premises (@p2526 @p3194) :args ((or @t3430 @t3681))) % 1.33/1.55 (step @p3208 :rule bool-impl-elim :args (@t1061 @t3681)) % 1.33/1.55 (step @p3209 :rule trans :premises (@p3208 @p3207)) % 1.33/1.55 (step @p3210 :rule nary_cong :premises (@p2577 @p3209) :args ((or @t3424 @t3687))) % 1.33/1.55 (step @p3211 :rule trans :premises (@p3210 @p3206)) % 1.33/1.55 (step @p3212 :rule bool-impl-elim :args (@t21 @t3687)) % 1.33/1.55 (step @p3213 :rule trans :premises (@p3212 @p3211)) % 1.33/1.55 (step @p3214 :rule cong :premises (@p3213) :args ((forall @t70 (=> @t21 @t3687)))) % 1.33/1.55 (step @p3215 :rule trans :premises (@p3214 @p3205)) % 1.33/1.55 (step @p3216 :rule refl :args (@t20)) % 1.33/1.55 (step @p3217 :rule ho_cong :premises (@p3216 @p2825)) % 1.33/1.55 (step @p3218 :rule cong :premises (@p2585 @p3217) :args (@t1068)) % 1.33/1.55 (step @p3219 :rule cong :premises (@p2587 @p3218) :args (@t1069)) % 1.33/1.55 (step @p3220 :rule cong :premises (@p3219) :args (@t1070)) % 1.33/1.55 (step @p3221 :rule trans :premises (@p3220 @p3215)) % 1.33/1.55 (step @p3222 :rule cong :premises (@p2509 @p3221) :args (@t1071)) % 1.33/1.55 (step @p3223 :rule cong :premises (@p3222) :args (@t1073)) % 1.33/1.55 (step @p3224 :rule trans :premises (@p3223 @p3186)) % 1.33/1.55 (step @p3225 :rule refl :args (tptp.iffalseProp1)) % 1.33/1.55 (step @p3226 :rule cong :premises (@p3225 @p3224) :args (@t1074)) % 1.33/1.55 (step @p3227 :rule eq_resolve :premises (@p217 @p3226)) % 1.33/1.55 (step @p3228 :rule cong :premises (@p3227 @p3127) :args (@t3688)) % 1.33/1.55 (step @p3229 :rule refl :args ((tptp.lam @t2 @t1 @t1049))) % 1.33/1.55 (step @p3230 :rule refl :args (@t1884)) % 1.33/1.55 (step @p3231 :rule cong :premises (@p3230) :args (@t1885)) % 1.33/1.55 (step @p3232 :rule refl :args (@t1)) % 1.33/1.55 (step @p3233 :rule cong :premises (@p1248 @p3232 @p3231) :args (@t1886)) % 1.33/1.55 (step @p3234 :rule trans :premises (@p3233 @p3229)) % 1.33/1.55 (step @p3235 :rule refl :args (@t923)) % 1.33/1.55 (step @p3236 :rule ho_cong :premises (@p3235 @p3231)) % 1.33/1.55 (step @p3237 :rule cong :premises (@p3236 @p3234) :args ((= (_ @t923 @t1885) @t1886))) % 1.33/1.55 (step @p3238 :rule symm :premises (@p3237)) % 1.33/1.55 (step @p3239 :rule refl :args (@t1050)) % 1.33/1.55 (step @p3240 :rule eq_resolve :premises (@p3239 @p3238)) % 1.33/1.55 (step @p3241 :rule refl :args (@t897)) % 1.33/1.55 (step @p3242 :rule cong :premises (@p3241 @p3230) :args ((= @t897 @t1884))) % 1.33/1.55 (step @p3243 :rule symm :premises (@p3242)) % 1.33/1.55 (step @p3244 :rule eq_resolve :premises (@p3241 @p3243)) % 1.33/1.55 (step @p3245 :rule cong :premises (@p3244) :args (@t1049)) % 1.33/1.55 (step @p3246 :rule ho_cong :premises (@p3235 @p3245)) % 1.33/1.55 (step @p3247 :rule trans :premises (@p3246 @p3240)) % 1.33/1.55 (step @p3248 :rule refl :args (@t878)) % 1.33/1.55 (step @p3249 :rule cong :premises (@p3248 @p3247) :args (@t3689)) % 1.33/1.55 (step @p3250 :rule refl :args ((tptp.in @t878 @t903))) % 1.33/1.55 (step @p3251 :rule refl :args (@t1888)) % 1.33/1.55 (step @p3252 :rule cong :premises (@p3248 @p3251) :args (@t1889)) % 1.33/1.55 (step @p3253 :rule trans :premises (@p3252 @p3250)) % 1.33/1.55 (step @p3254 :rule refl :args (@t904)) % 1.33/1.55 (step @p3255 :rule ho_cong :premises (@p3254 @p3251)) % 1.33/1.55 (step @p3256 :rule cong :premises (@p3255 @p3253) :args ((= (_ @t904 @t1888) @t1889))) % 1.33/1.55 (step @p3257 :rule symm :premises (@p3256)) % 1.33/1.55 (step @p3258 :rule refl :args (@t905)) % 1.33/1.55 (step @p3259 :rule eq_resolve :premises (@p3258 @p3257)) % 1.33/1.55 (step @p3260 :rule refl :args (@t903)) % 1.33/1.55 (step @p3261 :rule cong :premises (@p3260 @p3251) :args ((= @t903 @t1888))) % 1.33/1.55 (step @p3262 :rule symm :premises (@p3261)) % 1.33/1.55 (step @p3263 :rule eq_resolve :premises (@p3260 @p3262)) % 1.33/1.55 (step @p3264 :rule ho_cong :premises (@p3254 @p3263)) % 1.33/1.55 (step @p3265 :rule trans :premises (@p3264 @p3259)) % 1.33/1.55 (step @p3266 :rule cong :premises (@p3265) :args (@t3690)) % 1.33/1.55 (step @p3267 :rule nary_cong :premises (@p3266 @p3249) :args (@t3691)) % 1.33/1.55 (step @p3268 :rule cong :premises (@p3267) :args ((forall @t887 @t3691))) % 1.33/1.55 (step @p3269 :rule bool-impl-elim :args (@t905 @t3689)) % 1.33/1.55 (step @p3270 :rule cong :premises (@p3269) :args ((forall @t887 (=> @t905 @t3689)))) % 1.33/1.55 (step @p3271 :rule trans :premises (@p3270 @p3268)) % 1.33/1.55 (step @p3272 :rule eq-symm :args (@t1050 @t878)) % 1.33/1.55 (step @p3273 :rule refl :args (@t905)) % 1.33/1.55 (step @p3274 :rule cong :premises (@p3273 @p3272) :args (@t1058)) % 1.33/1.55 (step @p3275 :rule cong :premises (@p3274) :args (@t1059)) % 1.33/1.55 (step @p3276 :rule trans :premises (@p3275 @p3271)) % 1.33/1.55 (step @p3277 :rule refl :args (tptp.eta2)) % 1.33/1.55 (step @p3278 :rule cong :premises (@p3277 @p3276) :args (@t1060)) % 1.33/1.55 (step @p3279 :rule eq_resolve :premises (@p216 @p3278)) % 1.33/1.55 (step @p3280 :rule cong :premises (@p3279 @p3228) :args (@t3692)) % 1.33/1.55 (step @p3281 :rule eq-symm :args (@t1901 tptp.beta2)) % 1.33/1.55 (step @p3282 :rule refl :args (tptp.beta2)) % 1.33/1.55 (step @p3283 :rule aci_norm :args ((= @t3694 @t1899))) % 1.33/1.55 (step @p3284 :rule cong :premises (@p3283) :args (@t3695)) % 1.33/1.55 (step @p3285 :rule quant-merge-prenex :args ((= (forall @t919 @t3697) @t3695))) % 1.33/1.55 (step @p3286 :rule alpha_equiv :args (@t3698 (@list @t1891) @t2902)) % 1.33/1.55 (step @p3287 :rule refl :args (@t1898)) % 1.33/1.55 (step @p3288 :rule nary_cong :premises (@p3287 @p3286) :args (@t3699)) % 1.33/1.55 (step @p3289 :rule quant-miniscope-or :args ((= @t3697 @t3699))) % 1.33/1.55 (step @p3290 :rule trans :premises (@p3289 @p3288)) % 1.33/1.55 (step @p3291 :rule symm :premises (@p3290)) % 1.33/1.55 (step @p3292 :rule cong :premises (@p3291) :args ((forall @t919 (or @t1898 @t3700)))) % 1.33/1.55 (step @p3293 :rule trans :premises (@p3292 @p3285)) % 1.33/1.55 (step @p3294 :rule trans :premises (@p3293 @p3284)) % 1.33/1.55 (step @p3295 :rule bool-impl-elim :args (@t1897 @t3700)) % 1.33/1.55 (step @p3296 :rule cong :premises (@p3295) :args ((forall @t919 (=> @t1897 @t3700)))) % 1.33/1.55 (step @p3297 :rule trans :premises (@p3296 @p3294)) % 1.33/1.55 (step @p3298 :rule lambda-elim :args ((= @t3702 @t913))) % 1.33/1.55 (step @p3299 :rule refl :args (@t1)) % 1.33/1.55 (step @p3300 :rule cong :premises (@p2773 @p3299 @p3298) :args (@t3703)) % 1.33/1.55 (step @p3301 :rule cong :premises (@p2773 @p3299 @p3300 @p2944) :args (@t3704)) % 1.33/1.55 (step @p3302 :rule refl :args (@t1895)) % 1.33/1.55 (step @p3303 :rule cong :premises (@p3302 @p3301) :args (@t3705)) % 1.33/1.55 (step @p3304 :rule nary_cong :premises (@p2602 @p3303) :args (@t3706)) % 1.33/1.55 (step @p3305 :rule cong :premises (@p3304) :args ((forall @t9 @t3706))) % 1.33/1.55 (step @p3306 :rule refl :args ((tptp.ap @t2 @t1 @t1042 @t4))) % 1.33/1.55 (step @p3307 :rule refl :args ((tptp.lam @t2 @t1 @t1041))) % 1.33/1.55 (step @p3308 :rule refl :args (@t3701)) % 1.33/1.55 (step @p3309 :rule cong :premises (@p3308) :args (@t3702)) % 1.33/1.55 (step @p3310 :rule cong :premises (@p1248 @p3232 @p3309) :args (@t3703)) % 1.33/1.55 (step @p3311 :rule trans :premises (@p3310 @p3307)) % 1.33/1.55 (step @p3312 :rule cong :premises (@p1248 @p3232 @p3311 @p874) :args (@t3704)) % 1.33/1.55 (step @p3313 :rule trans :premises (@p3312 @p3306)) % 1.33/1.55 (step @p3314 :rule refl :args (@t896)) % 1.33/1.55 (step @p3315 :rule ho_cong :premises (@p3314 @p3311)) % 1.33/1.55 (step @p3316 :rule ho_cong :premises (@p3315 @p874)) % 1.33/1.55 (step @p3317 :rule cong :premises (@p3316 @p3313) :args ((= (_ (_ @t896 @t3703) @t4) @t3704))) % 1.33/1.55 (step @p3318 :rule symm :premises (@p3317)) % 1.33/1.55 (step @p3319 :rule refl :args (@t1043)) % 1.33/1.55 (step @p3320 :rule eq_resolve :premises (@p3319 @p3318)) % 1.33/1.55 (step @p3321 :rule ho_cong :premises (@p3235 @p3309)) % 1.33/1.55 (step @p3322 :rule cong :premises (@p3321 @p3311) :args ((= (_ @t923 @t3702) @t3703))) % 1.33/1.55 (step @p3323 :rule symm :premises (@p3322)) % 1.33/1.55 (step @p3324 :rule refl :args (@t1042)) % 1.33/1.55 (step @p3325 :rule eq_resolve :premises (@p3324 @p3323)) % 1.33/1.55 (step @p3326 :rule refl :args (@t1040)) % 1.33/1.55 (step @p3327 :rule cong :premises (@p3326 @p3308) :args ((= @t1040 @t3701))) % 1.33/1.55 (step @p3328 :rule symm :premises (@p3327)) % 1.33/1.55 (step @p3329 :rule eq_resolve :premises (@p3326 @p3328)) % 1.33/1.55 (step @p3330 :rule cong :premises (@p3329) :args (@t1041)) % 1.33/1.55 (step @p3331 :rule ho_cong :premises (@p3235 @p3330)) % 1.33/1.55 (step @p3332 :rule trans :premises (@p3331 @p3325)) % 1.33/1.55 (step @p3333 :rule ho_cong :premises (@p3314 @p3332)) % 1.33/1.55 (step @p3334 :rule ho_cong :premises (@p3333 @p874)) % 1.33/1.55 (step @p3335 :rule trans :premises (@p3334 @p3320)) % 1.33/1.55 (step @p3336 :rule refl :args (@t1895)) % 1.33/1.55 (step @p3337 :rule refl :args (@t914)) % 1.33/1.55 (step @p3338 :rule cong :premises (@p3337 @p3336) :args ((= @t914 @t1895))) % 1.33/1.55 (step @p3339 :rule symm :premises (@p3338)) % 1.33/1.55 (step @p3340 :rule eq_resolve :premises (@p3337 @p3339)) % 1.33/1.55 (step @p3341 :rule cong :premises (@p3340 @p3335) :args (@t3707)) % 1.33/1.55 (step @p3342 :rule nary_cong :premises (@p910 @p3341) :args (@t3708)) % 1.33/1.55 (step @p3343 :rule cong :premises (@p3342) :args ((forall @t9 @t3708))) % 1.33/1.55 (step @p3344 :rule trans :premises (@p3343 @p3305)) % 1.33/1.55 (step @p3345 :rule bool-impl-elim :args (@t7 @t3707)) % 1.33/1.55 (step @p3346 :rule cong :premises (@p3345) :args ((forall @t9 (=> @t7 @t3707)))) % 1.33/1.55 (step @p3347 :rule trans :premises (@p3346 @p3344)) % 1.33/1.55 (step @p3348 :rule eq-symm :args (@t1043 @t914)) % 1.33/1.55 (step @p3349 :rule cong :premises (@p2509 @p3348) :args (@t1044)) % 1.33/1.55 (step @p3350 :rule cong :premises (@p3349) :args (@t1045)) % 1.33/1.55 (step @p3351 :rule trans :premises (@p3350 @p3347)) % 1.33/1.55 (step @p3352 :rule refl :args ((tptp.in @t914 @t1))) % 1.33/1.55 (step @p3353 :rule cong :premises (@p3336 @p3232) :args (@t1896)) % 1.33/1.55 (step @p3354 :rule trans :premises (@p3353 @p3352)) % 1.33/1.55 (step @p3355 :rule ho_cong :premises (@p1255 @p3336)) % 1.33/1.55 (step @p3356 :rule ho_cong :premises (@p3355 @p3232)) % 1.33/1.55 (step @p3357 :rule cong :premises (@p3356 @p3354) :args ((= (_ (_ tptp.in @t1895) @t1) @t1896))) % 1.33/1.55 (step @p3358 :rule symm :premises (@p3357)) % 1.33/1.55 (step @p3359 :rule refl :args (@t916)) % 1.33/1.55 (step @p3360 :rule eq_resolve :premises (@p3359 @p3358)) % 1.33/1.55 (step @p3361 :rule ho_cong :premises (@p1255 @p3340)) % 1.33/1.55 (step @p3362 :rule ho_cong :premises (@p3361 @p3232)) % 1.33/1.55 (step @p3363 :rule trans :premises (@p3362 @p3360)) % 1.33/1.55 (step @p3364 :rule nary_cong :premises (@p910 @p3363) :args (@t3709)) % 1.33/1.55 (step @p3365 :rule cong :premises (@p3364) :args ((forall @t9 @t3709))) % 1.33/1.55 (step @p3366 :rule bool-impl-elim :args (@t7 @t916)) % 1.33/1.55 (step @p3367 :rule cong :premises (@p3366) :args (@t917)) % 1.33/1.55 (step @p3368 :rule trans :premises (@p3367 @p3365)) % 1.33/1.55 (step @p3369 :rule cong :premises (@p3368 @p3351) :args (@t1046)) % 1.33/1.55 (step @p3370 :rule cong :premises (@p3369) :args (@t1047)) % 1.33/1.55 (step @p3371 :rule trans :premises (@p3370 @p3297)) % 1.33/1.55 (step @p3372 :rule cong :premises (@p3371 @p3282) :args ((= @t1047 tptp.beta2))) % 1.33/1.55 (step @p3373 :rule trans :premises (@p3372 @p3281)) % 1.33/1.55 (step @p3374 :rule eq-symm :args (tptp.beta2 @t1047)) % 1.33/1.55 (step @p3375 :rule trans :premises (@p3374 @p3373)) % 1.33/1.55 (step @p3376 :rule eq_resolve :premises (@p215 @p3375)) % 1.33/1.55 (step @p3377 :rule cong :premises (@p3376 @p3280) :args (@t3710)) % 1.33/1.55 (step @p3378 :rule bool-eq-true :args (tptp.lam2lamEq)) % 1.33/1.55 (step @p3379 :rule symm :premises (@p3378)) % 1.33/1.55 (step @p3380 :rule quant-unused-vars :args ((= (forall @t919 true) true))) % 1.33/1.55 (step @p3381 :rule bool-impl-true1 :args (@t1897)) % 1.33/1.55 (step @p3382 :rule eq-refl :args (@t924)) % 1.33/1.55 (step @p3383 :rule cong :premises (@p3368 @p3382) :args (@t1055)) % 1.33/1.55 (step @p3384 :rule trans :premises (@p3383 @p3381)) % 1.33/1.55 (step @p3385 :rule cong :premises (@p3384) :args (@t1056)) % 1.33/1.55 (step @p3386 :rule trans :premises (@p3385 @p3380)) % 1.33/1.55 (step @p3387 :rule refl :args (tptp.lam2lamEq)) % 1.33/1.55 (step @p3388 :rule cong :premises (@p3387 @p3386) :args (@t1057)) % 1.33/1.55 (step @p3389 :rule trans :premises (@p3388 @p3378)) % 1.33/1.55 (step @p3390 :rule eq_resolve :premises (@p214 @p3389)) % 1.33/1.55 (step @p3391 :rule eq_resolve :premises (@p3390 @p3379)) % 1.33/1.55 (step @p3392 :rule cong :premises (@p3391 @p3377) :args (@t3711)) % 1.33/1.55 (step @p3393 :rule refl :args (@t1903)) % 1.33/1.55 (step @p3394 :rule refl :args (@t885)) % 1.33/1.55 (step @p3395 :rule cong :premises (@p3394 @p3393) :args ((= @t885 @t1903))) % 1.33/1.55 (step @p3396 :rule symm :premises (@p3395)) % 1.33/1.55 (step @p3397 :rule eq_resolve :premises (@p3394 @p3396)) % 1.33/1.55 (step @p3398 :rule cong :premises (@p3397) :args (@t3712)) % 1.33/1.55 (step @p3399 :rule nary_cong :premises (@p3398 @p3249) :args (@t3713)) % 1.33/1.55 (step @p3400 :rule cong :premises (@p3399) :args ((forall @t887 @t3713))) % 1.33/1.55 (step @p3401 :rule bool-impl-elim :args (@t885 @t3689)) % 1.33/1.55 (step @p3402 :rule cong :premises (@p3401) :args ((forall @t887 (=> @t885 @t3689)))) % 1.33/1.55 (step @p3403 :rule trans :premises (@p3402 @p3400)) % 1.33/1.55 (step @p3404 :rule refl :args (@t885)) % 1.33/1.55 (step @p3405 :rule cong :premises (@p3404 @p3272) :args (@t1052)) % 1.33/1.55 (step @p3406 :rule cong :premises (@p3405) :args (@t1053)) % 1.33/1.55 (step @p3407 :rule trans :premises (@p3406 @p3403)) % 1.33/1.55 (step @p3408 :rule refl :args (tptp.eta1)) % 1.33/1.55 (step @p3409 :rule cong :premises (@p3408 @p3407) :args (@t1054)) % 1.33/1.55 (step @p3410 :rule eq_resolve :premises (@p213 @p3409)) % 1.33/1.55 (step @p3411 :rule cong :premises (@p3410 @p3392) :args (@t3714)) % 1.33/1.55 (step @p3412 :rule refl :args (tptp.beta1)) % 1.33/1.55 (step @p3413 :rule cong :premises (@p3412 @p3371) :args (@t1048)) % 1.33/1.55 (step @p3414 :rule eq_resolve :premises (@p212 @p3413)) % 1.33/1.55 (step @p3415 :rule cong :premises (@p3414 @p3411) :args (@t3715)) % 1.33/1.55 (step @p3416 :rule bool-eq-true :args (tptp.ap2apEq2)) % 1.33/1.55 (step @p3417 :rule symm :premises (@p3416)) % 1.33/1.55 (step @p3418 :rule quant-unused-vars :args ((= (forall @t887 true) true))) % 1.33/1.55 (step @p3419 :rule bool-impl-true1 :args (@t885)) % 1.33/1.55 (step @p3420 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 1.33/1.55 (step @p3421 :rule bool-impl-true1 :args (@t7)) % 1.33/1.55 (step @p3422 :rule eq-refl :args (@t897)) % 1.33/1.55 (step @p3423 :rule cong :premises (@p2509 @p3422) :args (@t1032)) % 1.33/1.55 (step @p3424 :rule trans :premises (@p3423 @p3421)) % 1.33/1.55 (step @p3425 :rule cong :premises (@p3424) :args (@t1033)) % 1.33/1.55 (step @p3426 :rule trans :premises (@p3425 @p3420)) % 1.33/1.55 (step @p3427 :rule cong :premises (@p3404 @p3426) :args (@t1037)) % 1.33/1.55 (step @p3428 :rule trans :premises (@p3427 @p3419)) % 1.33/1.55 (step @p3429 :rule cong :premises (@p3428) :args (@t1038)) % 1.33/1.55 (step @p3430 :rule trans :premises (@p3429 @p3418)) % 1.33/1.55 (step @p3431 :rule refl :args (tptp.ap2apEq2)) % 1.33/1.55 (step @p3432 :rule cong :premises (@p3431 @p3430) :args (@t1039)) % 1.33/1.55 (step @p3433 :rule trans :premises (@p3432 @p3416)) % 1.33/1.55 (step @p3434 :rule eq_resolve :premises (@p211 @p3433)) % 1.33/1.55 (step @p3435 :rule eq_resolve :premises (@p3434 @p3417)) % 1.33/1.55 (step @p3436 :rule cong :premises (@p3435 @p3415) :args (@t3716)) % 1.33/1.55 (step @p3437 :rule bool-eq-true :args (tptp.ap2apEq1)) % 1.33/1.55 (step @p3438 :rule symm :premises (@p3437)) % 1.33/1.55 (step @p3439 :rule bool-impl-true1 :args (@t905)) % 1.33/1.55 (step @p3440 :rule cong :premises (@p3273 @p3426) :args (@t1034)) % 1.33/1.55 (step @p3441 :rule trans :premises (@p3440 @p3439)) % 1.33/1.55 (step @p3442 :rule cong :premises (@p3441) :args (@t1035)) % 1.33/1.55 (step @p3443 :rule trans :premises (@p3442 @p3418)) % 1.33/1.55 (step @p3444 :rule refl :args (tptp.ap2apEq1)) % 1.33/1.55 (step @p3445 :rule cong :premises (@p3444 @p3443) :args (@t1036)) % 1.33/1.55 (step @p3446 :rule trans :premises (@p3445 @p3437)) % 1.33/1.55 (step @p3447 :rule eq_resolve :premises (@p210 @p3446)) % 1.33/1.55 (step @p3448 :rule eq_resolve :premises (@p3447 @p3438)) % 1.33/1.55 (step @p3449 :rule cong :premises (@p3448 @p3436) :args (@t3717)) % 1.33/1.55 (step @p3450 :rule aci_norm :args ((= @t3719 @t1910))) % 1.33/1.55 (step @p3451 :rule cong :premises (@p3450) :args (@t3720)) % 1.33/1.55 (step @p3452 :rule quant-merge-prenex :args ((= (forall @t887 @t3722) @t3720))) % 1.33/1.55 (step @p3453 :rule alpha_equiv :args (@t3723 (@list @t1906) @t3724)) % 1.33/1.55 (step @p3454 :rule refl :args (@t1890)) % 1.33/1.55 (step @p3455 :rule nary_cong :premises (@p3454 @p3453) :args (@t3725)) % 1.33/1.55 (step @p3456 :rule quant-miniscope-or :args ((= @t3722 @t3725))) % 1.33/1.55 (step @p3457 :rule trans :premises (@p3456 @p3455)) % 1.33/1.55 (step @p3458 :rule symm :premises (@p3457)) % 1.33/1.55 (step @p3459 :rule cong :premises (@p3458) :args ((forall @t887 (or @t1890 @t3730)))) % 1.33/1.55 (step @p3460 :rule trans :premises (@p3459 @p3452)) % 1.33/1.55 (step @p3461 :rule trans :premises (@p3460 @p3451)) % 1.33/1.55 (step @p3462 :rule refl :args (@t3730)) % 1.33/1.55 (step @p3463 :rule nary_cong :premises (@p3266 @p3462) :args (@t3731)) % 1.33/1.55 (step @p3464 :rule cong :premises (@p3463) :args ((forall @t887 @t3731))) % 1.33/1.55 (step @p3465 :rule trans :premises (@p3464 @p3461)) % 1.33/1.55 (step @p3466 :rule bool-impl-elim :args (@t905 @t3730)) % 1.33/1.55 (step @p3467 :rule cong :premises (@p3466) :args ((forall @t887 (=> @t905 @t3730)))) % 1.33/1.55 (step @p3468 :rule trans :premises (@p3467 @p3465)) % 1.33/1.55 (step @p3469 :rule refl :args (@t1018)) % 1.33/1.55 (step @p3470 :rule refl :args (@t3728)) % 1.33/1.55 (step @p3471 :rule refl :args ((tptp.in @t970 @t903))) % 1.33/1.55 (step @p3472 :rule refl :args (@t970)) % 1.33/1.55 (step @p3473 :rule cong :premises (@p3472 @p3251) :args (@t3729)) % 1.33/1.55 (step @p3474 :rule trans :premises (@p3473 @p3471)) % 1.33/1.55 (step @p3475 :rule refl :args (@t1025)) % 1.33/1.55 (step @p3476 :rule ho_cong :premises (@p3475 @p3251)) % 1.33/1.55 (step @p3477 :rule cong :premises (@p3476 @p3474) :args ((= (_ @t1025 @t1888) @t3729))) % 1.33/1.55 (step @p3478 :rule symm :premises (@p3477)) % 1.33/1.55 (step @p3479 :rule refl :args (@t1026)) % 1.33/1.55 (step @p3480 :rule eq_resolve :premises (@p3479 @p3478)) % 1.33/1.55 (step @p3481 :rule ho_cong :premises (@p3475 @p3263)) % 1.33/1.55 (step @p3482 :rule trans :premises (@p3481 @p3480)) % 1.33/1.55 (step @p3483 :rule cong :premises (@p3482) :args (@t3732)) % 1.33/1.55 (step @p3484 :rule nary_cong :premises (@p3483 @p3470 @p3469) :args (@t3733)) % 1.33/1.55 (step @p3485 :rule cong :premises (@p3484) :args ((forall @t982 @t3733))) % 1.33/1.55 (step @p3486 :rule aci_norm :args ((= (or @t3732 @t3734) @t3733))) % 1.33/1.55 (step @p3487 :rule bool-impl-elim :args (@t3727 @t1018)) % 1.33/1.55 (step @p3488 :rule refl :args (@t3732)) % 1.33/1.55 (step @p3489 :rule nary_cong :premises (@p3488 @p3487) :args ((or @t3732 @t3735))) % 1.33/1.55 (step @p3490 :rule trans :premises (@p3489 @p3486)) % 1.33/1.55 (step @p3491 :rule bool-impl-elim :args (@t1026 @t3735)) % 1.33/1.55 (step @p3492 :rule trans :premises (@p3491 @p3490)) % 1.33/1.55 (step @p3493 :rule cong :premises (@p3492) :args ((forall @t982 (=> @t1026 @t3735)))) % 1.33/1.55 (step @p3494 :rule trans :premises (@p3493 @p3485)) % 1.33/1.55 (step @p3495 :rule refl :args (@t1018)) % 1.33/1.55 (step @p3496 :rule refl :args (@t3726)) % 1.33/1.55 (step @p3497 :rule refl :args (@t976)) % 1.33/1.55 (step @p3498 :rule cong :premises (@p3497 @p3496) :args ((= @t976 @t3726))) % 1.33/1.55 (step @p3499 :rule symm :premises (@p3498)) % 1.33/1.55 (step @p3500 :rule eq_resolve :premises (@p3497 @p3499)) % 1.33/1.55 (step @p3501 :rule cong :premises (@p3244 @p3500) :args (@t977)) % 1.33/1.55 (step @p3502 :rule nary_cong :premises (@p910 @p3501) :args (@t3736)) % 1.33/1.55 (step @p3503 :rule cong :premises (@p3502) :args ((forall @t9 @t3736))) % 1.33/1.55 (step @p3504 :rule bool-impl-elim :args (@t7 @t977)) % 1.33/1.55 (step @p3505 :rule cong :premises (@p3504) :args (@t978)) % 1.33/1.55 (step @p3506 :rule trans :premises (@p3505 @p3503)) % 1.33/1.55 (step @p3507 :rule cong :premises (@p3506 @p3495) :args (@t1019)) % 1.33/1.55 (step @p3508 :rule refl :args (@t1026)) % 1.33/1.55 (step @p3509 :rule cong :premises (@p3508 @p3507) :args (@t1027)) % 1.33/1.55 (step @p3510 :rule cong :premises (@p3509) :args (@t1028)) % 1.33/1.55 (step @p3511 :rule trans :premises (@p3510 @p3494)) % 1.33/1.55 (step @p3512 :rule cong :premises (@p3273 @p3511) :args (@t1029)) % 1.33/1.55 (step @p3513 :rule cong :premises (@p3512) :args (@t1030)) % 1.33/1.55 (step @p3514 :rule trans :premises (@p3513 @p3468)) % 1.33/1.55 (step @p3515 :rule refl :args (tptp.funcext2)) % 1.33/1.55 (step @p3516 :rule cong :premises (@p3515 @p3514) :args (@t1031)) % 1.33/1.55 (step @p3517 :rule eq_resolve :premises (@p209 @p3516)) % 1.33/1.55 (step @p3518 :rule cong :premises (@p3517 @p3449) :args (@t3737)) % 1.33/1.55 (step @p3519 :rule aci_norm :args ((= @t3739 @t1917))) % 1.33/1.55 (step @p3520 :rule cong :premises (@p3519) :args (@t3740)) % 1.33/1.55 (step @p3521 :rule quant-merge-prenex :args ((= (forall @t887 @t3742) @t3740))) % 1.33/1.55 (step @p3522 :rule alpha_equiv :args (@t3743 (@list @t1913) @t3724)) % 1.33/1.55 (step @p3523 :rule refl :args (@t1904)) % 1.33/1.55 (step @p3524 :rule nary_cong :premises (@p3523 @p3522) :args (@t3744)) % 1.33/1.55 (step @p3525 :rule quant-miniscope-or :args ((= @t3742 @t3744))) % 1.33/1.55 (step @p3526 :rule trans :premises (@p3525 @p3524)) % 1.33/1.55 (step @p3527 :rule symm :premises (@p3526)) % 1.33/1.55 (step @p3528 :rule cong :premises (@p3527) :args ((forall @t887 (or @t1904 @t3747)))) % 1.33/1.55 (step @p3529 :rule trans :premises (@p3528 @p3521)) % 1.33/1.55 (step @p3530 :rule trans :premises (@p3529 @p3520)) % 1.33/1.55 (step @p3531 :rule refl :args (@t3747)) % 1.33/1.55 (step @p3532 :rule nary_cong :premises (@p3398 @p3531) :args (@t3748)) % 1.33/1.55 (step @p3533 :rule cong :premises (@p3532) :args ((forall @t887 @t3748))) % 1.33/1.55 (step @p3534 :rule trans :premises (@p3533 @p3530)) % 1.33/1.55 (step @p3535 :rule bool-impl-elim :args (@t885 @t3747)) % 1.33/1.55 (step @p3536 :rule cong :premises (@p3535) :args ((forall @t887 (=> @t885 @t3747)))) % 1.33/1.55 (step @p3537 :rule trans :premises (@p3536 @p3534)) % 1.33/1.55 (step @p3538 :rule refl :args (@t3745)) % 1.33/1.55 (step @p3539 :rule refl :args (@t980)) % 1.33/1.55 (step @p3540 :rule cong :premises (@p3539 @p3538) :args ((= @t980 @t3745))) % 1.33/1.55 (step @p3541 :rule symm :premises (@p3540)) % 1.33/1.55 (step @p3542 :rule eq_resolve :premises (@p3539 @p3541)) % 1.33/1.55 (step @p3543 :rule cong :premises (@p3542) :args (@t3749)) % 1.33/1.55 (step @p3544 :rule nary_cong :premises (@p3543 @p3470 @p3469) :args (@t3750)) % 1.33/1.55 (step @p3545 :rule cong :premises (@p3544) :args ((forall @t982 @t3750))) % 1.33/1.55 (step @p3546 :rule aci_norm :args ((= (or @t3749 @t3734) @t3750))) % 1.33/1.55 (step @p3547 :rule refl :args (@t3749)) % 1.33/1.55 (step @p3548 :rule nary_cong :premises (@p3547 @p3487) :args ((or @t3749 @t3735))) % 1.33/1.55 (step @p3549 :rule trans :premises (@p3548 @p3546)) % 1.33/1.55 (step @p3550 :rule bool-impl-elim :args (@t980 @t3735)) % 1.33/1.55 (step @p3551 :rule trans :premises (@p3550 @p3549)) % 1.33/1.55 (step @p3552 :rule cong :premises (@p3551) :args ((forall @t982 (=> @t980 @t3735)))) % 1.33/1.55 (step @p3553 :rule trans :premises (@p3552 @p3545)) % 1.33/1.55 (step @p3554 :rule refl :args (@t980)) % 1.33/1.55 (step @p3555 :rule cong :premises (@p3554 @p3507) :args (@t1020)) % 1.33/1.55 (step @p3556 :rule cong :premises (@p3555) :args (@t1021)) % 1.33/1.55 (step @p3557 :rule trans :premises (@p3556 @p3553)) % 1.33/1.55 (step @p3558 :rule cong :premises (@p3404 @p3557) :args (@t1022)) % 1.33/1.55 (step @p3559 :rule cong :premises (@p3558) :args (@t1023)) % 1.33/1.55 (step @p3560 :rule trans :premises (@p3559 @p3537)) % 1.33/1.55 (step @p3561 :rule refl :args (tptp.funcext)) % 1.33/1.55 (step @p3562 :rule cong :premises (@p3561 @p3560) :args (@t1024)) % 1.33/1.55 (step @p3563 :rule eq_resolve :premises (@p208 @p3562)) % 1.33/1.55 (step @p3564 :rule cong :premises (@p3563 @p3518) :args (@t3751)) % 1.33/1.55 (step @p3565 :rule aci_norm :args ((= @t3753 @t1938))) % 1.33/1.55 (step @p3566 :rule cong :premises (@p3565) :args (@t3754)) % 1.33/1.55 (step @p3567 :rule quant-merge-prenex :args ((= (forall @t946 @t3756) @t3754))) % 1.33/1.55 (step @p3568 :rule alpha_equiv :args (@t3757 (@list @t1920) @t3758)) % 1.33/1.56 (step @p3569 :rule refl :args (@t1937)) % 1.33/1.56 (step @p3570 :rule nary_cong :premises (@p3569 @p3568) :args (@t3759)) % 1.33/1.56 (step @p3571 :rule quant-miniscope-or :args ((= @t3756 @t3759))) % 1.33/1.56 (step @p3572 :rule trans :premises (@p3571 @p3570)) % 1.33/1.56 (step @p3573 :rule symm :premises (@p3572)) % 1.33/1.56 (step @p3574 :rule cong :premises (@p3573) :args ((forall @t946 (or @t1937 @t3770)))) % 1.33/1.56 (step @p3575 :rule trans :premises (@p3574 @p3567)) % 1.33/1.56 (step @p3576 :rule trans :premises (@p3575 @p3566)) % 1.33/1.56 (step @p3577 :rule refl :args (@t3770)) % 1.33/1.56 (step @p3578 :rule refl :args ((tptp.subset @t933 @t675))) % 1.33/1.56 (step @p3579 :rule refl :args (@t1934)) % 1.33/1.56 (step @p3580 :rule refl :args (@t933)) % 1.33/1.56 (step @p3581 :rule cong :premises (@p3580 @p3579) :args (@t1936)) % 1.33/1.56 (step @p3582 :rule trans :premises (@p3581 @p3578)) % 1.33/1.56 (step @p3583 :rule refl :args (@t991)) % 1.33/1.56 (step @p3584 :rule ho_cong :premises (@p3583 @p3579)) % 1.33/1.56 (step @p3585 :rule cong :premises (@p3584 @p3582) :args ((= (_ @t991 @t1934) @t1936))) % 1.33/1.56 (step @p3586 :rule symm :premises (@p3585)) % 1.33/1.56 (step @p3587 :rule refl :args (@t3771)) % 1.33/1.56 (step @p3588 :rule eq_resolve :premises (@p3587 @p3586)) % 1.33/1.56 (step @p3589 :rule refl :args (@t675)) % 1.33/1.56 (step @p3590 :rule cong :premises (@p3589 @p3579) :args ((= @t675 @t1934))) % 1.33/1.56 (step @p3591 :rule symm :premises (@p3590)) % 1.33/1.56 (step @p3592 :rule eq_resolve :premises (@p3589 @p3591)) % 1.33/1.56 (step @p3593 :rule ho_cong :premises (@p3583 @p3592)) % 1.33/1.56 (step @p3594 :rule trans :premises (@p3593 @p3588)) % 1.33/1.56 (step @p3595 :rule cong :premises (@p3594) :args (@t3772)) % 1.33/1.56 (step @p3596 :rule nary_cong :premises (@p3595 @p3577) :args (@t3773)) % 1.33/1.56 (step @p3597 :rule cong :premises (@p3596) :args ((forall @t946 @t3773))) % 1.33/1.56 (step @p3598 :rule trans :premises (@p3597 @p3576)) % 1.33/1.56 (step @p3599 :rule bool-impl-elim :args (@t3771 @t3770)) % 1.33/1.56 (step @p3600 :rule cong :premises (@p3599) :args ((forall @t946 (=> @t3771 @t3770)))) % 1.33/1.56 (step @p3601 :rule trans :premises (@p3600 @p3598)) % 1.33/1.56 (step @p3602 :rule refl :args (@t1006)) % 1.33/1.56 (step @p3603 :rule refl :args (@t3763)) % 1.33/1.56 (step @p3604 :rule refl :args (@t3767)) % 1.33/1.56 (step @p3605 :rule refl :args ((tptp.subset @t990 @t675))) % 1.33/1.56 (step @p3606 :rule refl :args (@t990)) % 1.33/1.56 (step @p3607 :rule cong :premises (@p3606 @p3579) :args (@t3768)) % 1.33/1.56 (step @p3608 :rule trans :premises (@p3607 @p3605)) % 1.33/1.56 (step @p3609 :rule refl :args (@t3774)) % 1.33/1.56 (step @p3610 :rule ho_cong :premises (@p3609 @p3579)) % 1.33/1.56 (step @p3611 :rule cong :premises (@p3610 @p3608) :args ((= (_ @t3774 @t1934) @t3768))) % 1.33/1.56 (step @p3612 :rule symm :premises (@p3611)) % 1.33/1.56 (step @p3613 :rule refl :args (@t3775)) % 1.33/1.56 (step @p3614 :rule eq_resolve :premises (@p3613 @p3612)) % 1.33/1.56 (step @p3615 :rule ho_cong :premises (@p3609 @p3592)) % 1.33/1.56 (step @p3616 :rule trans :premises (@p3615 @p3614)) % 1.33/1.56 (step @p3617 :rule cong :premises (@p3616) :args (@t3776)) % 1.33/1.56 (step @p3618 :rule nary_cong :premises (@p3617 @p3604 @p3603 @p3602) :args (@t3777)) % 1.33/1.56 (step @p3619 :rule cong :premises (@p3618) :args ((forall @t1001 @t3777))) % 1.33/1.56 (step @p3620 :rule aci_norm :args ((= (or @t3776 @t3778) @t3777))) % 1.33/1.56 (step @p3621 :rule aci_norm :args ((= (or @t3767 (or @t3763 @t1006)) @t3778))) % 1.33/1.56 (step @p3622 :rule bool-impl-elim :args (@t3762 @t1006)) % 1.33/1.56 (step @p3623 :rule nary_cong :premises (@p3604 @p3622) :args ((or @t3767 @t3779))) % 1.33/1.56 (step @p3624 :rule trans :premises (@p3623 @p3621)) % 1.33/1.56 (step @p3625 :rule bool-impl-elim :args (@t3766 @t3779)) % 1.33/1.56 (step @p3626 :rule trans :premises (@p3625 @p3624)) % 1.33/1.56 (step @p3627 :rule refl :args (@t3776)) % 1.33/1.56 (step @p3628 :rule nary_cong :premises (@p3627 @p3626) :args ((or @t3776 @t3780))) % 1.33/1.56 (step @p3629 :rule trans :premises (@p3628 @p3620)) % 1.33/1.56 (step @p3630 :rule bool-impl-elim :args (@t3775 @t3780)) % 1.33/1.56 (step @p3631 :rule trans :premises (@p3630 @p3629)) % 1.33/1.56 (step @p3632 :rule cong :premises (@p3631) :args ((forall @t1001 (=> @t3775 @t3780)))) % 1.33/1.56 (step @p3633 :rule trans :premises (@p3632 @p3619)) % 1.33/1.56 (step @p3634 :rule refl :args (@t1006)) % 1.33/1.56 (step @p3635 :rule aci_norm :args ((= @t3782 @t3761))) % 1.33/1.56 (step @p3636 :rule cong :premises (@p3635) :args (@t3783)) % 1.33/1.56 (step @p3637 :rule quant-merge-prenex :args ((= (forall @t9 @t3785) @t3783))) % 1.33/1.56 (step @p3638 :rule alpha_equiv :args (@t3786 (@list @t1922) @t3417)) % 1.33/1.56 (step @p3639 :rule nary_cong :premises (@p2450 @p3638) :args (@t3787)) % 1.33/1.56 (step @p3640 :rule quant-miniscope-or :args ((= @t3785 @t3787))) % 1.33/1.56 (step @p3641 :rule trans :premises (@p3640 @p3639)) % 1.33/1.56 (step @p3642 :rule symm :premises (@p3641)) % 1.33/1.56 (step @p3643 :rule cong :premises (@p3642) :args ((forall @t9 (or @t1795 @t3791)))) % 1.33/1.56 (step @p3644 :rule trans :premises (@p3643 @p3637)) % 1.33/1.56 (step @p3645 :rule trans :premises (@p3644 @p3636)) % 1.33/1.56 (step @p3646 :rule refl :args (@t3791)) % 1.33/1.56 (step @p3647 :rule nary_cong :premises (@p910 @p3646) :args (@t3792)) % 1.33/1.56 (step @p3648 :rule cong :premises (@p3647) :args ((forall @t9 @t3792))) % 1.33/1.56 (step @p3649 :rule trans :premises (@p3648 @p3645)) % 1.33/1.56 (step @p3650 :rule bool-impl-elim :args (@t7 @t3791)) % 1.33/1.56 (step @p3651 :rule cong :premises (@p3650) :args ((forall @t9 (=> @t7 @t3791)))) % 1.33/1.56 (step @p3652 :rule trans :premises (@p3651 @p3649)) % 1.33/1.56 (step @p3653 :rule refl :args ((tptp.in @t633 @t933))) % 1.33/1.56 (step @p3654 :rule refl :args (@t2050)) % 1.33/1.56 (step @p3655 :rule cong :premises (@p3654 @p3580) :args (@t3788)) % 1.33/1.56 (step @p3656 :rule trans :premises (@p3655 @p3653)) % 1.33/1.56 (step @p3657 :rule ho_cong :premises (@p1255 @p3654)) % 1.33/1.56 (step @p3658 :rule ho_cong :premises (@p3657 @p3580)) % 1.33/1.56 (step @p3659 :rule cong :premises (@p3658 @p3656) :args ((= (_ @t3793 @t933) @t3788))) % 1.33/1.56 (step @p3660 :rule symm :premises (@p3659)) % 1.33/1.56 (step @p3661 :rule refl :args (@t937)) % 1.33/1.56 (step @p3662 :rule eq_resolve :premises (@p3661 @p3660)) % 1.33/1.56 (step @p3663 :rule refl :args (@t633)) % 1.33/1.56 (step @p3664 :rule cong :premises (@p3663 @p3654) :args ((= @t633 @t2050))) % 1.33/1.56 (step @p3665 :rule symm :premises (@p3664)) % 1.33/1.56 (step @p3666 :rule eq_resolve :premises (@p3663 @p3665)) % 1.33/1.56 (step @p3667 :rule ho_cong :premises (@p1255 @p3666)) % 1.33/1.56 (step @p3668 :rule ho_cong :premises (@p3667 @p3580)) % 1.33/1.56 (step @p3669 :rule trans :premises (@p3668 @p3662)) % 1.33/1.56 (step @p3670 :rule refl :args ((tptp.in @t633 @t990))) % 1.33/1.56 (step @p3671 :rule cong :premises (@p3654 @p3606) :args (@t3789)) % 1.33/1.56 (step @p3672 :rule trans :premises (@p3671 @p3670)) % 1.33/1.56 (step @p3673 :rule ho_cong :premises (@p3657 @p3606)) % 1.33/1.56 (step @p3674 :rule cong :premises (@p3673 @p3672) :args ((= (_ @t3793 @t990) @t3789))) % 1.33/1.56 (step @p3675 :rule symm :premises (@p3674)) % 1.33/1.56 (step @p3676 :rule refl :args (@t993)) % 1.33/1.56 (step @p3677 :rule eq_resolve :premises (@p3676 @p3675)) % 1.33/1.56 (step @p3678 :rule ho_cong :premises (@p3667 @p3606)) % 1.33/1.56 (step @p3679 :rule trans :premises (@p3678 @p3677)) % 1.33/1.56 (step @p3680 :rule cong :premises (@p3679) :args (@t3794)) % 1.33/1.56 (step @p3681 :rule refl :args (@t2054)) % 1.33/1.56 (step @p3682 :rule refl :args (@t354)) % 1.33/1.56 (step @p3683 :rule cong :premises (@p3682 @p3681) :args ((= @t354 @t2054))) % 1.33/1.56 (step @p3684 :rule symm :premises (@p3683)) % 1.33/1.56 (step @p3685 :rule eq_resolve :premises (@p3682 @p3684)) % 1.33/1.56 (step @p3686 :rule cong :premises (@p3685) :args (@t3795)) % 1.33/1.56 (step @p3687 :rule nary_cong :premises (@p3686 @p3680 @p3669) :args (@t3796)) % 1.33/1.56 (step @p3688 :rule cong :premises (@p3687) :args ((forall @t70 @t3796))) % 1.33/1.56 (step @p3689 :rule aci_norm :args ((= (or @t3795 (or @t3794 @t937)) @t3796))) % 1.33/1.56 (step @p3690 :rule bool-impl-elim :args (@t993 @t937)) % 1.33/1.56 (step @p3691 :rule refl :args (@t3795)) % 1.33/1.56 (step @p3692 :rule nary_cong :premises (@p3691 @p3690) :args ((or @t3795 @t1007))) % 1.33/1.56 (step @p3693 :rule trans :premises (@p3692 @p3689)) % 1.33/1.56 (step @p3694 :rule bool-impl-elim :args (@t354 @t1007)) % 1.33/1.56 (step @p3695 :rule trans :premises (@p3694 @p3693)) % 1.33/1.56 (step @p3696 :rule cong :premises (@p3695) :args (@t1008)) % 1.33/1.56 (step @p3697 :rule trans :premises (@p3696 @p3688)) % 1.33/1.56 (step @p3698 :rule cong :premises (@p2509 @p3697) :args (@t1009)) % 1.33/1.56 (step @p3699 :rule cong :premises (@p3698) :args (@t1010)) % 1.33/1.56 (step @p3700 :rule trans :premises (@p3699 @p3652)) % 1.33/1.56 (step @p3701 :rule cong :premises (@p3700 @p3634) :args (@t1011)) % 1.33/1.56 (step @p3702 :rule aci_norm :args ((= @t3798 @t3765))) % 1.33/1.56 (step @p3703 :rule cong :premises (@p3702) :args (@t3799)) % 1.33/1.56 (step @p3704 :rule quant-merge-prenex :args ((= (forall @t9 @t3801) @t3799))) % 1.33/1.56 (step @p3705 :rule alpha_equiv :args (@t3802 (@list @t1928) @t3417)) % 1.33/1.56 (step @p3706 :rule nary_cong :premises (@p2450 @p3705) :args (@t3803)) % 1.33/1.56 (step @p3707 :rule quant-miniscope-or :args ((= @t3801 @t3803))) % 1.33/1.56 (step @p3708 :rule trans :premises (@p3707 @p3706)) % 1.33/1.56 (step @p3709 :rule symm :premises (@p3708)) % 1.33/1.56 (step @p3710 :rule cong :premises (@p3709) :args ((forall @t9 (or @t1795 @t3805)))) % 1.33/1.56 (step @p3711 :rule trans :premises (@p3710 @p3704)) % 1.33/1.56 (step @p3712 :rule trans :premises (@p3711 @p3703)) % 1.33/1.56 (step @p3713 :rule refl :args (@t3805)) % 1.33/1.56 (step @p3714 :rule nary_cong :premises (@p910 @p3713) :args (@t3806)) % 1.33/1.56 (step @p3715 :rule cong :premises (@p3714) :args ((forall @t9 @t3806))) % 1.33/1.56 (step @p3716 :rule trans :premises (@p3715 @p3712)) % 1.33/1.56 (step @p3717 :rule bool-impl-elim :args (@t7 @t3805)) % 1.33/1.56 (step @p3718 :rule cong :premises (@p3717) :args ((forall @t9 (=> @t7 @t3805)))) % 1.33/1.56 (step @p3719 :rule trans :premises (@p3718 @p3716)) % 1.33/1.56 (step @p3720 :rule cong :premises (@p3669) :args (@t3807)) % 1.33/1.56 (step @p3721 :rule nary_cong :premises (@p3686 @p3720 @p3679) :args (@t3808)) % 1.33/1.56 (step @p3722 :rule cong :premises (@p3721) :args ((forall @t70 @t3808))) % 1.33/1.56 (step @p3723 :rule aci_norm :args ((= (or @t3795 (or @t3807 @t993)) @t3808))) % 1.33/1.56 (step @p3724 :rule bool-impl-elim :args (@t937 @t993)) % 1.33/1.56 (step @p3725 :rule nary_cong :premises (@p3691 @p3724) :args ((or @t3795 @t994))) % 1.33/1.56 (step @p3726 :rule trans :premises (@p3725 @p3723)) % 1.33/1.56 (step @p3727 :rule bool-impl-elim :args (@t354 @t994)) % 1.33/1.56 (step @p3728 :rule trans :premises (@p3727 @p3726)) % 1.33/1.56 (step @p3729 :rule cong :premises (@p3728) :args (@t995)) % 1.33/1.56 (step @p3730 :rule trans :premises (@p3729 @p3722)) % 1.33/1.56 (step @p3731 :rule cong :premises (@p2509 @p3730) :args (@t996)) % 1.33/1.56 (step @p3732 :rule cong :premises (@p3731) :args (@t997)) % 1.33/1.56 (step @p3733 :rule trans :premises (@p3732 @p3719)) % 1.33/1.56 (step @p3734 :rule cong :premises (@p3733 @p3701) :args (@t1012)) % 1.33/1.56 (step @p3735 :rule beta-reduce :args ((= (_ @t3809 @t990) @t3775))) % 1.33/1.56 (step @p3736 :rule refl :args (@t990)) % 1.33/1.56 (step @p3737 :rule beta-reduce :args ((= (_ @t3810 @t1) @t3809))) % 1.33/1.56 (step @p3738 :rule beta-reduce :args ((= @t3811 @t3810))) % 1.33/1.56 (step @p3739 :rule ho_cong :premises (@p3738 @p3299)) % 1.33/1.56 (step @p3740 :rule trans :premises (@p3739 @p3737)) % 1.33/1.56 (step @p3741 :rule ho_cong :premises (@p3740 @p3736)) % 1.33/1.56 (step @p3742 :rule trans :premises (@p3741 @p3735)) % 1.33/1.56 (step @p3743 :rule cong :premises (@p3742 @p3734) :args (@t3814)) % 1.33/1.56 (step @p3744 :rule cong :premises (@p3743) :args (@t3815)) % 1.33/1.56 (step @p3745 :rule trans :premises (@p3744 @p3633)) % 1.33/1.56 (step @p3746 :rule beta-reduce :args ((= (_ @t3809 @t933) @t3771))) % 1.33/1.56 (step @p3747 :rule refl :args (@t933)) % 1.33/1.56 (step @p3748 :rule ho_cong :premises (@p3740 @p3747)) % 1.33/1.56 (step @p3749 :rule trans :premises (@p3748 @p3746)) % 1.33/1.56 (step @p3750 :rule cong :premises (@p3749 @p3745) :args (@t3817)) % 1.33/1.56 (step @p3751 :rule cong :premises (@p3750) :args (@t3818)) % 1.33/1.56 (step @p3752 :rule trans :premises (@p3751 @p3601)) % 1.33/1.56 (step @p3753 :rule refl :args (tptp.eqbreln)) % 1.33/1.56 (step @p3754 :rule cong :premises (@p3753 @p3752) :args ((= tptp.eqbreln @t3818))) % 1.33/1.56 (step @p3755 :rule refl :args (@t1012)) % 1.33/1.56 (step @p3756 :rule ho_cong :premises (@p263 @p2773)) % 1.33/1.56 (step @p3757 :rule ho_cong :premises (@p3756 @p3299)) % 1.33/1.56 (step @p3758 :rule ho_cong :premises (@p3757 @p3736)) % 1.33/1.56 (step @p3759 :rule cong :premises (@p3758 @p3755) :args (@t1013)) % 1.33/1.56 (step @p3760 :rule cong :premises (@p3759) :args (@t1014)) % 1.33/1.56 (step @p3761 :rule ho_cong :premises (@p3757 @p3747)) % 1.33/1.56 (step @p3762 :rule cong :premises (@p3761 @p3760) :args (@t1015)) % 1.33/1.56 (step @p3763 :rule cong :premises (@p3762) :args (@t1016)) % 1.33/1.56 (step @p3764 :rule cong :premises (@p3753 @p3763) :args (@t1017)) % 1.33/1.56 (step @p3765 :rule trans :premises (@p3764 @p3754)) % 1.33/1.56 (step @p3766 :rule eq_resolve :premises (@p207 @p3765)) % 1.33/1.56 (step @p3767 :rule cong :premises (@p3766 @p3564) :args (@t3819)) % 1.33/1.56 (step @p3768 :rule aci_norm :args ((= @t3821 @t1945))) % 1.33/1.56 (step @p3769 :rule cong :premises (@p3768) :args (@t3822)) % 1.33/1.56 (step @p3770 :rule quant-merge-prenex :args ((= (forall @t946 @t3824) @t3822))) % 1.33/1.56 (step @p3771 :rule alpha_equiv :args (@t3825 (@list @t1941) @t3758)) % 1.33/1.56 (step @p3772 :rule nary_cong :premises (@p3569 @p3771) :args (@t3826)) % 1.33/1.56 (step @p3773 :rule quant-miniscope-or :args ((= @t3824 @t3826))) % 1.33/1.56 (step @p3774 :rule trans :premises (@p3773 @p3772)) % 1.33/1.56 (step @p3775 :rule symm :premises (@p3774)) % 1.33/1.56 (step @p3776 :rule cong :premises (@p3775) :args ((forall @t946 (or @t1937 @t3828)))) % 1.33/1.56 (step @p3777 :rule trans :premises (@p3776 @p3770)) % 1.33/1.56 (step @p3778 :rule trans :premises (@p3777 @p3769)) % 1.33/1.56 (step @p3779 :rule refl :args (@t3828)) % 1.33/1.56 (step @p3780 :rule nary_cong :premises (@p3595 @p3779) :args (@t3829)) % 1.33/1.56 (step @p3781 :rule cong :premises (@p3780) :args ((forall @t946 @t3829))) % 1.33/1.56 (step @p3782 :rule trans :premises (@p3781 @p3778)) % 1.33/1.56 (step @p3783 :rule bool-impl-elim :args (@t3771 @t3828)) % 1.33/1.56 (step @p3784 :rule cong :premises (@p3783) :args ((forall @t946 (=> @t3771 @t3828)))) % 1.33/1.56 (step @p3785 :rule trans :premises (@p3784 @p3782)) % 1.33/1.56 (step @p3786 :rule refl :args (@t3827)) % 1.33/1.56 (step @p3787 :rule refl :args (@t992)) % 1.33/1.56 (step @p3788 :rule cong :premises (@p3787 @p3786) :args ((= @t992 @t3827))) % 1.33/1.56 (step @p3789 :rule symm :premises (@p3788)) % 1.33/1.56 (step @p3790 :rule eq_resolve :premises (@p3787 @p3789)) % 1.33/1.56 (step @p3791 :rule nary_cong :premises (@p3617 @p3604 @p3790) :args (@t3830)) % 1.33/1.56 (step @p3792 :rule cong :premises (@p3791) :args ((forall @t1001 @t3830))) % 1.33/1.56 (step @p3793 :rule aci_norm :args ((= (or @t3776 (or @t3767 @t992)) @t3830))) % 1.33/1.56 (step @p3794 :rule bool-impl-elim :args (@t3766 @t992)) % 1.33/1.56 (step @p3795 :rule nary_cong :premises (@p3627 @p3794) :args ((or @t3776 @t3831))) % 1.33/1.56 (step @p3796 :rule trans :premises (@p3795 @p3793)) % 1.33/1.56 (step @p3797 :rule bool-impl-elim :args (@t3775 @t3831)) % 1.33/1.56 (step @p3798 :rule trans :premises (@p3797 @p3796)) % 1.33/1.56 (step @p3799 :rule cong :premises (@p3798) :args ((forall @t1001 (=> @t3775 @t3831)))) % 1.33/1.56 (step @p3800 :rule trans :premises (@p3799 @p3792)) % 1.33/1.56 (step @p3801 :rule refl :args (@t992)) % 1.33/1.56 (step @p3802 :rule cong :premises (@p3733 @p3801) :args (@t998)) % 1.33/1.56 (step @p3803 :rule cong :premises (@p3742 @p3802) :args (@t3832)) % 1.33/1.56 (step @p3804 :rule cong :premises (@p3803) :args (@t3833)) % 1.33/1.56 (step @p3805 :rule trans :premises (@p3804 @p3800)) % 1.33/1.56 (step @p3806 :rule cong :premises (@p3749 @p3805) :args (@t3834)) % 1.33/1.56 (step @p3807 :rule cong :premises (@p3806) :args (@t3835)) % 1.33/1.56 (step @p3808 :rule trans :premises (@p3807 @p3785)) % 1.33/1.56 (step @p3809 :rule refl :args (tptp.subbreln)) % 1.33/1.56 (step @p3810 :rule cong :premises (@p3809 @p3808) :args ((= tptp.subbreln @t3835))) % 1.33/1.56 (step @p3811 :rule refl :args (@t998)) % 1.33/1.56 (step @p3812 :rule cong :premises (@p3758 @p3811) :args (@t1000)) % 1.33/1.56 (step @p3813 :rule cong :premises (@p3812) :args (@t1002)) % 1.33/1.56 (step @p3814 :rule cong :premises (@p3761 @p3813) :args (@t1003)) % 1.33/1.56 (step @p3815 :rule cong :premises (@p3814) :args (@t1004)) % 1.33/1.56 (step @p3816 :rule cong :premises (@p3809 @p3815) :args (@t1005)) % 1.33/1.56 (step @p3817 :rule trans :premises (@p3816 @p3810)) % 1.33/1.56 (step @p3818 :rule eq_resolve :premises (@p206 @p3817)) % 1.33/1.56 (step @p3819 :rule cong :premises (@p3818 @p3767) :args (@t3836)) % 1.33/1.56 (step @p3820 :rule eq-symm :args (@t1949 @t1950)) % 1.33/1.56 (step @p3821 :rule refl :args (@t1951)) % 1.33/1.56 (step @p3822 :rule refl :args (@t1952)) % 1.33/1.56 (step @p3823 :rule refl :args (@t1953)) % 1.33/1.56 (step @p3824 :rule refl :args (@t1890)) % 1.33/1.56 (step @p3825 :rule nary_cong :premises (@p3824 @p3823 @p3822 @p3821 @p3820) :args (@t3838)) % 1.33/1.56 (step @p3826 :rule aci_norm :args ((= @t3840 @t3838))) % 1.33/1.56 (step @p3827 :rule trans :premises (@p3826 @p3825)) % 1.33/1.56 (step @p3828 :rule cong :premises (@p3827) :args (@t3841)) % 1.33/1.56 (step @p3829 :rule quant-merge-prenex :args ((= (forall @t887 @t3843) @t3841))) % 1.33/1.56 (step @p3830 :rule alpha_equiv :args (@t3844 (@list @t1948 @t1950) @t3846)) % 1.33/1.56 (step @p3831 :rule nary_cong :premises (@p3454 @p3830) :args (@t3847)) % 1.33/1.56 (step @p3832 :rule quant-miniscope-or :args ((= @t3843 @t3847))) % 1.33/1.56 (step @p3833 :rule trans :premises (@p3832 @p3831)) % 1.33/1.56 (step @p3834 :rule symm :premises (@p3833)) % 1.33/1.56 (step @p3835 :rule cong :premises (@p3834) :args ((forall @t887 (or @t1890 @t3851)))) % 1.33/1.56 (step @p3836 :rule trans :premises (@p3835 @p3829)) % 1.33/1.56 (step @p3837 :rule trans :premises (@p3836 @p3828)) % 1.33/1.56 (step @p3838 :rule refl :args (@t3851)) % 1.33/1.56 (step @p3839 :rule nary_cong :premises (@p3266 @p3838) :args (@t3852)) % 1.33/1.56 (step @p3840 :rule cong :premises (@p3839) :args ((forall @t887 @t3852))) % 1.33/1.56 (step @p3841 :rule trans :premises (@p3840 @p3837)) % 1.33/1.56 (step @p3842 :rule bool-impl-elim :args (@t905 @t3851)) % 1.33/1.56 (step @p3843 :rule cong :premises (@p3842) :args ((forall @t887 (=> @t905 @t3851)))) % 1.33/1.56 (step @p3844 :rule trans :premises (@p3843 @p3841)) % 1.33/1.56 (step @p3845 :rule eq-symm :args (@t3845 @t1884)) % 1.33/1.56 (step @p3846 :rule refl :args (@t3848)) % 1.33/1.56 (step @p3847 :rule refl :args (@t3849)) % 1.33/1.56 (step @p3848 :rule nary_cong :premises (@p2602 @p3847 @p3846 @p3845) :args (@t3854)) % 1.33/1.56 (step @p3849 :rule aci_norm :args ((= @t3856 @t3854))) % 1.33/1.56 (step @p3850 :rule trans :premises (@p3849 @p3848)) % 1.33/1.56 (step @p3851 :rule cong :premises (@p3850) :args (@t3857)) % 1.33/1.56 (step @p3852 :rule quant-merge-prenex :args ((= (forall @t9 @t3859) @t3857))) % 1.33/1.56 (step @p3853 :rule alpha_equiv :args (@t3860 (@list @t3845) @t3417)) % 1.33/1.56 (step @p3854 :rule nary_cong :premises (@p2450 @p3853) :args (@t3861)) % 1.33/1.56 (step @p3855 :rule quant-miniscope-or :args ((= @t3859 @t3861))) % 1.33/1.56 (step @p3856 :rule trans :premises (@p3855 @p3854)) % 1.33/1.56 (step @p3857 :rule symm :premises (@p3856)) % 1.33/1.56 (step @p3858 :rule cong :premises (@p3857) :args ((forall @t9 (or @t1795 @t3863)))) % 1.33/1.56 (step @p3859 :rule trans :premises (@p3858 @p3852)) % 1.33/1.56 (step @p3860 :rule trans :premises (@p3859 @p3851)) % 1.33/1.56 (step @p3861 :rule refl :args (@t3863)) % 1.33/1.56 (step @p3862 :rule nary_cong :premises (@p910 @p3861) :args (@t3864)) % 1.33/1.56 (step @p3863 :rule cong :premises (@p3862) :args ((forall @t9 @t3864))) % 1.33/1.56 (step @p3864 :rule trans :premises (@p3863 @p3860)) % 1.33/1.56 (step @p3865 :rule bool-impl-elim :args (@t7 @t3863)) % 1.33/1.56 (step @p3866 :rule cong :premises (@p3865) :args ((forall @t9 (=> @t7 @t3863)))) % 1.33/1.56 (step @p3867 :rule trans :premises (@p3866 @p3864)) % 1.33/1.56 (step @p3868 :rule cong :premises (@p2561 @p3244) :args (@t3865)) % 1.33/1.56 (step @p3869 :rule refl :args ((tptp.in @t633 @t878))) % 1.33/1.56 (step @p3870 :rule cong :premises (@p3654 @p3248) :args (@t3862)) % 1.33/1.56 (step @p3871 :rule trans :premises (@p3870 @p3869)) % 1.33/1.56 (step @p3872 :rule ho_cong :premises (@p3657 @p3248)) % 1.33/1.56 (step @p3873 :rule cong :premises (@p3872 @p3871) :args ((= (_ @t3793 @t878) @t3862))) % 1.33/1.56 (step @p3874 :rule symm :premises (@p3873)) % 1.33/1.56 (step @p3875 :rule refl :args (@t879)) % 1.33/1.56 (step @p3876 :rule eq_resolve :premises (@p3875 @p3874)) % 1.33/1.56 (step @p3877 :rule ho_cong :premises (@p3667 @p3248)) % 1.33/1.56 (step @p3878 :rule trans :premises (@p3877 @p3876)) % 1.33/1.56 (step @p3879 :rule cong :premises (@p3878) :args (@t3866)) % 1.33/1.56 (step @p3880 :rule nary_cong :premises (@p3686 @p3879 @p3868) :args (@t3867)) % 1.33/1.56 (step @p3881 :rule cong :premises (@p3880) :args ((forall @t70 @t3867))) % 1.33/1.56 (step @p3882 :rule aci_norm :args ((= (or @t3795 (or @t3866 @t3865)) @t3867))) % 1.33/1.56 (step @p3883 :rule bool-impl-elim :args (@t879 @t3865)) % 1.33/1.56 (step @p3884 :rule nary_cong :premises (@p3691 @p3883) :args ((or @t3795 @t3868))) % 1.33/1.56 (step @p3885 :rule trans :premises (@p3884 @p3882)) % 1.33/1.56 (step @p3886 :rule bool-impl-elim :args (@t354 @t3868)) % 1.33/1.56 (step @p3887 :rule trans :premises (@p3886 @p3885)) % 1.33/1.56 (step @p3888 :rule cong :premises (@p3887) :args ((forall @t70 (=> @t354 @t3868)))) % 1.33/1.56 (step @p3889 :rule trans :premises (@p3888 @p3881)) % 1.33/1.56 (step @p3890 :rule eq-symm :args (@t897 @t19)) % 1.33/1.56 (step @p3891 :rule refl :args (@t879)) % 1.33/1.56 (step @p3892 :rule cong :premises (@p3891 @p3890) :args (@t962)) % 1.33/1.56 (step @p3893 :rule refl :args (@t354)) % 1.33/1.56 (step @p3894 :rule cong :premises (@p3893 @p3892) :args (@t963)) % 1.33/1.56 (step @p3895 :rule cong :premises (@p3894) :args (@t964)) % 1.33/1.56 (step @p3896 :rule trans :premises (@p3895 @p3889)) % 1.33/1.56 (step @p3897 :rule cong :premises (@p2509 @p3896) :args (@t965)) % 1.33/1.56 (step @p3898 :rule cong :premises (@p3897) :args (@t966)) % 1.33/1.56 (step @p3899 :rule trans :premises (@p3898 @p3867)) % 1.33/1.56 (step @p3900 :rule cong :premises (@p3273 @p3899) :args (@t987)) % 1.33/1.56 (step @p3901 :rule cong :premises (@p3900) :args (@t988)) % 1.33/1.56 (step @p3902 :rule trans :premises (@p3901 @p3844)) % 1.33/1.56 (step @p3903 :rule refl :args (tptp.funcGraphProp4)) % 1.33/1.56 (step @p3904 :rule cong :premises (@p3903 @p3902) :args (@t989)) % 1.33/1.56 (step @p3905 :rule eq_resolve :premises (@p205 @p3904)) % 1.33/1.56 (step @p3906 :rule cong :premises (@p3905 @p3819) :args (@t3869)) % 1.33/1.56 (step @p3907 :rule aci_norm :args ((= @t3871 @t1966))) % 1.33/1.56 (step @p3908 :rule cong :premises (@p3907) :args (@t3872)) % 1.33/1.56 (step @p3909 :rule quant-merge-prenex :args ((= (forall @t887 @t3874) @t3872))) % 1.33/1.56 (step @p3910 :rule alpha_equiv :args (@t3875 (@list @t1960 @t1957 @t1956) (@list @t970 @t3877 @t3876))) % 1.33/1.56 (step @p3911 :rule nary_cong :premises (@p3523 @p3910) :args (@t3878)) % 1.33/1.56 (step @p3912 :rule quant-miniscope-or :args ((= @t3874 @t3878))) % 1.33/1.56 (step @p3913 :rule trans :premises (@p3912 @p3911)) % 1.33/1.56 (step @p3914 :rule symm :premises (@p3913)) % 1.33/1.56 (step @p3915 :rule cong :premises (@p3914) :args ((forall @t887 (or @t1904 @t3886)))) % 1.33/1.56 (step @p3916 :rule trans :premises (@p3915 @p3909)) % 1.33/1.56 (step @p3917 :rule trans :premises (@p3916 @p3908)) % 1.33/1.56 (step @p3918 :rule refl :args (@t3886)) % 1.33/1.56 (step @p3919 :rule nary_cong :premises (@p3398 @p3918) :args (@t3887)) % 1.33/1.56 (step @p3920 :rule cong :premises (@p3919) :args ((forall @t887 @t3887))) % 1.33/1.56 (step @p3921 :rule trans :premises (@p3920 @p3917)) % 1.33/1.56 (step @p3922 :rule bool-impl-elim :args (@t885 @t3886)) % 1.33/1.56 (step @p3923 :rule cong :premises (@p3922) :args ((forall @t887 (=> @t885 @t3886)))) % 1.33/1.56 (step @p3924 :rule trans :premises (@p3923 @p3921)) % 1.33/1.56 (step @p3925 :rule aci_norm :args ((= @t3889 @t3884))) % 1.33/1.56 (step @p3926 :rule cong :premises (@p3925) :args (@t3890)) % 1.33/1.56 (step @p3927 :rule quant-merge-prenex :args ((= (forall @t982 @t3892) @t3890))) % 1.33/1.56 (step @p3928 :rule alpha_equiv :args (@t3893 (@list @t3877 @t3876) (@list @t4 @t3894))) % 1.33/1.56 (step @p3929 :rule refl :args (@t3746)) % 1.33/1.56 (step @p3930 :rule nary_cong :premises (@p3929 @p3470 @p3928) :args (@t3895)) % 1.33/1.56 (step @p3931 :rule quant-miniscope-or :args ((= @t3892 @t3895))) % 1.33/1.56 (step @p3932 :rule trans :premises (@p3931 @p3930)) % 1.33/1.56 (step @p3933 :rule symm :premises (@p3932)) % 1.33/1.56 (step @p3934 :rule cong :premises (@p3933) :args ((forall @t982 (or @t3746 @t3728 @t3902)))) % 1.33/1.56 (step @p3935 :rule trans :premises (@p3934 @p3927)) % 1.33/1.56 (step @p3936 :rule trans :premises (@p3935 @p3926)) % 1.33/1.56 (step @p3937 :rule refl :args (@t3902)) % 1.33/1.56 (step @p3938 :rule nary_cong :premises (@p3543 @p3470 @p3937) :args (@t3903)) % 1.33/1.56 (step @p3939 :rule cong :premises (@p3938) :args ((forall @t982 @t3903))) % 1.33/1.56 (step @p3940 :rule trans :premises (@p3939 @p3936)) % 1.33/1.56 (step @p3941 :rule aci_norm :args ((= (or @t3749 (or @t3728 @t3902)) @t3903))) % 1.33/1.56 (step @p3942 :rule bool-impl-elim :args (@t3727 @t3902)) % 1.33/1.56 (step @p3943 :rule nary_cong :premises (@p3547 @p3942) :args ((or @t3749 @t3904))) % 1.33/1.56 (step @p3944 :rule trans :premises (@p3943 @p3941)) % 1.33/1.56 (step @p3945 :rule bool-impl-elim :args (@t980 @t3904)) % 1.33/1.56 (step @p3946 :rule trans :premises (@p3945 @p3944)) % 1.33/1.56 (step @p3947 :rule cong :premises (@p3946) :args ((forall @t982 (=> @t980 @t3904)))) % 1.33/1.56 (step @p3948 :rule trans :premises (@p3947 @p3940)) % 1.33/1.56 (step @p3949 :rule aci_norm :args ((= @t3906 @t3900))) % 1.33/1.56 (step @p3950 :rule cong :premises (@p3949) :args (@t3907)) % 1.33/1.56 (step @p3951 :rule quant-merge-prenex :args ((= (forall @t9 @t3909) @t3907))) % 1.33/1.56 (step @p3952 :rule alpha_equiv :args (@t3910 (@list @t3894) @t3417)) % 1.33/1.56 (step @p3953 :rule nary_cong :premises (@p2450 @p3952) :args (@t3911)) % 1.33/1.56 (step @p3954 :rule quant-miniscope-or :args ((= @t3909 @t3911))) % 1.33/1.56 (step @p3955 :rule trans :premises (@p3954 @p3953)) % 1.33/1.56 (step @p3956 :rule symm :premises (@p3955)) % 1.33/1.56 (step @p3957 :rule cong :premises (@p3956) :args ((forall @t9 (or @t1795 @t3913)))) % 1.33/1.56 (step @p3958 :rule trans :premises (@p3957 @p3951)) % 1.33/1.56 (step @p3959 :rule trans :premises (@p3958 @p3950)) % 1.33/1.56 (step @p3960 :rule refl :args (@t3913)) % 1.33/1.56 (step @p3961 :rule nary_cong :premises (@p910 @p3960) :args (@t3914)) % 1.33/1.56 (step @p3962 :rule cong :premises (@p3961) :args ((forall @t9 @t3914))) % 1.33/1.56 (step @p3963 :rule trans :premises (@p3962 @p3959)) % 1.33/1.56 (step @p3964 :rule bool-impl-elim :args (@t7 @t3913)) % 1.33/1.56 (step @p3965 :rule cong :premises (@p3964) :args ((forall @t9 (=> @t7 @t3913)))) % 1.33/1.56 (step @p3966 :rule trans :premises (@p3965 @p3963)) % 1.33/1.56 (step @p3967 :rule refl :args ((tptp.in @t633 @t970))) % 1.33/1.56 (step @p3968 :rule cong :premises (@p3654 @p3472) :args (@t3912)) % 1.33/1.56 (step @p3969 :rule trans :premises (@p3968 @p3967)) % 1.33/1.56 (step @p3970 :rule ho_cong :premises (@p3657 @p3472)) % 1.33/1.56 (step @p3971 :rule cong :premises (@p3970 @p3969) :args ((= (_ @t3793 @t970) @t3912))) % 1.33/1.56 (step @p3972 :rule symm :premises (@p3971)) % 1.33/1.56 (step @p3973 :rule refl :args (@t971)) % 1.33/1.56 (step @p3974 :rule eq_resolve :premises (@p3973 @p3972)) % 1.33/1.56 (step @p3975 :rule ho_cong :premises (@p3667 @p3472)) % 1.33/1.56 (step @p3976 :rule trans :premises (@p3975 @p3974)) % 1.33/1.56 (step @p3977 :rule cong :premises (@p3976) :args (@t3915)) % 1.33/1.56 (step @p3978 :rule nary_cong :premises (@p3686 @p3977 @p3878) :args (@t3916)) % 1.33/1.56 (step @p3979 :rule cong :premises (@p3978) :args ((forall @t70 @t3916))) % 1.33/1.56 (step @p3980 :rule aci_norm :args ((= (or @t3795 (or @t3915 @t879)) @t3916))) % 1.33/1.56 (step @p3981 :rule bool-impl-elim :args (@t971 @t879)) % 1.33/1.56 (step @p3982 :rule nary_cong :premises (@p3691 @p3981) :args ((or @t3795 @t972))) % 1.33/1.56 (step @p3983 :rule trans :premises (@p3982 @p3980)) % 1.33/1.56 (step @p3984 :rule bool-impl-elim :args (@t354 @t972)) % 1.33/1.56 (step @p3985 :rule trans :premises (@p3984 @p3983)) % 1.33/1.56 (step @p3986 :rule cong :premises (@p3985) :args (@t973)) % 1.33/1.56 (step @p3987 :rule trans :premises (@p3986 @p3979)) % 1.33/1.56 (step @p3988 :rule cong :premises (@p2509 @p3987) :args (@t974)) % 1.33/1.56 (step @p3989 :rule cong :premises (@p3988) :args (@t975)) % 1.33/1.56 (step @p3990 :rule trans :premises (@p3989 @p3966)) % 1.33/1.56 (step @p3991 :rule cong :premises (@p3506 @p3990) :args (@t979)) % 1.33/1.56 (step @p3992 :rule cong :premises (@p3554 @p3991) :args (@t981)) % 1.33/1.56 (step @p3993 :rule cong :premises (@p3992) :args (@t983)) % 1.33/1.56 (step @p3994 :rule trans :premises (@p3993 @p3948)) % 1.33/1.56 (step @p3995 :rule cong :premises (@p3404 @p3994) :args (@t984)) % 1.33/1.56 (step @p3996 :rule cong :premises (@p3995) :args (@t985)) % 1.33/1.56 (step @p3997 :rule trans :premises (@p3996 @p3924)) % 1.33/1.56 (step @p3998 :rule refl :args (tptp.funcextLem)) % 1.33/1.56 (step @p3999 :rule cong :premises (@p3998 @p3997) :args (@t986)) % 1.33/1.56 (step @p4000 :rule eq_resolve :premises (@p204 @p3999)) % 1.33/1.56 (step @p4001 :rule cong :premises (@p4000 @p3906) :args (@t3917)) % 1.33/1.56 (step @p4002 :rule eq-symm :args (@t1970 @t1971)) % 1.33/1.56 (step @p4003 :rule refl :args (@t1972)) % 1.33/1.56 (step @p4004 :rule refl :args (@t1973)) % 1.33/1.56 (step @p4005 :rule refl :args (@t1974)) % 1.33/1.56 (step @p4006 :rule refl :args (@t1904)) % 1.33/1.56 (step @p4007 :rule nary_cong :premises (@p4006 @p4005 @p4004 @p4003 @p4002) :args (@t3919)) % 1.33/1.56 (step @p4008 :rule aci_norm :args ((= @t3921 @t3919))) % 1.33/1.56 (step @p4009 :rule trans :premises (@p4008 @p4007)) % 1.33/1.56 (step @p4010 :rule cong :premises (@p4009) :args (@t3922)) % 1.33/1.56 (step @p4011 :rule quant-merge-prenex :args ((= (forall @t887 @t3924) @t3922))) % 1.33/1.56 (step @p4012 :rule alpha_equiv :args (@t3925 (@list @t1969 @t1971) @t3846)) % 1.33/1.56 (step @p4013 :rule nary_cong :premises (@p3523 @p4012) :args (@t3926)) % 1.33/1.56 (step @p4014 :rule quant-miniscope-or :args ((= @t3924 @t3926))) % 1.33/1.56 (step @p4015 :rule trans :premises (@p4014 @p4013)) % 1.33/1.56 (step @p4016 :rule symm :premises (@p4015)) % 1.33/1.56 (step @p4017 :rule cong :premises (@p4016) :args ((forall @t887 (or @t1904 @t3851)))) % 1.33/1.56 (step @p4018 :rule trans :premises (@p4017 @p4011)) % 1.33/1.56 (step @p4019 :rule trans :premises (@p4018 @p4010)) % 1.33/1.56 (step @p4020 :rule nary_cong :premises (@p3398 @p3838) :args (@t3927)) % 1.33/1.56 (step @p4021 :rule cong :premises (@p4020) :args ((forall @t887 @t3927))) % 1.33/1.56 (step @p4022 :rule trans :premises (@p4021 @p4019)) % 1.33/1.56 (step @p4023 :rule bool-impl-elim :args (@t885 @t3851)) % 1.33/1.56 (step @p4024 :rule cong :premises (@p4023) :args ((forall @t887 (=> @t885 @t3851)))) % 1.33/1.56 (step @p4025 :rule trans :premises (@p4024 @p4022)) % 1.33/1.56 (step @p4026 :rule cong :premises (@p3404 @p3899) :args (@t967)) % 1.33/1.56 (step @p4027 :rule cong :premises (@p4026) :args (@t968)) % 1.33/1.56 (step @p4028 :rule trans :premises (@p4027 @p4025)) % 1.33/1.56 (step @p4029 :rule refl :args (tptp.funcGraphProp2)) % 1.33/1.56 (step @p4030 :rule cong :premises (@p4029 @p4028) :args (@t969)) % 1.33/1.56 (step @p4031 :rule eq_resolve :premises (@p203 @p4030)) % 1.33/1.56 (step @p4032 :rule cong :premises (@p4031 @p4001) :args (@t3928)) % 1.33/1.56 (step @p4033 :rule aci_norm :args ((= @t3930 @t1980))) % 1.33/1.56 (step @p4034 :rule cong :premises (@p4033) :args (@t3931)) % 1.33/1.56 (step @p4035 :rule quant-merge-prenex :args ((= (forall @t887 @t3933) @t3931))) % 1.33/1.56 (step @p4036 :rule alpha_equiv :args (@t3934 (@list @t1977) @t2902)) % 1.33/1.56 (step @p4037 :rule nary_cong :premises (@p3454 @p4036) :args (@t3935)) % 1.33/1.56 (step @p4038 :rule quant-miniscope-or :args ((= @t3933 @t3935))) % 1.33/1.56 (step @p4039 :rule trans :premises (@p4038 @p4037)) % 1.33/1.56 (step @p4040 :rule symm :premises (@p4039)) % 1.33/1.56 (step @p4041 :rule cong :premises (@p4040) :args ((forall @t887 (or @t1890 @t3938)))) % 1.33/1.56 (step @p4042 :rule trans :premises (@p4041 @p4035)) % 1.33/1.56 (step @p4043 :rule trans :premises (@p4042 @p4034)) % 1.33/1.56 (step @p4044 :rule refl :args (@t3938)) % 1.33/1.56 (step @p4045 :rule nary_cong :premises (@p3266 @p4044) :args (@t3939)) % 1.33/1.56 (step @p4046 :rule cong :premises (@p4045) :args ((forall @t887 @t3939))) % 1.33/1.56 (step @p4047 :rule trans :premises (@p4046 @p4043)) % 1.33/1.56 (step @p4048 :rule bool-impl-elim :args (@t905 @t3938)) % 1.33/1.56 (step @p4049 :rule cong :premises (@p4048) :args ((forall @t887 (=> @t905 @t3938)))) % 1.33/1.56 (step @p4050 :rule trans :premises (@p4049 @p4047)) % 1.33/1.56 (step @p4051 :rule refl :args ((tptp.in @t953 @t878))) % 1.33/1.56 (step @p4052 :rule refl :args ((tptp.kpair @t4 @t897))) % 1.33/1.56 (step @p4053 :rule cong :premises (@p874 @p3230) :args (@t3936)) % 1.33/1.56 (step @p4054 :rule trans :premises (@p4053 @p4052)) % 1.33/1.56 (step @p4055 :rule cong :premises (@p4054 @p3248) :args (@t3937)) % 1.33/1.56 (step @p4056 :rule trans :premises (@p4055 @p4051)) % 1.33/1.56 (step @p4057 :rule ho_cong :premises (@p1255 @p4054)) % 1.33/1.56 (step @p4058 :rule ho_cong :premises (@p4057 @p3248)) % 1.33/1.56 (step @p4059 :rule cong :premises (@p4058 @p4056) :args ((= (_ (_ tptp.in @t3936) @t878) @t3937))) % 1.33/1.56 (step @p4060 :rule symm :premises (@p4059)) % 1.33/1.56 (step @p4061 :rule refl :args (@t954)) % 1.33/1.56 (step @p4062 :rule eq_resolve :premises (@p4061 @p4060)) % 1.33/1.56 (step @p4063 :rule refl :args (@t632)) % 1.33/1.56 (step @p4064 :rule ho_cong :premises (@p4063 @p3230)) % 1.33/1.56 (step @p4065 :rule cong :premises (@p4064 @p4054) :args ((= (_ @t632 @t1884) @t3936))) % 1.33/1.56 (step @p4066 :rule symm :premises (@p4065)) % 1.33/1.56 (step @p4067 :rule refl :args (@t953)) % 1.33/1.56 (step @p4068 :rule eq_resolve :premises (@p4067 @p4066)) % 1.33/1.56 (step @p4069 :rule ho_cong :premises (@p4063 @p3244)) % 1.33/1.56 (step @p4070 :rule trans :premises (@p4069 @p4068)) % 1.33/1.56 (step @p4071 :rule ho_cong :premises (@p1255 @p4070)) % 1.33/1.56 (step @p4072 :rule ho_cong :premises (@p4071 @p3248)) % 1.33/1.56 (step @p4073 :rule trans :premises (@p4072 @p4062)) % 1.33/1.56 (step @p4074 :rule nary_cong :premises (@p910 @p4073) :args (@t3940)) % 1.33/1.56 (step @p4075 :rule cong :premises (@p4074) :args ((forall @t9 @t3940))) % 1.33/1.56 (step @p4076 :rule bool-impl-elim :args (@t7 @t954)) % 1.33/1.56 (step @p4077 :rule cong :premises (@p4076) :args (@t955)) % 1.33/1.56 (step @p4078 :rule trans :premises (@p4077 @p4075)) % 1.33/1.56 (step @p4079 :rule cong :premises (@p3273 @p4078) :args (@t959)) % 1.33/1.56 (step @p4080 :rule cong :premises (@p4079) :args (@t960)) % 1.33/1.56 (step @p4081 :rule trans :premises (@p4080 @p4050)) % 1.33/1.56 (step @p4082 :rule refl :args (tptp.funcGraphProp3)) % 1.33/1.56 (step @p4083 :rule cong :premises (@p4082 @p4081) :args (@t961)) % 1.33/1.56 (step @p4084 :rule eq_resolve :premises (@p202 @p4083)) % 1.33/1.56 (step @p4085 :rule cong :premises (@p4084 @p4032) :args (@t3941)) % 1.33/1.56 (step @p4086 :rule aci_norm :args ((= @t3943 @t1986))) % 1.33/1.56 (step @p4087 :rule cong :premises (@p4086) :args (@t3944)) % 1.33/1.56 (step @p4088 :rule quant-merge-prenex :args ((= (forall @t887 @t3946) @t3944))) % 1.33/1.56 (step @p4089 :rule alpha_equiv :args (@t3947 (@list @t1983) @t2902)) % 1.33/1.56 (step @p4090 :rule nary_cong :premises (@p3523 @p4089) :args (@t3948)) % 1.33/1.56 (step @p4091 :rule quant-miniscope-or :args ((= @t3946 @t3948))) % 1.33/1.56 (step @p4092 :rule trans :premises (@p4091 @p4090)) % 1.33/1.56 (step @p4093 :rule symm :premises (@p4092)) % 1.33/1.56 (step @p4094 :rule cong :premises (@p4093) :args ((forall @t887 (or @t1904 @t3938)))) % 1.33/1.56 (step @p4095 :rule trans :premises (@p4094 @p4088)) % 1.33/1.56 (step @p4096 :rule trans :premises (@p4095 @p4087)) % 1.33/1.56 (step @p4097 :rule nary_cong :premises (@p3398 @p4044) :args (@t3949)) % 1.33/1.56 (step @p4098 :rule cong :premises (@p4097) :args ((forall @t887 @t3949))) % 1.33/1.56 (step @p4099 :rule trans :premises (@p4098 @p4096)) % 1.33/1.56 (step @p4100 :rule bool-impl-elim :args (@t885 @t3938)) % 1.33/1.56 (step @p4101 :rule cong :premises (@p4100) :args ((forall @t887 (=> @t885 @t3938)))) % 1.33/1.56 (step @p4102 :rule trans :premises (@p4101 @p4099)) % 1.33/1.56 (step @p4103 :rule cong :premises (@p3404 @p4078) :args (@t956)) % 1.33/1.56 (step @p4104 :rule cong :premises (@p4103) :args (@t957)) % 1.33/1.56 (step @p4105 :rule trans :premises (@p4104 @p4102)) % 1.33/1.56 (step @p4106 :rule refl :args (tptp.funcGraphProp1)) % 1.33/1.56 (step @p4107 :rule cong :premises (@p4106 @p4105) :args (@t958)) % 1.33/1.56 (step @p4108 :rule eq_resolve :premises (@p201 @p4107)) % 1.33/1.56 (step @p4109 :rule cong :premises (@p4108 @p4085) :args (@t3950)) % 1.33/1.56 (step @p4110 :rule aci_norm :args ((= @t3952 @t1999))) % 1.33/1.56 (step @p4111 :rule cong :premises (@p4110) :args (@t3953)) % 1.33/1.56 (step @p4112 :rule quant-merge-prenex :args ((= (forall @t311 @t3955) @t3953))) % 1.33/1.56 (step @p4113 :rule alpha_equiv :args (@t3956 (@list @t1990 @t1989) (@list @t4 @t2154))) % 1.33/1.56 (step @p4114 :rule refl :args (@t1998)) % 1.33/1.56 (step @p4115 :rule nary_cong :premises (@p4114 @p4113) :args (@t3957)) % 1.33/1.56 (step @p4116 :rule quant-miniscope-or :args ((= @t3955 @t3957))) % 1.33/1.56 (step @p4117 :rule trans :premises (@p4116 @p4115)) % 1.33/1.56 (step @p4118 :rule symm :premises (@p4117)) % 1.33/1.56 (step @p4119 :rule cong :premises (@p4118) :args ((forall @t311 (or @t1998 @t2162)))) % 1.33/1.56 (step @p4120 :rule trans :premises (@p4119 @p4112)) % 1.33/1.56 (step @p4121 :rule trans :premises (@p4120 @p4111)) % 1.33/1.56 (step @p4122 :rule refl :args (@t2162)) % 1.33/1.56 (step @p4123 :rule lambda-elim :args ((= @t3958 @t143))) % 1.33/1.56 (step @p4124 :rule cong :premises (@p2773 @p4123) :args (@t3959)) % 1.33/1.56 (step @p4125 :rule cong :premises (@p4124) :args (@t3960)) % 1.33/1.56 (step @p4126 :rule cong :premises (@p4125) :args (@t3961)) % 1.33/1.56 (step @p4127 :rule nary_cong :premises (@p4126 @p4122) :args (@t3962)) % 1.33/1.56 (step @p4128 :rule cong :premises (@p4127) :args ((forall @t311 @t3962))) % 1.33/1.56 (step @p4129 :rule trans :premises (@p4128 @p4121)) % 1.33/1.56 (step @p4130 :rule refl :args (@t2162)) % 1.33/1.56 (step @p4131 :rule refl :args ((tptp.singleton @t306))) % 1.33/1.56 (step @p4132 :rule refl :args ((tptp.dsetconstr @t2 @t145))) % 1.33/1.56 (step @p4133 :rule refl :args (@t2158)) % 1.33/1.56 (step @p4134 :rule cong :premises (@p4133) :args (@t3958)) % 1.33/1.56 (step @p4135 :rule cong :premises (@p1248 @p4134) :args (@t3959)) % 1.33/1.56 (step @p4136 :rule trans :premises (@p4135 @p4132)) % 1.33/1.56 (step @p4137 :rule cong :premises (@p4136) :args (@t3960)) % 1.33/1.56 (step @p4138 :rule trans :premises (@p4137 @p4131)) % 1.33/1.56 (step @p4139 :rule ho_cong :premises (@p2801 @p4136)) % 1.33/1.56 (step @p4140 :rule cong :premises (@p4139 @p4138) :args ((= (_ tptp.singleton @t3959) @t3960))) % 1.33/1.56 (step @p4141 :rule symm :premises (@p4140)) % 1.33/1.56 (step @p4142 :rule refl :args (@t716)) % 1.33/1.56 (step @p4143 :rule eq_resolve :premises (@p4142 @p4141)) % 1.33/1.56 (step @p4144 :rule refl :args (@t155)) % 1.33/1.56 (step @p4145 :rule ho_cong :premises (@p4144 @p4134)) % 1.33/1.56 (step @p4146 :rule cong :premises (@p4145 @p4136) :args ((= (_ @t155 @t3958) @t3959))) % 1.33/1.56 (step @p4147 :rule symm :premises (@p4146)) % 1.33/1.56 (step @p4148 :rule refl :args (@t306)) % 1.33/1.56 (step @p4149 :rule eq_resolve :premises (@p4148 @p4147)) % 1.33/1.56 (step @p4150 :rule refl :args (@t144)) % 1.33/1.56 (step @p4151 :rule cong :premises (@p4150 @p4133) :args ((= @t144 @t2158))) % 1.33/1.56 (step @p4152 :rule symm :premises (@p4151)) % 1.33/1.56 (step @p4153 :rule eq_resolve :premises (@p4150 @p4152)) % 1.33/1.56 (step @p4154 :rule cong :premises (@p4153) :args (@t145)) % 1.33/1.56 (step @p4155 :rule ho_cong :premises (@p4144 @p4154)) % 1.33/1.56 (step @p4156 :rule trans :premises (@p4155 @p4149)) % 1.33/1.56 (step @p4157 :rule ho_cong :premises (@p2801 @p4156)) % 1.33/1.56 (step @p4158 :rule trans :premises (@p4157 @p4143)) % 1.33/1.56 (step @p4159 :rule cong :premises (@p4158) :args (@t3963)) % 1.33/1.56 (step @p4160 :rule nary_cong :premises (@p4159 @p4130) :args (@t3964)) % 1.33/1.56 (step @p4161 :rule cong :premises (@p4160) :args ((forall @t311 @t3964))) % 1.33/1.56 (step @p4162 :rule trans :premises (@p4161 @p4129)) % 1.33/1.56 (step @p4163 :rule bool-impl-elim :args (@t716 @t2162)) % 1.33/1.56 (step @p4164 :rule cong :premises (@p4163) :args ((forall @t311 (=> @t716 @t2162)))) % 1.33/1.56 (step @p4165 :rule trans :premises (@p4164 @p4162)) % 1.33/1.56 (step @p4166 :rule aci_norm :args ((= @t3966 @t2160))) % 1.33/1.56 (step @p4167 :rule cong :premises (@p4166) :args (@t3967)) % 1.33/1.56 (step @p4168 :rule quant-merge-prenex :args ((= (forall @t9 @t3969) @t3967))) % 1.33/1.56 (step @p4169 :rule alpha_equiv :args (@t3970 (@list @t2154) @t3417)) % 1.33/1.56 (step @p4170 :rule refl :args (@t2159)) % 1.33/1.56 (step @p4171 :rule nary_cong :premises (@p2450 @p4170 @p4169) :args (@t3971)) % 1.33/1.56 (step @p4172 :rule quant-miniscope-or :args ((= @t3969 @t3971))) % 1.33/1.56 (step @p4173 :rule trans :premises (@p4172 @p4171)) % 1.33/1.56 (step @p4174 :rule symm :premises (@p4173)) % 1.33/1.56 (step @p4175 :rule cong :premises (@p4174) :args ((forall @t9 (or @t1795 @t2159 @t2171)))) % 1.33/1.56 (step @p4176 :rule trans :premises (@p4175 @p4168)) % 1.33/1.56 (step @p4177 :rule trans :premises (@p4176 @p4167)) % 1.33/1.56 (step @p4178 :rule refl :args (@t2171)) % 1.33/1.56 (step @p4179 :rule cong :premises (@p4153) :args (@t317)) % 1.33/1.56 (step @p4180 :rule nary_cong :premises (@p910 @p4179 @p4178) :args (@t3972)) % 1.33/1.56 (step @p4181 :rule cong :premises (@p4180) :args ((forall @t9 @t3972))) % 1.33/1.56 (step @p4182 :rule trans :premises (@p4181 @p4177)) % 1.33/1.56 (step @p4183 :rule aci_norm :args ((= (or @t197 @t3973) @t3972))) % 1.33/1.56 (step @p4184 :rule bool-impl-elim :args (@t7 @t3973)) % 1.33/1.56 (step @p4185 :rule trans :premises (@p4184 @p4183)) % 1.33/1.56 (step @p4186 :rule cong :premises (@p4185) :args ((forall @t9 (=> @t7 @t3973)))) % 1.33/1.56 (step @p4187 :rule trans :premises (@p4186 @p4182)) % 1.33/1.56 (step @p4188 :rule refl :args (@t129)) % 1.33/1.56 (step @p4189 :rule refl :args (@t2167)) % 1.33/1.56 (step @p4190 :rule refl :args (@t153)) % 1.33/1.56 (step @p4191 :rule cong :premises (@p4190 @p4189) :args ((= @t153 @t2167))) % 1.33/1.56 (step @p4192 :rule symm :premises (@p4191)) % 1.33/1.56 (step @p4193 :rule eq_resolve :premises (@p4190 @p4192)) % 1.33/1.56 (step @p4194 :rule cong :premises (@p4193) :args (@t3974)) % 1.33/1.56 (step @p4195 :rule nary_cong :premises (@p2503 @p4194 @p4188) :args (@t3975)) % 1.33/1.56 (step @p4196 :rule cong :premises (@p4195) :args (@t3976)) % 1.33/1.56 (step @p4197 :rule refl :args (@t317)) % 1.33/1.56 (step @p4198 :rule nary_cong :premises (@p4197 @p4196) :args (@t3977)) % 1.33/1.56 (step @p4199 :rule quant-miniscope-or :args ((= (forall @t70 @t3978) @t3977))) % 1.33/1.56 (step @p4200 :rule aci_norm :args ((= @t3979 @t3978))) % 1.33/1.56 (step @p4201 :rule cong :premises (@p4200) :args ((forall @t70 @t3979))) % 1.33/1.56 (step @p4202 :rule trans :premises (@p4201 @p4199)) % 1.33/1.56 (step @p4203 :rule trans :premises (@p4202 @p4198)) % 1.33/1.56 (step @p4204 :rule aci_norm :args ((= (or @t3424 @t3980) @t3979))) % 1.33/1.56 (step @p4205 :rule aci_norm :args ((= (or @t317 @t3981) @t3980))) % 1.33/1.56 (step @p4206 :rule bool-impl-elim :args (@t153 @t129)) % 1.33/1.56 (step @p4207 :rule refl :args (@t317)) % 1.33/1.56 (step @p4208 :rule nary_cong :premises (@p4207 @p4206) :args ((or @t317 @t166))) % 1.33/1.56 (step @p4209 :rule trans :premises (@p4208 @p4205)) % 1.33/1.56 (step @p4210 :rule bool-impl-elim :args (@t144 @t166)) % 1.33/1.56 (step @p4211 :rule trans :premises (@p4210 @p4209)) % 1.33/1.56 (step @p4212 :rule nary_cong :premises (@p2577 @p4211) :args ((or @t3424 @t345))) % 1.33/1.56 (step @p4213 :rule trans :premises (@p4212 @p4204)) % 1.33/1.56 (step @p4214 :rule bool-impl-elim :args (@t21 @t345)) % 1.33/1.56 (step @p4215 :rule trans :premises (@p4214 @p4213)) % 1.33/1.56 (step @p4216 :rule cong :premises (@p4215) :args (@t718)) % 1.33/1.56 (step @p4217 :rule trans :premises (@p4216 @p4203)) % 1.33/1.56 (step @p4218 :rule cong :premises (@p2509 @p4217) :args (@t719)) % 1.33/1.56 (step @p4219 :rule cong :premises (@p4218) :args (@t720)) % 1.33/1.56 (step @p4220 :rule trans :premises (@p4219 @p4187)) % 1.33/1.56 (step @p4221 :rule beta-reduce :args ((= @t3982 @t144))) % 1.33/1.56 (step @p4222 :rule cong :premises (@p4221) :args (@t3983)) % 1.33/1.56 (step @p4223 :rule ho_cong :premises (@p2824 @p4222)) % 1.33/1.56 (step @p4224 :rule ho_cong :premises (@p2826 @p4223)) % 1.33/1.56 (step @p4225 :rule beta-reduce :args ((= (_ @t3984 @t145) (_ tptp.singleton (_ @t155 @t3983))))) % 1.33/1.56 (step @p4226 :rule trans :premises (@p4225 @p4224)) % 1.33/1.56 (step @p4227 :rule refl :args (@t145)) % 1.33/1.56 (step @p4228 :rule beta-reduce :args ((= @t3985 @t3984))) % 1.33/1.56 (step @p4229 :rule ho_cong :premises (@p4228 @p4227)) % 1.33/1.56 (step @p4230 :rule trans :premises (@p4229 @p4226)) % 1.33/1.56 (step @p4231 :rule cong :premises (@p4230 @p4220) :args (@t3987)) % 1.33/1.56 (step @p4232 :rule cong :premises (@p4231) :args (@t3988)) % 1.33/1.56 (step @p4233 :rule trans :premises (@p4232 @p4165)) % 1.33/1.56 (step @p4234 :rule refl :args (tptp.ex1E2)) % 1.33/1.56 (step @p4235 :rule cong :premises (@p4234 @p4233) :args ((= tptp.ex1E2 @t3988))) % 1.33/1.56 (step @p4236 :rule refl :args (@t720)) % 1.33/1.56 (step @p4237 :rule ho_cong :premises (@p262 @p2773)) % 1.33/1.56 (step @p4238 :rule ho_cong :premises (@p4237 @p4227)) % 1.33/1.56 (step @p4239 :rule cong :premises (@p4238 @p4236) :args (@t950)) % 1.33/1.56 (step @p4240 :rule cong :premises (@p4239) :args (@t951)) % 1.33/1.56 (step @p4241 :rule cong :premises (@p4234 @p4240) :args (@t952)) % 1.33/1.56 (step @p4242 :rule trans :premises (@p4241 @p4235)) % 1.33/1.56 (step @p4243 :rule eq_resolve :premises (@p200 @p4242)) % 1.33/1.56 (step @p4244 :rule cong :premises (@p4243 @p4109) :args (@t3989)) % 1.33/1.56 (step @p4245 :rule aci_norm :args ((= @t3991 @t2012))) % 1.33/1.56 (step @p4246 :rule cong :premises (@p4245) :args (@t3992)) % 1.33/1.56 (step @p4247 :rule quant-merge-prenex :args ((= (forall @t946 @t3994) @t3992))) % 1.33/1.56 (step @p4248 :rule alpha_equiv :args (@t3995 (@list @t2003 @t2002) (@list @t143 @t3996))) % 1.33/1.56 (step @p4249 :rule nary_cong :premises (@p3569 @p4248) :args (@t3997)) % 1.33/1.56 (step @p4250 :rule quant-miniscope-or :args ((= @t3994 @t3997))) % 1.33/1.56 (step @p4251 :rule trans :premises (@p4250 @p4249)) % 1.33/1.56 (step @p4252 :rule symm :premises (@p4251)) % 1.33/1.56 (step @p4253 :rule cong :premises (@p4252) :args ((forall @t946 (or @t1937 @t4006)))) % 1.33/1.56 (step @p4254 :rule trans :premises (@p4253 @p4247)) % 1.33/1.56 (step @p4255 :rule trans :premises (@p4254 @p4246)) % 1.33/1.56 (step @p4256 :rule refl :args (@t4006)) % 1.33/1.56 (step @p4257 :rule nary_cong :premises (@p3595 @p4256) :args (@t4007)) % 1.33/1.56 (step @p4258 :rule cong :premises (@p4257) :args ((forall @t946 @t4007))) % 1.33/1.56 (step @p4259 :rule trans :premises (@p4258 @p4255)) % 1.33/1.56 (step @p4260 :rule bool-impl-elim :args (@t3771 @t4006)) % 1.33/1.56 (step @p4261 :rule cong :premises (@p4260) :args ((forall @t946 (=> @t3771 @t4006)))) % 1.33/1.56 (step @p4262 :rule trans :premises (@p4261 @p4259)) % 1.33/1.56 (step @p4263 :rule aci_norm :args ((= @t4009 @t4004))) % 1.33/1.56 (step @p4264 :rule cong :premises (@p4263) :args (@t4010)) % 1.33/1.56 (step @p4265 :rule quant-merge-prenex :args ((= (forall @t150 @t4012) @t4010))) % 1.33/1.56 (step @p4266 :rule alpha_equiv :args (@t4013 (@list @t3996) @t2902)) % 1.33/1.56 (step @p4267 :rule refl :args (@t4003)) % 1.33/1.56 (step @p4268 :rule nary_cong :premises (@p4267 @p4266) :args (@t4014)) % 1.33/1.56 (step @p4269 :rule quant-miniscope-or :args ((= @t4012 @t4014))) % 1.33/1.56 (step @p4270 :rule trans :premises (@p4269 @p4268)) % 1.33/1.56 (step @p4271 :rule symm :premises (@p4270)) % 1.33/1.56 (step @p4272 :rule cong :premises (@p4271) :args ((forall @t150 (or @t4003 @t4016)))) % 1.33/1.56 (step @p4273 :rule trans :premises (@p4272 @p4265)) % 1.33/1.56 (step @p4274 :rule trans :premises (@p4273 @p4264)) % 1.33/1.56 (step @p4275 :rule bool-impl-elim :args (@t4002 @t4016)) % 1.33/1.56 (step @p4276 :rule cong :premises (@p4275) :args ((forall @t150 (=> @t4002 @t4016)))) % 1.33/1.56 (step @p4277 :rule trans :premises (@p4276 @p4274)) % 1.33/1.56 (step @p4278 :rule refl :args (@t4015)) % 1.33/1.56 (step @p4279 :rule refl :args (@t934)) % 1.33/1.56 (step @p4280 :rule cong :premises (@p4279 @p4278) :args ((= @t934 @t4015))) % 1.33/1.56 (step @p4281 :rule symm :premises (@p4280)) % 1.33/1.56 (step @p4282 :rule eq_resolve :premises (@p4279 @p4281)) % 1.33/1.56 (step @p4283 :rule cong :premises (@p4282) :args (@t4017)) % 1.33/1.56 (step @p4284 :rule nary_cong :premises (@p4283 @p4153) :args (@t4018)) % 1.33/1.56 (step @p4285 :rule cong :premises (@p4284) :args ((forall @t9 @t4018))) % 1.33/1.56 (step @p4286 :rule bool-impl-elim :args (@t934 @t144)) % 1.33/1.56 (step @p4287 :rule cong :premises (@p4286) :args (@t935)) % 1.33/1.56 (step @p4288 :rule trans :premises (@p4287 @p4285)) % 1.33/1.56 (step @p4289 :rule aci_norm :args ((= @t4020 @t4001))) % 1.33/1.56 (step @p4290 :rule cong :premises (@p4289) :args (@t4021)) % 1.33/1.56 (step @p4291 :rule quant-merge-prenex :args ((= (forall @t9 @t4023) @t4021))) % 1.33/1.56 (step @p4292 :rule alpha_equiv :args (@t4024 (@list @t2006) @t3417)) % 1.33/1.56 (step @p4293 :rule nary_cong :premises (@p2450 @p4292) :args (@t4025)) % 1.33/1.56 (step @p4294 :rule quant-miniscope-or :args ((= @t4023 @t4025))) % 1.33/1.56 (step @p4295 :rule trans :premises (@p4294 @p4293)) % 1.33/1.56 (step @p4296 :rule symm :premises (@p4295)) % 1.33/1.56 (step @p4297 :rule cong :premises (@p4296) :args ((forall @t9 (or @t1795 @t4027)))) % 1.33/1.56 (step @p4298 :rule trans :premises (@p4297 @p4291)) % 1.33/1.56 (step @p4299 :rule trans :premises (@p4298 @p4290)) % 1.33/1.56 (step @p4300 :rule refl :args (@t4027)) % 1.33/1.56 (step @p4301 :rule nary_cong :premises (@p910 @p4300) :args (@t4028)) % 1.33/1.56 (step @p4302 :rule cong :premises (@p4301) :args ((forall @t9 @t4028))) % 1.33/1.56 (step @p4303 :rule trans :premises (@p4302 @p4299)) % 1.33/1.56 (step @p4304 :rule bool-impl-elim :args (@t7 @t4027)) % 1.33/1.56 (step @p4305 :rule cong :premises (@p4304) :args ((forall @t9 (=> @t7 @t4027)))) % 1.33/1.56 (step @p4306 :rule trans :premises (@p4305 @p4303)) % 1.33/1.56 (step @p4307 :rule refl :args ((_ @t143 @t633))) % 1.33/1.56 (step @p4308 :rule cong :premises (@p3654) :args (@t4026)) % 1.33/1.56 (step @p4309 :rule trans :premises (@p4308 @p4307)) % 1.33/1.56 (step @p4310 :rule refl :args (@t143)) % 1.33/1.56 (step @p4311 :rule ho_cong :premises (@p4310 @p3654)) % 1.33/1.56 (step @p4312 :rule cong :premises (@p4311 @p4309) :args ((= (_ @t143 @t2050) @t4026))) % 1.33/1.56 (step @p4313 :rule symm :premises (@p4312)) % 1.33/1.56 (step @p4314 :rule refl :args (@t936)) % 1.33/1.56 (step @p4315 :rule eq_resolve :premises (@p4314 @p4313)) % 1.33/1.56 (step @p4316 :rule ho_cong :premises (@p4310 @p3666)) % 1.33/1.56 (step @p4317 :rule trans :premises (@p4316 @p4315)) % 1.33/1.56 (step @p4318 :rule nary_cong :premises (@p3686 @p3720 @p4317) :args (@t4029)) % 1.33/1.56 (step @p4319 :rule cong :premises (@p4318) :args ((forall @t70 @t4029))) % 1.33/1.56 (step @p4320 :rule aci_norm :args ((= (or @t3795 (or @t3807 @t936)) @t4029))) % 1.33/1.56 (step @p4321 :rule bool-impl-elim :args (@t937 @t936)) % 1.33/1.56 (step @p4322 :rule nary_cong :premises (@p3691 @p4321) :args ((or @t3795 @t938))) % 1.33/1.56 (step @p4323 :rule trans :premises (@p4322 @p4320)) % 1.33/1.56 (step @p4324 :rule bool-impl-elim :args (@t354 @t938)) % 1.33/1.56 (step @p4325 :rule trans :premises (@p4324 @p4323)) % 1.33/1.56 (step @p4326 :rule cong :premises (@p4325) :args (@t939)) % 1.33/1.56 (step @p4327 :rule trans :premises (@p4326 @p4319)) % 1.33/1.56 (step @p4328 :rule cong :premises (@p2509 @p4327) :args (@t940)) % 1.33/1.56 (step @p4329 :rule cong :premises (@p4328) :args (@t941)) % 1.33/1.56 (step @p4330 :rule trans :premises (@p4329 @p4306)) % 1.33/1.56 (step @p4331 :rule cong :premises (@p4330 @p4288) :args (@t942)) % 1.33/1.56 (step @p4332 :rule cong :premises (@p4331) :args (@t943)) % 1.33/1.56 (step @p4333 :rule trans :premises (@p4332 @p4277)) % 1.33/1.56 (step @p4334 :rule cong :premises (@p3749 @p4333) :args (@t4030)) % 1.33/1.56 (step @p4335 :rule cong :premises (@p4334) :args (@t4031)) % 1.33/1.56 (step @p4336 :rule trans :premises (@p4335 @p4262)) % 1.33/1.56 (step @p4337 :rule refl :args (tptp.brelnall2)) % 1.33/1.56 (step @p4338 :rule cong :premises (@p4337 @p4336) :args ((= tptp.brelnall2 @t4031))) % 1.33/1.56 (step @p4339 :rule refl :args (@t943)) % 1.33/1.56 (step @p4340 :rule cong :premises (@p3761 @p4339) :args (@t945)) % 1.33/1.56 (step @p4341 :rule cong :premises (@p4340) :args (@t947)) % 1.33/1.56 (step @p4342 :rule cong :premises (@p4337 @p4341) :args (@t949)) % 1.33/1.56 (step @p4343 :rule trans :premises (@p4342 @p4338)) % 1.33/1.56 (step @p4344 :rule eq_resolve :premises (@p199 @p4343)) % 1.33/1.56 (step @p4345 :rule cong :premises (@p4344 @p4244) :args (@t4032)) % 1.33/1.56 (step @p4346 :rule refl :args (tptp.brelnall1)) % 1.33/1.56 (step @p4347 :rule cong :premises (@p4346 @p4336) :args ((= tptp.brelnall1 @t4031))) % 1.33/1.56 (step @p4348 :rule cong :premises (@p4346 @p4341) :args (@t948)) % 1.33/1.56 (step @p4349 :rule trans :premises (@p4348 @p4347)) % 1.33/1.56 (step @p4350 :rule eq_resolve :premises (@p198 @p4349)) % 1.33/1.56 (step @p4351 :rule cong :premises (@p4350 @p4345) :args (@t4033)) % 1.33/1.56 (step @p4352 :rule refl :args (@t1888)) % 1.33/1.56 (step @p4353 :rule lambda-elim :args ((= @t4034 @t913))) % 1.33/1.56 (step @p4354 :rule cong :premises (@p2773 @p3299 @p4353) :args (@t4035)) % 1.33/1.56 (step @p4355 :rule cong :premises (@p4354 @p4352) :args (@t4036)) % 1.33/1.56 (step @p4356 :rule refl :args (@t1898)) % 1.33/1.56 (step @p4357 :rule nary_cong :premises (@p4356 @p4355) :args (@t4037)) % 1.33/1.56 (step @p4358 :rule cong :premises (@p4357) :args ((forall @t919 @t4037))) % 1.33/1.56 (step @p4359 :rule refl :args ((tptp.in @t924 @t903))) % 1.33/1.56 (step @p4360 :rule refl :args ((tptp.lam @t2 @t1 @t922))) % 1.33/1.56 (step @p4361 :rule cong :premises (@p3336) :args (@t4034)) % 1.33/1.56 (step @p4362 :rule cong :premises (@p1248 @p3232 @p4361) :args (@t4035)) % 1.33/1.56 (step @p4363 :rule trans :premises (@p4362 @p4360)) % 1.33/1.56 (step @p4364 :rule cong :premises (@p4363 @p3251) :args (@t4036)) % 1.33/1.56 (step @p4365 :rule trans :premises (@p4364 @p4359)) % 1.33/1.56 (step @p4366 :rule ho_cong :premises (@p1255 @p4363)) % 1.33/1.56 (step @p4367 :rule ho_cong :premises (@p4366 @p3251)) % 1.33/1.56 (step @p4368 :rule cong :premises (@p4367 @p4365) :args ((= (_ (_ tptp.in @t4035) @t1888) @t4036))) % 1.33/1.56 (step @p4369 :rule symm :premises (@p4368)) % 1.33/1.56 (step @p4370 :rule refl :args (@t929)) % 1.33/1.56 (step @p4371 :rule eq_resolve :premises (@p4370 @p4369)) % 1.33/1.56 (step @p4372 :rule ho_cong :premises (@p3235 @p4361)) % 1.33/1.56 (step @p4373 :rule cong :premises (@p4372 @p4363) :args ((= (_ @t923 @t4034) @t4035))) % 1.33/1.56 (step @p4374 :rule symm :premises (@p4373)) % 1.33/1.56 (step @p4375 :rule refl :args (@t924)) % 1.33/1.56 (step @p4376 :rule eq_resolve :premises (@p4375 @p4374)) % 1.33/1.56 (step @p4377 :rule cong :premises (@p3340) :args (@t922)) % 1.33/1.56 (step @p4378 :rule ho_cong :premises (@p3235 @p4377)) % 1.33/1.56 (step @p4379 :rule trans :premises (@p4378 @p4376)) % 1.33/1.56 (step @p4380 :rule ho_cong :premises (@p1255 @p4379)) % 1.33/1.56 (step @p4381 :rule ho_cong :premises (@p4380 @p3263)) % 1.33/1.56 (step @p4382 :rule trans :premises (@p4381 @p4371)) % 1.33/1.56 (step @p4383 :rule nary_cong :premises (@p3287 @p4382) :args (@t4038)) % 1.33/1.56 (step @p4384 :rule cong :premises (@p4383) :args ((forall @t919 @t4038))) % 1.33/1.56 (step @p4385 :rule trans :premises (@p4384 @p4358)) % 1.33/1.56 (step @p4386 :rule bool-impl-elim :args (@t1897 @t929)) % 1.33/1.56 (step @p4387 :rule cong :premises (@p4386) :args ((forall @t919 (=> @t1897 @t929)))) % 1.33/1.56 (step @p4388 :rule trans :premises (@p4387 @p4385)) % 1.33/1.56 (step @p4389 :rule refl :args (@t929)) % 1.33/1.56 (step @p4390 :rule cong :premises (@p3368 @p4389) :args (@t930)) % 1.33/1.56 (step @p4391 :rule cong :premises (@p4390) :args (@t931)) % 1.33/1.56 (step @p4392 :rule trans :premises (@p4391 @p4388)) % 1.33/1.56 (step @p4393 :rule refl :args (tptp.lam2p)) % 1.33/1.56 (step @p4394 :rule cong :premises (@p4393 @p4392) :args (@t932)) % 1.33/1.56 (step @p4395 :rule eq_resolve :premises (@p197 @p4394)) % 1.33/1.56 (step @p4396 :rule cong :premises (@p4395 @p4351) :args (@t4039)) % 1.33/1.56 (step @p4397 :rule cong :premises (@p2773 @p3299 @p4354) :args (@t4040)) % 1.33/1.56 (step @p4398 :rule nary_cong :premises (@p4356 @p4397) :args (@t4041)) % 1.33/1.56 (step @p4399 :rule cong :premises (@p4398) :args ((forall @t919 @t4041))) % 1.33/1.56 (step @p4400 :rule refl :args ((tptp.func @t2 @t1 @t924))) % 1.33/1.56 (step @p4401 :rule cong :premises (@p1248 @p3232 @p4363) :args (@t4040)) % 1.33/1.56 (step @p4402 :rule trans :premises (@p4401 @p4400)) % 1.33/1.56 (step @p4403 :rule refl :args (@t884)) % 1.33/1.56 (step @p4404 :rule ho_cong :premises (@p4403 @p4363)) % 1.33/1.56 (step @p4405 :rule cong :premises (@p4404 @p4402) :args ((= (_ @t884 @t4035) @t4040))) % 1.33/1.56 (step @p4406 :rule symm :premises (@p4405)) % 1.33/1.56 (step @p4407 :rule refl :args (@t925)) % 1.33/1.56 (step @p4408 :rule eq_resolve :premises (@p4407 @p4406)) % 1.33/1.56 (step @p4409 :rule ho_cong :premises (@p4403 @p4379)) % 1.33/1.56 (step @p4410 :rule trans :premises (@p4409 @p4408)) % 1.33/1.56 (step @p4411 :rule nary_cong :premises (@p3287 @p4410) :args (@t4042)) % 1.33/1.56 (step @p4412 :rule cong :premises (@p4411) :args ((forall @t919 @t4042))) % 1.33/1.56 (step @p4413 :rule trans :premises (@p4412 @p4399)) % 1.33/1.56 (step @p4414 :rule bool-impl-elim :args (@t1897 @t925)) % 1.33/1.56 (step @p4415 :rule cong :premises (@p4414) :args ((forall @t919 (=> @t1897 @t925)))) % 1.33/1.56 (step @p4416 :rule trans :premises (@p4415 @p4413)) % 1.33/1.56 (step @p4417 :rule refl :args (@t925)) % 1.33/1.56 (step @p4418 :rule cong :premises (@p3368 @p4417) :args (@t926)) % 1.33/1.56 (step @p4419 :rule cong :premises (@p4418) :args (@t927)) % 1.33/1.56 (step @p4420 :rule trans :premises (@p4419 @p4416)) % 1.33/1.56 (step @p4421 :rule refl :args (tptp.lamp)) % 1.33/1.56 (step @p4422 :rule cong :premises (@p4421 @p4420) :args (@t928)) % 1.33/1.56 (step @p4423 :rule eq_resolve :premises (@p196 @p4422)) % 1.33/1.56 (step @p4424 :rule cong :premises (@p4423 @p4396) :args (@t4043)) % 1.33/1.56 (step @p4425 :rule refl :args ((tptp.func @t2 @t1 @t4046))) % 1.33/1.56 (step @p4426 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t4045))) % 1.33/1.56 (step @p4427 :rule cong :premises (@p2561 @p3336) :args (@t2017)) % 1.33/1.56 (step @p4428 :rule cong :premises (@p4427) :args (@t2018)) % 1.33/1.56 (step @p4429 :rule cong :premises (@p1248 @p3232 @p4428) :args (@t2019)) % 1.33/1.56 (step @p4430 :rule trans :premises (@p4429 @p4426)) % 1.33/1.56 (step @p4431 :rule cong :premises (@p1248 @p3232 @p4430) :args (@t2020)) % 1.33/1.56 (step @p4432 :rule trans :premises (@p4431 @p4425)) % 1.33/1.56 (step @p4433 :rule ho_cong :premises (@p4403 @p4430)) % 1.33/1.56 (step @p4434 :rule cong :premises (@p4433 @p4432) :args ((= (_ @t884 @t2019) @t2020))) % 1.33/1.56 (step @p4435 :rule symm :premises (@p4434)) % 1.33/1.56 (step @p4436 :rule refl :args (@t4047)) % 1.33/1.56 (step @p4437 :rule eq_resolve :premises (@p4436 @p4435)) % 1.33/1.56 (step @p4438 :rule refl :args (@t848)) % 1.33/1.56 (step @p4439 :rule ho_cong :premises (@p4438 @p4428)) % 1.33/1.56 (step @p4440 :rule cong :premises (@p4439 @p4430) :args ((= (_ @t848 @t2018) @t2019))) % 1.33/1.56 (step @p4441 :rule symm :premises (@p4440)) % 1.33/1.56 (step @p4442 :rule refl :args (@t4046)) % 1.33/1.56 (step @p4443 :rule eq_resolve :premises (@p4442 @p4441)) % 1.33/1.56 (step @p4444 :rule cong :premises (@p2561 @p3340) :args (@t4044)) % 1.33/1.56 (step @p4445 :rule cong :premises (@p4444) :args (@t4045)) % 1.33/1.56 (step @p4446 :rule ho_cong :premises (@p4438 @p4445)) % 1.33/1.56 (step @p4447 :rule trans :premises (@p4446 @p4443)) % 1.33/1.56 (step @p4448 :rule ho_cong :premises (@p4403 @p4447)) % 1.33/1.56 (step @p4449 :rule trans :premises (@p4448 @p4437)) % 1.33/1.56 (step @p4450 :rule nary_cong :premises (@p3287 @p4449) :args (@t4048)) % 1.33/1.56 (step @p4451 :rule cong :premises (@p4450) :args ((forall @t919 @t4048))) % 1.33/1.56 (step @p4452 :rule bool-impl-elim :args (@t1897 @t4047)) % 1.33/1.56 (step @p4453 :rule cong :premises (@p4452) :args ((forall @t919 (=> @t1897 @t4047)))) % 1.33/1.56 (step @p4454 :rule trans :premises (@p4453 @p4451)) % 1.33/1.56 (step @p4455 :rule eq-symm :args (@t914 @t19)) % 1.33/1.56 (step @p4456 :rule cong :premises (@p4455) :args (@t915)) % 1.33/1.56 (step @p4457 :rule refl :args (@t848)) % 1.33/1.56 (step @p4458 :rule ho_cong :premises (@p4457 @p4456)) % 1.33/1.56 (step @p4459 :rule refl :args (@t884)) % 1.33/1.56 (step @p4460 :rule ho_cong :premises (@p4459 @p4458)) % 1.33/1.56 (step @p4461 :rule cong :premises (@p3368 @p4460) :args (@t918)) % 1.33/1.56 (step @p4462 :rule cong :premises (@p4461) :args (@t920)) % 1.33/1.56 (step @p4463 :rule trans :premises (@p4462 @p4454)) % 1.33/1.56 (step @p4464 :rule refl :args (tptp.lamProp)) % 1.33/1.56 (step @p4465 :rule cong :premises (@p4464 @p4463) :args (@t921)) % 1.33/1.56 (step @p4466 :rule eq_resolve :premises (@p195 @p4465)) % 1.33/1.56 (step @p4467 :rule cong :premises (@p4466 @p4424) :args (@t4049)) % 1.33/1.56 (step @p4468 :rule nary_cong :premises (@p3398 @p3265) :args (@t4050)) % 1.33/1.56 (step @p4469 :rule cong :premises (@p4468) :args ((forall @t887 @t4050))) % 1.33/1.56 (step @p4470 :rule bool-impl-elim :args (@t885 @t905)) % 1.33/1.56 (step @p4471 :rule cong :premises (@p4470) :args (@t911)) % 1.33/1.56 (step @p4472 :rule trans :premises (@p4471 @p4469)) % 1.33/1.56 (step @p4473 :rule refl :args (tptp.funcinfuncset)) % 1.33/1.56 (step @p4474 :rule cong :premises (@p4473 @p4472) :args (@t912)) % 1.33/1.56 (step @p4475 :rule eq_resolve :premises (@p194 @p4474)) % 1.33/1.56 (step @p4476 :rule cong :premises (@p4475 @p4467) :args (@t4051)) % 1.33/1.56 (step @p4477 :rule aci_norm :args ((= @t4053 @t2026))) % 1.33/1.56 (step @p4478 :rule cong :premises (@p4477) :args (@t4054)) % 1.33/1.56 (step @p4479 :rule quant-merge-prenex :args ((= (forall @t887 @t4056) @t4054))) % 1.33/1.56 (step @p4480 :rule alpha_equiv :args (@t4057 (@list @t2023) @t2902)) % 1.33/1.56 (step @p4481 :rule nary_cong :premises (@p3454 @p4480) :args (@t4058)) % 1.33/1.56 (step @p4482 :rule quant-miniscope-or :args ((= @t4056 @t4058))) % 1.33/1.56 (step @p4483 :rule trans :premises (@p4482 @p4481)) % 1.33/1.56 (step @p4484 :rule symm :premises (@p4483)) % 1.33/1.56 (step @p4485 :rule cong :premises (@p4484) :args ((forall @t887 (or @t1890 @t4060)))) % 1.33/1.56 (step @p4486 :rule trans :premises (@p4485 @p4479)) % 1.33/1.56 (step @p4487 :rule trans :premises (@p4486 @p4478)) % 1.33/1.56 (step @p4488 :rule refl :args (@t4060)) % 1.33/1.56 (step @p4489 :rule nary_cong :premises (@p3266 @p4488) :args (@t4061)) % 1.33/1.56 (step @p4490 :rule cong :premises (@p4489) :args ((forall @t887 @t4061))) % 1.33/1.56 (step @p4491 :rule trans :premises (@p4490 @p4487)) % 1.33/1.56 (step @p4492 :rule bool-impl-elim :args (@t905 @t4060)) % 1.33/1.56 (step @p4493 :rule cong :premises (@p4492) :args ((forall @t887 (=> @t905 @t4060)))) % 1.33/1.56 (step @p4494 :rule trans :premises (@p4493 @p4491)) % 1.33/1.56 (step @p4495 :rule refl :args ((tptp.in @t897 @t1))) % 1.33/1.56 (step @p4496 :rule cong :premises (@p3230 @p3232) :args (@t4059)) % 1.33/1.56 (step @p4497 :rule trans :premises (@p4496 @p4495)) % 1.33/1.56 (step @p4498 :rule ho_cong :premises (@p1255 @p3230)) % 1.33/1.56 (step @p4499 :rule ho_cong :premises (@p4498 @p3232)) % 1.33/1.56 (step @p4500 :rule cong :premises (@p4499 @p4497) :args ((= (_ (_ tptp.in @t1884) @t1) @t4059))) % 1.33/1.56 (step @p4501 :rule symm :premises (@p4500)) % 1.33/1.56 (step @p4502 :rule refl :args (@t898)) % 1.33/1.56 (step @p4503 :rule eq_resolve :premises (@p4502 @p4501)) % 1.33/1.56 (step @p4504 :rule ho_cong :premises (@p1255 @p3244)) % 1.33/1.56 (step @p4505 :rule ho_cong :premises (@p4504 @p3232)) % 1.33/1.56 (step @p4506 :rule trans :premises (@p4505 @p4503)) % 1.33/1.56 (step @p4507 :rule nary_cong :premises (@p910 @p4506) :args (@t4062)) % 1.33/1.56 (step @p4508 :rule cong :premises (@p4507) :args ((forall @t9 @t4062))) % 1.33/1.56 (step @p4509 :rule bool-impl-elim :args (@t7 @t898)) % 1.33/1.56 (step @p4510 :rule cong :premises (@p4509) :args (@t899)) % 1.33/1.56 (step @p4511 :rule trans :premises (@p4510 @p4508)) % 1.33/1.56 (step @p4512 :rule cong :premises (@p3273 @p4511) :args (@t908)) % 1.33/1.56 (step @p4513 :rule cong :premises (@p4512) :args (@t909)) % 1.33/1.56 (step @p4514 :rule trans :premises (@p4513 @p4494)) % 1.33/1.56 (step @p4515 :rule refl :args (tptp.ap2p)) % 1.33/1.56 (step @p4516 :rule cong :premises (@p4515 @p4514) :args (@t910)) % 1.33/1.56 (step @p4517 :rule eq_resolve :premises (@p193 @p4516)) % 1.33/1.56 (step @p4518 :rule cong :premises (@p4517 @p4476) :args (@t4063)) % 1.33/1.56 (step @p4519 :rule nary_cong :premises (@p3266 @p3397) :args (@t4064)) % 1.33/1.56 (step @p4520 :rule cong :premises (@p4519) :args ((forall @t887 @t4064))) % 1.33/1.56 (step @p4521 :rule bool-impl-elim :args (@t905 @t885)) % 1.33/1.56 (step @p4522 :rule cong :premises (@p4521) :args (@t906)) % 1.33/1.56 (step @p4523 :rule trans :premises (@p4522 @p4520)) % 1.33/1.56 (step @p4524 :rule refl :args (tptp.infuncsetfunc)) % 1.33/1.56 (step @p4525 :rule cong :premises (@p4524 @p4523) :args (@t907)) % 1.33/1.56 (step @p4526 :rule eq_resolve :premises (@p192 @p4525)) % 1.33/1.56 (step @p4527 :rule cong :premises (@p4526 @p4518) :args (@t4065)) % 1.33/1.56 (step @p4528 :rule aci_norm :args ((= @t4067 @t2033))) % 1.33/1.56 (step @p4529 :rule cong :premises (@p4528) :args (@t4068)) % 1.33/1.56 (step @p4530 :rule quant-merge-prenex :args ((= (forall @t887 @t4070) @t4068))) % 1.33/1.56 (step @p4531 :rule alpha_equiv :args (@t4071 (@list @t2030) @t2902)) % 1.33/1.56 (step @p4532 :rule nary_cong :premises (@p3523 @p4531) :args (@t4072)) % 1.33/1.56 (step @p4533 :rule quant-miniscope-or :args ((= @t4070 @t4072))) % 1.33/1.56 (step @p4534 :rule trans :premises (@p4533 @p4532)) % 1.33/1.56 (step @p4535 :rule symm :premises (@p4534)) % 1.33/1.56 (step @p4536 :rule cong :premises (@p4535) :args ((forall @t887 (or @t1904 @t4060)))) % 1.33/1.56 (step @p4537 :rule trans :premises (@p4536 @p4530)) % 1.33/1.56 (step @p4538 :rule trans :premises (@p4537 @p4529)) % 1.33/1.56 (step @p4539 :rule nary_cong :premises (@p3398 @p4488) :args (@t4073)) % 1.33/1.56 (step @p4540 :rule cong :premises (@p4539) :args ((forall @t887 @t4073))) % 1.33/1.56 (step @p4541 :rule trans :premises (@p4540 @p4538)) % 1.33/1.56 (step @p4542 :rule bool-impl-elim :args (@t885 @t4060)) % 1.33/1.56 (step @p4543 :rule cong :premises (@p4542) :args ((forall @t887 (=> @t885 @t4060)))) % 1.33/1.56 (step @p4544 :rule trans :premises (@p4543 @p4541)) % 1.33/1.56 (step @p4545 :rule cong :premises (@p3404 @p4511) :args (@t900)) % 1.33/1.56 (step @p4546 :rule cong :premises (@p4545) :args (@t901)) % 1.33/1.56 (step @p4547 :rule trans :premises (@p4546 @p4544)) % 1.33/1.56 (step @p4548 :rule refl :args (tptp.app)) % 1.33/1.56 (step @p4549 :rule cong :premises (@p4548 @p4547) :args (@t902)) % 1.33/1.56 (step @p4550 :rule eq_resolve :premises (@p191 @p4549)) % 1.33/1.56 (step @p4551 :rule cong :premises (@p4550 @p4527) :args (@t4074)) % 1.33/1.56 (step @p4552 :rule aci_norm :args ((= @t4076 @t2039))) % 1.33/1.56 (step @p4553 :rule cong :premises (@p4552) :args (@t4077)) % 1.33/1.56 (step @p4554 :rule quant-merge-prenex :args ((= (forall @t887 @t4079) @t4077))) % 1.33/1.56 (step @p4555 :rule alpha_equiv :args (@t4080 (@list @t2036) @t2902)) % 1.33/1.56 (step @p4556 :rule nary_cong :premises (@p3523 @p4555) :args (@t4081)) % 1.33/1.56 (step @p4557 :rule quant-miniscope-or :args ((= @t4079 @t4081))) % 1.33/1.56 (step @p4558 :rule trans :premises (@p4557 @p4556)) % 1.33/1.56 (step @p4559 :rule symm :premises (@p4558)) % 1.33/1.56 (step @p4560 :rule cong :premises (@p4559) :args ((forall @t887 (or @t1904 @t4086)))) % 1.33/1.56 (step @p4561 :rule trans :premises (@p4560 @p4554)) % 1.33/1.56 (step @p4562 :rule trans :premises (@p4561 @p4553)) % 1.33/1.56 (step @p4563 :rule refl :args (@t4086)) % 1.33/1.56 (step @p4564 :rule nary_cong :premises (@p3398 @p4563) :args (@t4087)) % 1.33/1.56 (step @p4565 :rule cong :premises (@p4564) :args ((forall @t887 @t4087))) % 1.33/1.56 (step @p4566 :rule trans :premises (@p4565 @p4562)) % 1.33/1.56 (step @p4567 :rule bool-impl-elim :args (@t885 @t4086)) % 1.33/1.56 (step @p4568 :rule cong :premises (@p4567) :args ((forall @t887 (=> @t885 @t4086)))) % 1.33/1.56 (step @p4569 :rule trans :premises (@p4568 @p4566)) % 1.33/1.56 (step @p4570 :rule refl :args ((tptp.in @t890 @t1))) % 1.33/1.56 (step @p4571 :rule refl :args ((tptp.setunion @t881))) % 1.33/1.56 (step @p4572 :rule refl :args ((tptp.dsetconstr @t1 @t880))) % 1.33/1.56 (step @p4573 :rule cong :premises (@p3871) :args (@t4082)) % 1.33/1.56 (step @p4574 :rule cong :premises (@p3232 @p4573) :args (@t4083)) % 1.33/1.56 (step @p4575 :rule trans :premises (@p4574 @p4572)) % 1.33/1.56 (step @p4576 :rule cong :premises (@p4575) :args (@t4084)) % 1.33/1.56 (step @p4577 :rule trans :premises (@p4576 @p4571)) % 1.33/1.56 (step @p4578 :rule cong :premises (@p4577 @p3232) :args (@t4085)) % 1.33/1.56 (step @p4579 :rule trans :premises (@p4578 @p4570)) % 1.33/1.56 (step @p4580 :rule ho_cong :premises (@p1255 @p4577)) % 1.33/1.56 (step @p4581 :rule ho_cong :premises (@p4580 @p3232)) % 1.33/1.56 (step @p4582 :rule cong :premises (@p4581 @p4579) :args ((= (_ (_ tptp.in @t4084) @t1) @t4085))) % 1.33/1.56 (step @p4583 :rule symm :premises (@p4582)) % 1.33/1.56 (step @p4584 :rule refl :args (@t891)) % 1.33/1.56 (step @p4585 :rule eq_resolve :premises (@p4584 @p4583)) % 1.33/1.56 (step @p4586 :rule refl :args (tptp.setunion)) % 1.33/1.56 (step @p4587 :rule ho_cong :premises (@p4586 @p4575)) % 1.33/1.56 (step @p4588 :rule cong :premises (@p4587 @p4577) :args ((= (_ tptp.setunion @t4083) @t4084))) % 1.33/1.56 (step @p4589 :rule symm :premises (@p4588)) % 1.33/1.56 (step @p4590 :rule refl :args (@t890)) % 1.33/1.56 (step @p4591 :rule eq_resolve :premises (@p4590 @p4589)) % 1.33/1.56 (step @p4592 :rule refl :args (@t410)) % 1.33/1.56 (step @p4593 :rule ho_cong :premises (@p4592 @p4573)) % 1.33/1.56 (step @p4594 :rule cong :premises (@p4593 @p4575) :args ((= (_ @t410 @t4082) @t4083))) % 1.33/1.56 (step @p4595 :rule symm :premises (@p4594)) % 1.33/1.56 (step @p4596 :rule refl :args (@t881)) % 1.33/1.56 (step @p4597 :rule eq_resolve :premises (@p4596 @p4595)) % 1.33/1.56 (step @p4598 :rule cong :premises (@p3878) :args (@t880)) % 1.33/1.56 (step @p4599 :rule ho_cong :premises (@p4592 @p4598)) % 1.33/1.56 (step @p4600 :rule trans :premises (@p4599 @p4597)) % 1.33/1.56 (step @p4601 :rule ho_cong :premises (@p4586 @p4600)) % 1.33/1.56 (step @p4602 :rule trans :premises (@p4601 @p4591)) % 1.33/1.56 (step @p4603 :rule ho_cong :premises (@p1255 @p4602)) % 1.33/1.56 (step @p4604 :rule ho_cong :premises (@p4603 @p3232)) % 1.33/1.56 (step @p4605 :rule trans :premises (@p4604 @p4585)) % 1.33/1.56 (step @p4606 :rule nary_cong :premises (@p910 @p4605) :args (@t4088)) % 1.33/1.56 (step @p4607 :rule cong :premises (@p4606) :args ((forall @t9 @t4088))) % 1.33/1.56 (step @p4608 :rule bool-impl-elim :args (@t7 @t891)) % 1.33/1.56 (step @p4609 :rule cong :premises (@p4608) :args (@t892)) % 1.33/1.56 (step @p4610 :rule trans :premises (@p4609 @p4607)) % 1.33/1.56 (step @p4611 :rule cong :premises (@p3404 @p4610) :args (@t893)) % 1.33/1.56 (step @p4612 :rule cong :premises (@p4611) :args (@t894)) % 1.33/1.56 (step @p4613 :rule trans :premises (@p4612 @p4569)) % 1.33/1.56 (step @p4614 :rule refl :args (tptp.apProp)) % 1.33/1.56 (step @p4615 :rule cong :premises (@p4614 @p4613) :args (@t895)) % 1.33/1.56 (step @p4616 :rule eq_resolve :premises (@p190 @p4615)) % 1.33/1.56 (step @p4617 :rule cong :premises (@p4616 @p4551) :args (@t4089)) % 1.33/1.56 (step @p4618 :rule aci_norm :args ((= @t4091 @t2045))) % 1.33/1.56 (step @p4619 :rule cong :premises (@p4618) :args (@t4092)) % 1.33/1.56 (step @p4620 :rule quant-merge-prenex :args ((= (forall @t887 @t4094) @t4092))) % 1.33/1.56 (step @p4621 :rule alpha_equiv :args (@t4095 (@list @t2042) @t2902)) % 1.33/1.56 (step @p4622 :rule nary_cong :premises (@p3523 @p4621) :args (@t4096)) % 1.33/1.56 (step @p4623 :rule quant-miniscope-or :args ((= @t4094 @t4096))) % 1.33/1.56 (step @p4624 :rule trans :premises (@p4623 @p4622)) % 1.33/1.56 (step @p4625 :rule symm :premises (@p4624)) % 1.33/1.56 (step @p4626 :rule cong :premises (@p4625) :args ((forall @t887 (or @t1904 @t4098)))) % 1.33/1.56 (step @p4627 :rule trans :premises (@p4626 @p4620)) % 1.33/1.56 (step @p4628 :rule trans :premises (@p4627 @p4619)) % 1.33/1.56 (step @p4629 :rule refl :args (@t4098)) % 1.33/1.56 (step @p4630 :rule nary_cong :premises (@p3398 @p4629) :args (@t4099)) % 1.33/1.56 (step @p4631 :rule cong :premises (@p4630) :args ((forall @t887 @t4099))) % 1.33/1.56 (step @p4632 :rule trans :premises (@p4631 @p4628)) % 1.33/1.56 (step @p4633 :rule bool-impl-elim :args (@t885 @t4098)) % 1.33/1.56 (step @p4634 :rule cong :premises (@p4633) :args ((forall @t887 (=> @t885 @t4098)))) % 1.33/1.56 (step @p4635 :rule trans :premises (@p4634 @p4632)) % 1.33/1.56 (step @p4636 :rule refl :args ((tptp.singleton @t881))) % 1.33/1.56 (step @p4637 :rule cong :premises (@p4575) :args (@t4097)) % 1.33/1.56 (step @p4638 :rule trans :premises (@p4637 @p4636)) % 1.33/1.56 (step @p4639 :rule ho_cong :premises (@p2801 @p4575)) % 1.33/1.56 (step @p4640 :rule cong :premises (@p4639 @p4638) :args ((= (_ tptp.singleton @t4083) @t4097))) % 1.33/1.56 (step @p4641 :rule symm :premises (@p4640)) % 1.33/1.56 (step @p4642 :rule refl :args (@t882)) % 1.33/1.56 (step @p4643 :rule eq_resolve :premises (@p4642 @p4641)) % 1.33/1.56 (step @p4644 :rule ho_cong :premises (@p2801 @p4600)) % 1.33/1.56 (step @p4645 :rule trans :premises (@p4644 @p4643)) % 1.33/1.56 (step @p4646 :rule nary_cong :premises (@p910 @p4645) :args (@t4100)) % 1.33/1.56 (step @p4647 :rule cong :premises (@p4646) :args ((forall @t9 @t4100))) % 1.33/1.56 (step @p4648 :rule bool-impl-elim :args (@t7 @t882)) % 1.33/1.56 (step @p4649 :rule cong :premises (@p4648) :args (@t883)) % 1.33/1.56 (step @p4650 :rule trans :premises (@p4649 @p4647)) % 1.33/1.56 (step @p4651 :rule cong :premises (@p3404 @p4650) :args (@t886)) % 1.33/1.56 (step @p4652 :rule cong :premises (@p4651) :args (@t888)) % 1.33/1.56 (step @p4653 :rule trans :premises (@p4652 @p4635)) % 1.33/1.56 (step @p4654 :rule refl :args (tptp.funcImageSingleton)) % 1.33/1.56 (step @p4655 :rule cong :premises (@p4654 @p4653) :args (@t889)) % 1.33/1.56 (step @p4656 :rule eq_resolve :premises (@p189 @p4655)) % 1.33/1.56 (step @p4657 :rule cong :premises (@p4656 @p4617) :args (@t4101)) % 1.33/1.56 (step @p4658 :rule refl :args (@t2048)) % 1.33/1.56 (step @p4659 :rule lambda-elim :args ((= @t4103 @t67))) % 1.33/1.56 (step @p4660 :rule cong :premises (@p2773 @p3299 @p4659) :args (@t4104)) % 1.33/1.56 (step @p4661 :rule refl :args (@t2050)) % 1.33/1.56 (step @p4662 :rule cong :premises (@p4661 @p4660) :args (@t4105)) % 1.33/1.56 (step @p4663 :rule cong :premises (@p4662) :args (@t4106)) % 1.33/1.56 (step @p4664 :rule nary_cong :premises (@p4663 @p4658) :args (@t4107)) % 1.33/1.56 (step @p4665 :rule cong :premises (@p4664) :args ((forall @t871 @t4107))) % 1.33/1.56 (step @p4666 :rule refl :args (@t2048)) % 1.33/1.56 (step @p4667 :rule refl :args (@t76)) % 1.33/1.56 (step @p4668 :rule cong :premises (@p4667 @p4666) :args ((= @t76 @t2048))) % 1.33/1.56 (step @p4669 :rule symm :premises (@p4668)) % 1.33/1.56 (step @p4670 :rule eq_resolve :premises (@p4667 @p4669)) % 1.33/1.56 (step @p4671 :rule refl :args ((tptp.in @t633 @t849))) % 1.33/1.56 (step @p4672 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t847))) % 1.33/1.56 (step @p4673 :rule refl :args (@t4102)) % 1.33/1.56 (step @p4674 :rule cong :premises (@p4673) :args (@t4103)) % 1.33/1.56 (step @p4675 :rule cong :premises (@p1248 @p3232 @p4674) :args (@t4104)) % 1.33/1.56 (step @p4676 :rule trans :premises (@p4675 @p4672)) % 1.33/1.56 (step @p4677 :rule cong :premises (@p3654 @p4676) :args (@t4105)) % 1.33/1.56 (step @p4678 :rule trans :premises (@p4677 @p4671)) % 1.33/1.56 (step @p4679 :rule ho_cong :premises (@p3657 @p4676)) % 1.33/1.56 (step @p4680 :rule cong :premises (@p4679 @p4678) :args ((= (_ @t3793 @t4104) @t4105))) % 1.33/1.56 (step @p4681 :rule symm :premises (@p4680)) % 1.33/1.56 (step @p4682 :rule refl :args (@t850)) % 1.33/1.56 (step @p4683 :rule eq_resolve :premises (@p4682 @p4681)) % 1.33/1.56 (step @p4684 :rule ho_cong :premises (@p4438 @p4674)) % 1.33/1.56 (step @p4685 :rule cong :premises (@p4684 @p4676) :args ((= (_ @t848 @t4103) @t4104))) % 1.33/1.56 (step @p4686 :rule symm :premises (@p4685)) % 1.33/1.56 (step @p4687 :rule refl :args (@t849)) % 1.33/1.56 (step @p4688 :rule eq_resolve :premises (@p4687 @p4686)) % 1.33/1.56 (step @p4689 :rule refl :args (@t846)) % 1.33/1.56 (step @p4690 :rule cong :premises (@p4689 @p4673) :args ((= @t846 @t4102))) % 1.33/1.56 (step @p4691 :rule symm :premises (@p4690)) % 1.33/1.56 (step @p4692 :rule eq_resolve :premises (@p4689 @p4691)) % 1.33/1.56 (step @p4693 :rule cong :premises (@p4692) :args (@t847)) % 1.33/1.56 (step @p4694 :rule ho_cong :premises (@p4438 @p4693)) % 1.33/1.56 (step @p4695 :rule trans :premises (@p4694 @p4688)) % 1.33/1.56 (step @p4696 :rule ho_cong :premises (@p3667 @p4695)) % 1.33/1.56 (step @p4697 :rule trans :premises (@p4696 @p4683)) % 1.33/1.56 (step @p4698 :rule cong :premises (@p4697) :args (@t4108)) % 1.33/1.56 (step @p4699 :rule nary_cong :premises (@p4698 @p4670) :args (@t4109)) % 1.33/1.56 (step @p4700 :rule cong :premises (@p4699) :args ((forall @t871 @t4109))) % 1.33/1.56 (step @p4701 :rule trans :premises (@p4700 @p4665)) % 1.33/1.56 (step @p4702 :rule bool-impl-elim :args (@t850 @t76)) % 1.33/1.56 (step @p4703 :rule cong :premises (@p4702) :args (@t876)) % 1.33/1.56 (step @p4704 :rule trans :premises (@p4703 @p4701)) % 1.33/1.56 (step @p4705 :rule refl :args (tptp.dpsetconstrER)) % 1.33/1.56 (step @p4706 :rule cong :premises (@p4705 @p4704) :args (@t877)) % 1.33/1.56 (step @p4707 :rule eq_resolve :premises (@p188 @p4706)) % 1.33/1.56 (step @p4708 :rule cong :premises (@p4707 @p4657) :args (@t4110)) % 1.33/1.56 (step @p4709 :rule refl :args (@t2054)) % 1.33/1.56 (step @p4710 :rule nary_cong :premises (@p4663 @p4709) :args (@t4111)) % 1.33/1.56 (step @p4711 :rule cong :premises (@p4710) :args ((forall @t871 @t4111))) % 1.33/1.56 (step @p4712 :rule nary_cong :premises (@p4698 @p3685) :args (@t4112)) % 1.33/1.56 (step @p4713 :rule cong :premises (@p4712) :args ((forall @t871 @t4112))) % 1.33/1.56 (step @p4714 :rule trans :premises (@p4713 @p4711)) % 1.33/1.56 (step @p4715 :rule bool-impl-elim :args (@t850 @t354)) % 1.33/1.56 (step @p4716 :rule cong :premises (@p4715) :args (@t874)) % 1.33/1.56 (step @p4717 :rule trans :premises (@p4716 @p4714)) % 1.33/1.56 (step @p4718 :rule refl :args (tptp.dpsetconstrEL2)) % 1.33/1.56 (step @p4719 :rule cong :premises (@p4718 @p4717) :args (@t875)) % 1.33/1.56 (step @p4720 :rule eq_resolve :premises (@p187 @p4719)) % 1.33/1.56 (step @p4721 :rule cong :premises (@p4720 @p4708) :args (@t4113)) % 1.33/1.56 (step @p4722 :rule refl :args (@t1794)) % 1.33/1.56 (step @p4723 :rule nary_cong :premises (@p4663 @p4722) :args (@t4114)) % 1.33/1.56 (step @p4724 :rule cong :premises (@p4723) :args ((forall @t871 @t4114))) % 1.33/1.56 (step @p4725 :rule nary_cong :premises (@p4698 @p909) :args (@t4115)) % 1.33/1.56 (step @p4726 :rule cong :premises (@p4725) :args ((forall @t871 @t4115))) % 1.33/1.56 (step @p4727 :rule trans :premises (@p4726 @p4724)) % 1.33/1.56 (step @p4728 :rule bool-impl-elim :args (@t850 @t7)) % 1.33/1.56 (step @p4729 :rule cong :premises (@p4728) :args (@t872)) % 1.33/1.56 (step @p4730 :rule trans :premises (@p4729 @p4727)) % 1.33/1.56 (step @p4731 :rule refl :args (tptp.dpsetconstrEL1)) % 1.33/1.56 (step @p4732 :rule cong :premises (@p4731 @p4730) :args (@t873)) % 1.33/1.56 (step @p4733 :rule eq_resolve :premises (@p186 @p4732)) % 1.33/1.56 (step @p4734 :rule cong :premises (@p4733 @p4721) :args (@t4116)) % 1.33/1.56 (step @p4735 :rule aci_norm :args ((= @t4118 @t2061))) % 1.33/1.56 (step @p4736 :rule cong :premises (@p4735) :args (@t4119)) % 1.33/1.56 (step @p4737 :rule quant-merge-prenex :args ((= (forall @t854 @t4121) @t4119))) % 1.33/1.56 (step @p4738 :rule alpha_equiv :args (@t4122 (@list @t2057) @t3417)) % 1.33/1.56 (step @p4739 :rule nary_cong :premises (@p2450 @p4738) :args (@t4123)) % 1.33/1.56 (step @p4740 :rule quant-miniscope-or :args ((= @t4121 @t4123))) % 1.33/1.56 (step @p4741 :rule trans :premises (@p4740 @p4739)) % 1.33/1.56 (step @p4742 :rule symm :premises (@p4741)) % 1.33/1.56 (step @p4743 :rule cong :premises (@p4742) :args ((forall @t854 (or @t1795 @t4124)))) % 1.33/1.56 (step @p4744 :rule trans :premises (@p4743 @p4737)) % 1.33/1.56 (step @p4745 :rule trans :premises (@p4744 @p4736)) % 1.33/1.56 (step @p4746 :rule refl :args (@t4124)) % 1.33/1.56 (step @p4747 :rule nary_cong :premises (@p910 @p4746) :args (@t4125)) % 1.33/1.56 (step @p4748 :rule cong :premises (@p4747) :args ((forall @t854 @t4125))) % 1.33/1.56 (step @p4749 :rule trans :premises (@p4748 @p4745)) % 1.33/1.56 (step @p4750 :rule bool-impl-elim :args (@t7 @t4124)) % 1.33/1.56 (step @p4751 :rule cong :premises (@p4750) :args ((forall @t854 (=> @t7 @t4124)))) % 1.33/1.56 (step @p4752 :rule trans :premises (@p4751 @p4749)) % 1.33/1.56 (step @p4753 :rule refl :args (@t3790)) % 1.33/1.56 (step @p4754 :rule nary_cong :premises (@p4753 @p4663 @p4658) :args (@t4126)) % 1.33/1.56 (step @p4755 :rule cong :premises (@p4754) :args ((forall @t70 @t4126))) % 1.33/1.56 (step @p4756 :rule nary_cong :premises (@p3686 @p4698 @p4670) :args (@t4127)) % 1.33/1.56 (step @p4757 :rule cong :premises (@p4756) :args ((forall @t70 @t4127))) % 1.33/1.56 (step @p4758 :rule trans :premises (@p4757 @p4755)) % 1.33/1.56 (step @p4759 :rule aci_norm :args ((= (or @t3795 @t4109) @t4127))) % 1.33/1.56 (step @p4760 :rule nary_cong :premises (@p3691 @p4702) :args ((or @t3795 @t866))) % 1.33/1.56 (step @p4761 :rule trans :premises (@p4760 @p4759)) % 1.33/1.56 (step @p4762 :rule bool-impl-elim :args (@t354 @t866)) % 1.33/1.56 (step @p4763 :rule trans :premises (@p4762 @p4761)) % 1.33/1.56 (step @p4764 :rule cong :premises (@p4763) :args (@t867)) % 1.33/1.56 (step @p4765 :rule trans :premises (@p4764 @p4758)) % 1.33/1.56 (step @p4766 :rule cong :premises (@p2509 @p4765) :args (@t868)) % 1.33/1.56 (step @p4767 :rule cong :premises (@p4766) :args (@t869)) % 1.33/1.56 (step @p4768 :rule trans :premises (@p4767 @p4752)) % 1.33/1.56 (step @p4769 :rule refl :args (tptp.dpsetconstrERa)) % 1.33/1.56 (step @p4770 :rule cong :premises (@p4769 @p4768) :args (@t870)) % 1.33/1.56 (step @p4771 :rule eq_resolve :premises (@p185 @p4770)) % 1.33/1.56 (step @p4772 :rule cong :premises (@p4771 @p4734) :args (@t4128)) % 1.33/1.56 (step @p4773 :rule refl :args (@t1934)) % 1.33/1.56 (step @p4774 :rule lambda-elim :args ((= @t4129 @t67))) % 1.33/1.56 (step @p4775 :rule cong :premises (@p2773 @p3299 @p4774) :args (@t4130)) % 1.33/1.56 (step @p4776 :rule cong :premises (@p4775 @p4773) :args (@t4131)) % 1.33/1.56 (step @p4777 :rule cong :premises (@p4776) :args ((forall @t860 @t4131))) % 1.33/1.56 (step @p4778 :rule refl :args ((tptp.subset @t858 @t675))) % 1.33/1.56 (step @p4779 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t857))) % 1.33/1.56 (step @p4780 :rule cong :premises (@p4666) :args (@t4129)) % 1.33/1.56 (step @p4781 :rule cong :premises (@p1248 @p3232 @p4780) :args (@t4130)) % 1.33/1.56 (step @p4782 :rule trans :premises (@p4781 @p4779)) % 1.33/1.56 (step @p4783 :rule cong :premises (@p4782 @p3579) :args (@t4131)) % 1.33/1.56 (step @p4784 :rule trans :premises (@p4783 @p4778)) % 1.33/1.56 (step @p4785 :rule ho_cong :premises (@p1314 @p4782)) % 1.33/1.56 (step @p4786 :rule ho_cong :premises (@p4785 @p3579)) % 1.33/1.56 (step @p4787 :rule cong :premises (@p4786 @p4784) :args ((= (_ (_ tptp.subset @t4130) @t1934) @t4131))) % 1.33/1.56 (step @p4788 :rule symm :premises (@p4787)) % 1.33/1.56 (step @p4789 :rule refl :args (@t859)) % 1.33/1.56 (step @p4790 :rule eq_resolve :premises (@p4789 @p4788)) % 1.33/1.56 (step @p4791 :rule ho_cong :premises (@p4438 @p4780)) % 1.33/1.56 (step @p4792 :rule cong :premises (@p4791 @p4782) :args ((= (_ @t848 @t4129) @t4130))) % 1.33/1.56 (step @p4793 :rule symm :premises (@p4792)) % 1.33/1.56 (step @p4794 :rule refl :args (@t858)) % 1.33/1.56 (step @p4795 :rule eq_resolve :premises (@p4794 @p4793)) % 1.33/1.56 (step @p4796 :rule cong :premises (@p4670) :args (@t857)) % 1.33/1.56 (step @p4797 :rule ho_cong :premises (@p4438 @p4796)) % 1.33/1.56 (step @p4798 :rule trans :premises (@p4797 @p4795)) % 1.33/1.56 (step @p4799 :rule ho_cong :premises (@p1314 @p4798)) % 1.33/1.56 (step @p4800 :rule ho_cong :premises (@p4799 @p3592)) % 1.33/1.56 (step @p4801 :rule trans :premises (@p4800 @p4790)) % 1.33/1.56 (step @p4802 :rule cong :premises (@p4801) :args (@t861)) % 1.33/1.56 (step @p4803 :rule trans :premises (@p4802 @p4777)) % 1.33/1.56 (step @p4804 :rule beta-reduce :args ((= (_ @t3809 @t858) @t859))) % 1.33/1.56 (step @p4805 :rule refl :args (@t858)) % 1.33/1.56 (step @p4806 :rule ho_cong :premises (@p3740 @p4805)) % 1.33/1.56 (step @p4807 :rule trans :premises (@p4806 @p4804)) % 1.33/1.56 (step @p4808 :rule cong :premises (@p4807) :args (@t4132)) % 1.33/1.56 (step @p4809 :rule trans :premises (@p4808 @p4803)) % 1.33/1.56 (step @p4810 :rule refl :args (tptp.setOfPairsIsBReln)) % 1.33/1.56 (step @p4811 :rule cong :premises (@p4810 @p4809) :args ((= tptp.setOfPairsIsBReln @t4132))) % 1.33/1.56 (step @p4812 :rule ho_cong :premises (@p3757 @p4805)) % 1.33/1.56 (step @p4813 :rule cong :premises (@p4812) :args (@t864)) % 1.33/1.56 (step @p4814 :rule cong :premises (@p4810 @p4813) :args (@t865)) % 1.33/1.56 (step @p4815 :rule trans :premises (@p4814 @p4811)) % 1.33/1.56 (step @p4816 :rule eq_resolve :premises (@p184 @p4815)) % 1.33/1.56 (step @p4817 :rule cong :premises (@p4816 @p4772) :args (@t4133)) % 1.33/1.56 (step @p4818 :rule refl :args (tptp.dpsetconstrSub)) % 1.33/1.56 (step @p4819 :rule cong :premises (@p4818 @p4803) :args (@t862)) % 1.33/1.56 (step @p4820 :rule eq_resolve :premises (@p183 @p4819)) % 1.33/1.56 (step @p4821 :rule cong :premises (@p4820 @p4817) :args (@t4134)) % 1.33/1.56 (step @p4822 :rule aci_norm :args ((= @t4136 @t2069))) % 1.33/1.56 (step @p4823 :rule cong :premises (@p4822) :args (@t4137)) % 1.33/1.56 (step @p4824 :rule quant-merge-prenex :args ((= (forall @t854 @t4139) @t4137))) % 1.33/1.56 (step @p4825 :rule alpha_equiv :args (@t4140 (@list @t2065) @t3417)) % 1.33/1.56 (step @p4826 :rule nary_cong :premises (@p2450 @p4825) :args (@t4141)) % 1.33/1.56 (step @p4827 :rule quant-miniscope-or :args ((= @t4139 @t4141))) % 1.33/1.56 (step @p4828 :rule trans :premises (@p4827 @p4826)) % 1.33/1.56 (step @p4829 :rule symm :premises (@p4828)) % 1.33/1.56 (step @p4830 :rule cong :premises (@p4829) :args ((forall @t854 (or @t1795 @t4142)))) % 1.33/1.56 (step @p4831 :rule trans :premises (@p4830 @p4824)) % 1.33/1.56 (step @p4832 :rule trans :premises (@p4831 @p4823)) % 1.33/1.56 (step @p4833 :rule refl :args (@t4142)) % 1.33/1.56 (step @p4834 :rule nary_cong :premises (@p910 @p4833) :args (@t4143)) % 1.33/1.56 (step @p4835 :rule cong :premises (@p4834) :args ((forall @t854 @t4143))) % 1.33/1.56 (step @p4836 :rule trans :premises (@p4835 @p4832)) % 1.33/1.56 (step @p4837 :rule bool-impl-elim :args (@t7 @t4142)) % 1.33/1.56 (step @p4838 :rule cong :premises (@p4837) :args ((forall @t854 (=> @t7 @t4142)))) % 1.33/1.56 (step @p4839 :rule trans :premises (@p4838 @p4836)) % 1.33/1.56 (step @p4840 :rule refl :args (@t2612)) % 1.33/1.56 (step @p4841 :rule nary_cong :premises (@p4753 @p4840 @p4662) :args (@t4144)) % 1.33/1.56 (step @p4842 :rule cong :premises (@p4841) :args ((forall @t70 @t4144))) % 1.33/1.56 (step @p4843 :rule cong :premises (@p4670) :args (@t4145)) % 1.33/1.56 (step @p4844 :rule nary_cong :premises (@p3686 @p4843 @p4697) :args (@t4146)) % 1.33/1.56 (step @p4845 :rule cong :premises (@p4844) :args ((forall @t70 @t4146))) % 1.33/1.56 (step @p4846 :rule trans :premises (@p4845 @p4842)) % 1.33/1.56 (step @p4847 :rule aci_norm :args ((= (or @t3795 (or @t4145 @t850)) @t4146))) % 1.33/1.56 (step @p4848 :rule bool-impl-elim :args (@t76 @t850)) % 1.33/1.56 (step @p4849 :rule nary_cong :premises (@p3691 @p4848) :args ((or @t3795 @t851))) % 1.33/1.56 (step @p4850 :rule trans :premises (@p4849 @p4847)) % 1.33/1.56 (step @p4851 :rule bool-impl-elim :args (@t354 @t851)) % 1.33/1.56 (step @p4852 :rule trans :premises (@p4851 @p4850)) % 1.33/1.56 (step @p4853 :rule cong :premises (@p4852) :args (@t852)) % 1.33/1.56 (step @p4854 :rule trans :premises (@p4853 @p4846)) % 1.33/1.56 (step @p4855 :rule cong :premises (@p2509 @p4854) :args (@t853)) % 1.33/1.56 (step @p4856 :rule cong :premises (@p4855) :args (@t855)) % 1.33/1.56 (step @p4857 :rule trans :premises (@p4856 @p4839)) % 1.33/1.56 (step @p4858 :rule refl :args (tptp.dpsetconstrI)) % 1.33/1.56 (step @p4859 :rule cong :premises (@p4858 @p4857) :args (@t856)) % 1.33/1.56 (step @p4860 :rule eq_resolve :premises (@p182 @p4859)) % 1.33/1.56 (step @p4861 :rule cong :premises (@p4860 @p4821) :args (@t4147)) % 1.33/1.56 (step @p4862 :rule refl :args ((tptp.kpair @t768 @t814))) % 1.33/1.56 (step @p4863 :rule refl :args (@t2072)) % 1.33/1.56 (step @p4864 :rule refl :args (@t2073)) % 1.33/1.56 (step @p4865 :rule cong :premises (@p4864 @p4863) :args (@t2074)) % 1.33/1.56 (step @p4866 :rule trans :premises (@p4865 @p4862)) % 1.33/1.56 (step @p4867 :rule refl :args (tptp.kpair)) % 1.33/1.56 (step @p4868 :rule ho_cong :premises (@p4867 @p4864)) % 1.33/1.56 (step @p4869 :rule ho_cong :premises (@p4868 @p4863)) % 1.33/1.56 (step @p4870 :rule cong :premises (@p4869 @p4866) :args ((= (_ @t4148 @t2072) @t2074))) % 1.33/1.56 (step @p4871 :rule symm :premises (@p4870)) % 1.33/1.56 (step @p4872 :rule refl :args (@t815)) % 1.33/1.56 (step @p4873 :rule eq_resolve :premises (@p4872 @p4871)) % 1.33/1.56 (step @p4874 :rule refl :args (@t814)) % 1.33/1.56 (step @p4875 :rule cong :premises (@p4874 @p4863) :args ((= @t814 @t2072))) % 1.33/1.56 (step @p4876 :rule symm :premises (@p4875)) % 1.33/1.56 (step @p4877 :rule eq_resolve :premises (@p4874 @p4876)) % 1.33/1.56 (step @p4878 :rule refl :args (@t768)) % 1.33/1.56 (step @p4879 :rule cong :premises (@p4878 @p4864) :args ((= @t768 @t2073))) % 1.33/1.56 (step @p4880 :rule symm :premises (@p4879)) % 1.33/1.56 (step @p4881 :rule eq_resolve :premises (@p4878 @p4880)) % 1.33/1.56 (step @p4882 :rule ho_cong :premises (@p4867 @p4881)) % 1.33/1.56 (step @p4883 :rule ho_cong :premises (@p4882 @p4877)) % 1.33/1.56 (step @p4884 :rule trans :premises (@p4883 @p4873)) % 1.33/1.56 (step @p4885 :rule refl :args (@t383)) % 1.33/1.56 (step @p4886 :rule cong :premises (@p4885 @p4884) :args (@t4149)) % 1.33/1.56 (step @p4887 :rule refl :args ((tptp.in @t383 @t675))) % 1.33/1.56 (step @p4888 :rule cong :premises (@p4885 @p3579) :args (@t2076)) % 1.33/1.56 (step @p4889 :rule trans :premises (@p4888 @p4887)) % 1.33/1.56 (step @p4890 :rule refl :args (@t686)) % 1.33/1.56 (step @p4891 :rule ho_cong :premises (@p4890 @p3579)) % 1.33/1.56 (step @p4892 :rule cong :premises (@p4891 @p4889) :args ((= (_ @t686 @t1934) @t2076))) % 1.33/1.56 (step @p4893 :rule symm :premises (@p4892)) % 1.33/1.56 (step @p4894 :rule refl :args (@t687)) % 1.33/1.56 (step @p4895 :rule eq_resolve :premises (@p4894 @p4893)) % 1.33/1.56 (step @p4896 :rule ho_cong :premises (@p4890 @p3592)) % 1.33/1.56 (step @p4897 :rule trans :premises (@p4896 @p4895)) % 1.33/1.56 (step @p4898 :rule cong :premises (@p4897) :args (@t4150)) % 1.33/1.56 (step @p4899 :rule nary_cong :premises (@p4898 @p4886) :args (@t4151)) % 1.33/1.56 (step @p4900 :rule cong :premises (@p4899) :args ((forall @t689 @t4151))) % 1.33/1.56 (step @p4901 :rule bool-impl-elim :args (@t687 @t4149)) % 1.33/1.56 (step @p4902 :rule cong :premises (@p4901) :args ((forall @t689 (=> @t687 @t4149)))) % 1.33/1.56 (step @p4903 :rule trans :premises (@p4902 @p4900)) % 1.33/1.56 (step @p4904 :rule eq-symm :args (@t815 @t383)) % 1.33/1.56 (step @p4905 :rule refl :args (@t687)) % 1.33/1.56 (step @p4906 :rule cong :premises (@p4905 @p4904) :args (@t843)) % 1.33/1.56 (step @p4907 :rule cong :premises (@p4906) :args (@t844)) % 1.33/1.56 (step @p4908 :rule trans :premises (@p4907 @p4903)) % 1.33/1.56 (step @p4909 :rule refl :args (tptp.cartprodpairsurjEq)) % 1.33/1.56 (step @p4910 :rule cong :premises (@p4909 @p4908) :args (@t845)) % 1.33/1.56 (step @p4911 :rule eq_resolve :premises (@p181 @p4910)) % 1.33/1.56 (step @p4912 :rule cong :premises (@p4911 @p4861) :args (@t4152)) % 1.33/1.56 (step @p4913 :rule aci_norm :args ((= @t4154 @t2082))) % 1.33/1.56 (step @p4914 :rule cong :premises (@p4913) :args (@t4155)) % 1.33/1.56 (step @p4915 :rule quant-merge-prenex :args ((= (forall @t245 @t4157) @t4155))) % 1.33/1.56 (step @p4916 :rule alpha_equiv :args (@t4158 (@list @t2079) @t3417)) % 1.33/1.56 (step @p4917 :rule nary_cong :premises (@p2450 @p4916) :args (@t4159)) % 1.33/1.56 (step @p4918 :rule quant-miniscope-or :args ((= @t4157 @t4159))) % 1.33/1.56 (step @p4919 :rule trans :premises (@p4918 @p4917)) % 1.33/1.56 (step @p4920 :rule symm :premises (@p4919)) % 1.33/1.56 (step @p4921 :rule cong :premises (@p4920) :args ((forall @t245 (or @t1795 @t4160)))) % 1.33/1.56 (step @p4922 :rule trans :premises (@p4921 @p4915)) % 1.33/1.56 (step @p4923 :rule trans :premises (@p4922 @p4914)) % 1.33/1.56 (step @p4924 :rule refl :args (@t4160)) % 1.33/1.56 (step @p4925 :rule nary_cong :premises (@p910 @p4924) :args (@t4161)) % 1.33/1.56 (step @p4926 :rule cong :premises (@p4925) :args ((forall @t245 @t4161))) % 1.33/1.56 (step @p4927 :rule trans :premises (@p4926 @p4923)) % 1.33/1.56 (step @p4928 :rule bool-impl-elim :args (@t7 @t4160)) % 1.33/1.56 (step @p4929 :rule cong :premises (@p4928) :args ((forall @t245 (=> @t7 @t4160)))) % 1.33/1.56 (step @p4930 :rule trans :premises (@p4929 @p4927)) % 1.33/1.56 (step @p4931 :rule refl :args ((tptp.ksnd @t633))) % 1.33/1.56 (step @p4932 :rule cong :premises (@p3654) :args (@t2100)) % 1.33/1.56 (step @p4933 :rule trans :premises (@p4932 @p4931)) % 1.33/1.56 (step @p4934 :rule refl :args (tptp.ksnd)) % 1.33/1.56 (step @p4935 :rule ho_cong :premises (@p4934 @p3654)) % 1.33/1.56 (step @p4936 :rule cong :premises (@p4935 @p4933) :args ((= (_ tptp.ksnd @t2050) @t2100))) % 1.33/1.56 (step @p4937 :rule symm :premises (@p4936)) % 1.33/1.56 (step @p4938 :rule refl :args (@t810)) % 1.33/1.56 (step @p4939 :rule eq_resolve :premises (@p4938 @p4937)) % 1.33/1.56 (step @p4940 :rule ho_cong :premises (@p4934 @p3666)) % 1.33/1.56 (step @p4941 :rule trans :premises (@p4940 @p4939)) % 1.33/1.56 (step @p4942 :rule cong :premises (@p2561 @p4941) :args (@t4162)) % 1.33/1.56 (step @p4943 :rule nary_cong :premises (@p3686 @p4942) :args (@t4163)) % 1.33/1.56 (step @p4944 :rule cong :premises (@p4943) :args ((forall @t70 @t4163))) % 1.33/1.56 (step @p4945 :rule bool-impl-elim :args (@t354 @t4162)) % 1.33/1.56 (step @p4946 :rule cong :premises (@p4945) :args ((forall @t70 (=> @t354 @t4162)))) % 1.33/1.56 (step @p4947 :rule trans :premises (@p4946 @p4944)) % 1.33/1.56 (step @p4948 :rule eq-symm :args (@t810 @t19)) % 1.33/1.56 (step @p4949 :rule cong :premises (@p3893 @p4948) :args (@t838)) % 1.33/1.56 (step @p4950 :rule cong :premises (@p4949) :args (@t839)) % 1.33/1.56 (step @p4951 :rule trans :premises (@p4950 @p4947)) % 1.33/1.56 (step @p4952 :rule cong :premises (@p2509 @p4951) :args (@t840)) % 1.33/1.56 (step @p4953 :rule cong :premises (@p4952) :args (@t841)) % 1.33/1.56 (step @p4954 :rule trans :premises (@p4953 @p4930)) % 1.33/1.56 (step @p4955 :rule refl :args (tptp.cartprodsndpairEq)) % 1.33/1.56 (step @p4956 :rule cong :premises (@p4955 @p4954) :args (@t842)) % 1.33/1.56 (step @p4957 :rule eq_resolve :premises (@p180 @p4956)) % 1.33/1.56 (step @p4958 :rule cong :premises (@p4957 @p4912) :args (@t4164)) % 1.33/1.56 (step @p4959 :rule aci_norm :args ((= @t4166 @t2088))) % 1.33/1.56 (step @p4960 :rule cong :premises (@p4959) :args (@t4167)) % 1.33/1.56 (step @p4961 :rule quant-merge-prenex :args ((= (forall @t245 @t4169) @t4167))) % 1.33/1.56 (step @p4962 :rule alpha_equiv :args (@t4170 (@list @t2085) @t3417)) % 1.33/1.56 (step @p4963 :rule nary_cong :premises (@p2450 @p4962) :args (@t4171)) % 1.33/1.56 (step @p4964 :rule quant-miniscope-or :args ((= @t4169 @t4171))) % 1.33/1.56 (step @p4965 :rule trans :premises (@p4964 @p4963)) % 1.33/1.56 (step @p4966 :rule symm :premises (@p4965)) % 1.33/1.56 (step @p4967 :rule cong :premises (@p4966) :args ((forall @t245 (or @t1795 @t4172)))) % 1.33/1.56 (step @p4968 :rule trans :premises (@p4967 @p4961)) % 1.33/1.56 (step @p4969 :rule trans :premises (@p4968 @p4960)) % 1.33/1.56 (step @p4970 :rule refl :args (@t4172)) % 1.33/1.56 (step @p4971 :rule nary_cong :premises (@p910 @p4970) :args (@t4173)) % 1.33/1.56 (step @p4972 :rule cong :premises (@p4971) :args ((forall @t245 @t4173))) % 1.33/1.56 (step @p4973 :rule trans :premises (@p4972 @p4969)) % 1.33/1.56 (step @p4974 :rule bool-impl-elim :args (@t7 @t4172)) % 1.33/1.56 (step @p4975 :rule cong :premises (@p4974) :args ((forall @t245 (=> @t7 @t4172)))) % 1.33/1.56 (step @p4976 :rule trans :premises (@p4975 @p4973)) % 1.33/1.56 (step @p4977 :rule refl :args ((tptp.kfst @t633))) % 1.33/1.56 (step @p4978 :rule cong :premises (@p3654) :args (@t2138)) % 1.33/1.56 (step @p4979 :rule trans :premises (@p4978 @p4977)) % 1.33/1.56 (step @p4980 :rule refl :args (tptp.kfst)) % 1.33/1.56 (step @p4981 :rule ho_cong :premises (@p4980 @p3654)) % 1.33/1.56 (step @p4982 :rule cong :premises (@p4981 @p4979) :args ((= (_ tptp.kfst @t2050) @t2138))) % 1.33/1.56 (step @p4983 :rule symm :premises (@p4982)) % 1.33/1.56 (step @p4984 :rule refl :args (@t764)) % 1.33/1.56 (step @p4985 :rule eq_resolve :premises (@p4984 @p4983)) % 1.33/1.56 (step @p4986 :rule ho_cong :premises (@p4980 @p3666)) % 1.33/1.56 (step @p4987 :rule trans :premises (@p4986 @p4985)) % 1.33/1.56 (step @p4988 :rule cong :premises (@p874 @p4987) :args (@t4174)) % 1.33/1.56 (step @p4989 :rule nary_cong :premises (@p3686 @p4988) :args (@t4175)) % 1.33/1.56 (step @p4990 :rule cong :premises (@p4989) :args ((forall @t70 @t4175))) % 1.33/1.56 (step @p4991 :rule bool-impl-elim :args (@t354 @t4174)) % 1.33/1.56 (step @p4992 :rule cong :premises (@p4991) :args ((forall @t70 (=> @t354 @t4174)))) % 1.33/1.56 (step @p4993 :rule trans :premises (@p4992 @p4990)) % 1.33/1.56 (step @p4994 :rule eq-symm :args (@t764 @t4)) % 1.33/1.56 (step @p4995 :rule cong :premises (@p3893 @p4994) :args (@t833)) % 1.33/1.56 (step @p4996 :rule cong :premises (@p4995) :args (@t834)) % 1.33/1.56 (step @p4997 :rule trans :premises (@p4996 @p4993)) % 1.33/1.56 (step @p4998 :rule cong :premises (@p2509 @p4997) :args (@t835)) % 1.33/1.56 (step @p4999 :rule cong :premises (@p4998) :args (@t836)) % 1.33/1.56 (step @p5000 :rule trans :premises (@p4999 @p4976)) % 1.33/1.56 (step @p5001 :rule refl :args (tptp.cartprodfstpairEq)) % 1.33/1.56 (step @p5002 :rule cong :premises (@p5001 @p5000) :args (@t837)) % 1.33/1.56 (step @p5003 :rule eq_resolve :premises (@p179 @p5002)) % 1.33/1.56 (step @p5004 :rule cong :premises (@p5003 @p4958) :args (@t4176)) % 1.33/1.56 (step @p5005 :rule bool-eq-true :args (tptp.cartprodmempaircEq)) % 1.33/1.56 (step @p5006 :rule symm :premises (@p5005)) % 1.33/1.56 (step @p5007 :rule quant-unused-vars :args ((= (forall @t245 true) true))) % 1.33/1.56 (step @p5008 :rule quant-unused-vars :args ((= (forall @t70 true) true))) % 1.33/1.56 (step @p5009 :rule bool-impl-true1 :args (@t354)) % 1.33/1.56 (step @p5010 :rule eq-refl :args (@t633)) % 1.33/1.56 (step @p5011 :rule cong :premises (@p3893 @p5010) :args (@t828)) % 1.33/1.56 (step @p5012 :rule trans :premises (@p5011 @p5009)) % 1.33/1.56 (step @p5013 :rule cong :premises (@p5012) :args (@t829)) % 1.33/1.56 (step @p5014 :rule trans :premises (@p5013 @p5008)) % 1.33/1.56 (step @p5015 :rule cong :premises (@p2509 @p5014) :args (@t830)) % 1.33/1.56 (step @p5016 :rule trans :premises (@p5015 @p3421)) % 1.33/1.56 (step @p5017 :rule cong :premises (@p5016) :args (@t831)) % 1.33/1.56 (step @p5018 :rule trans :premises (@p5017 @p5007)) % 1.33/1.56 (step @p5019 :rule refl :args (tptp.cartprodmempaircEq)) % 1.33/1.56 (step @p5020 :rule cong :premises (@p5019 @p5018) :args (@t832)) % 1.33/1.56 (step @p5021 :rule trans :premises (@p5020 @p5005)) % 1.33/1.56 (step @p5022 :rule eq_resolve :premises (@p178 @p5021)) % 1.33/1.56 (step @p5023 :rule eq_resolve :premises (@p5022 @p5006)) % 1.33/1.56 (step @p5024 :rule cong :premises (@p5023 @p5004) :args (@t4177)) % 1.33/1.56 (step @p5025 :rule refl :args ((tptp.in @t633 @t675))) % 1.33/1.56 (step @p5026 :rule cong :premises (@p3654 @p3579) :args (@t2091)) % 1.33/1.56 (step @p5027 :rule trans :premises (@p5026 @p5025)) % 1.33/1.56 (step @p5028 :rule ho_cong :premises (@p3657 @p3579)) % 1.33/1.56 (step @p5029 :rule cong :premises (@p5028 @p5027) :args ((= (_ @t3793 @t1934) @t2091))) % 1.33/1.56 (step @p5030 :rule symm :premises (@p5029)) % 1.33/1.56 (step @p5031 :rule refl :args (@t676)) % 1.33/1.56 (step @p5032 :rule eq_resolve :premises (@p5031 @p5030)) % 1.33/1.56 (step @p5033 :rule ho_cong :premises (@p3667 @p3592)) % 1.33/1.56 (step @p5034 :rule trans :premises (@p5033 @p5032)) % 1.33/1.56 (step @p5035 :rule cong :premises (@p5034) :args (@t4178)) % 1.33/1.56 (step @p5036 :rule nary_cong :premises (@p5035 @p3685) :args (@t4179)) % 1.33/1.56 (step @p5037 :rule cong :premises (@p5036) :args ((forall @t823 @t4179))) % 1.33/1.56 (step @p5038 :rule bool-impl-elim :args (@t676 @t354)) % 1.33/1.56 (step @p5039 :rule cong :premises (@p5038) :args (@t826)) % 1.33/1.56 (step @p5040 :rule trans :premises (@p5039 @p5037)) % 1.33/1.56 (step @p5041 :rule refl :args (tptp.cartprodpairmemER)) % 1.33/1.56 (step @p5042 :rule cong :premises (@p5041 @p5040) :args (@t827)) % 1.33/1.56 (step @p5043 :rule eq_resolve :premises (@p177 @p5042)) % 1.33/1.56 (step @p5044 :rule cong :premises (@p5043 @p5024) :args (@t4180)) % 1.33/1.56 (step @p5045 :rule nary_cong :premises (@p5035 @p909) :args (@t4181)) % 1.33/1.56 (step @p5046 :rule cong :premises (@p5045) :args ((forall @t823 @t4181))) % 1.33/1.56 (step @p5047 :rule bool-impl-elim :args (@t676 @t7)) % 1.33/1.56 (step @p5048 :rule cong :premises (@p5047) :args (@t824)) % 1.33/1.56 (step @p5049 :rule trans :premises (@p5048 @p5046)) % 1.33/1.56 (step @p5050 :rule refl :args (tptp.cartprodpairmemEL)) % 1.33/1.56 (step @p5051 :rule cong :premises (@p5050 @p5049) :args (@t825)) % 1.33/1.56 (step @p5052 :rule eq_resolve :premises (@p176 @p5051)) % 1.33/1.56 (step @p5053 :rule cong :premises (@p5052 @p5044) :args (@t4182)) % 1.33/1.56 (step @p5054 :rule refl :args ((tptp.in @t814 @t1))) % 1.33/1.56 (step @p5055 :rule cong :premises (@p4863 @p3232) :args (@t2095)) % 1.33/1.56 (step @p5056 :rule trans :premises (@p5055 @p5054)) % 1.33/1.56 (step @p5057 :rule ho_cong :premises (@p1255 @p4863)) % 1.33/1.56 (step @p5058 :rule ho_cong :premises (@p5057 @p3232)) % 1.33/1.56 (step @p5059 :rule cong :premises (@p5058 @p5056) :args ((= (_ (_ tptp.in @t2072) @t1) @t2095))) % 1.33/1.56 (step @p5060 :rule symm :premises (@p5059)) % 1.33/1.56 (step @p5061 :rule refl :args (@t820)) % 1.33/1.56 (step @p5062 :rule eq_resolve :premises (@p5061 @p5060)) % 1.33/1.56 (step @p5063 :rule ho_cong :premises (@p1255 @p4877)) % 1.33/1.56 (step @p5064 :rule ho_cong :premises (@p5063 @p3232)) % 1.33/1.56 (step @p5065 :rule trans :premises (@p5064 @p5062)) % 1.33/1.56 (step @p5066 :rule nary_cong :premises (@p4898 @p5065) :args (@t4183)) % 1.33/1.56 (step @p5067 :rule cong :premises (@p5066) :args ((forall @t689 @t4183))) % 1.33/1.56 (step @p5068 :rule bool-impl-elim :args (@t687 @t820)) % 1.33/1.56 (step @p5069 :rule cong :premises (@p5068) :args (@t821)) % 1.33/1.56 (step @p5070 :rule trans :premises (@p5069 @p5067)) % 1.33/1.56 (step @p5071 :rule refl :args (tptp.cartprodsndin)) % 1.33/1.56 (step @p5072 :rule cong :premises (@p5071 @p5070) :args (@t822)) % 1.33/1.56 (step @p5073 :rule eq_resolve :premises (@p175 @p5072)) % 1.33/1.56 (step @p5074 :rule cong :premises (@p5073 @p5053) :args (@t4184)) % 1.33/1.56 (step @p5075 :rule refl :args (@t2097)) % 1.33/1.56 (step @p5076 :rule refl :args (@t692)) % 1.33/1.56 (step @p5077 :rule cong :premises (@p5076 @p5075) :args ((= @t692 @t2097))) % 1.33/1.56 (step @p5078 :rule symm :premises (@p5077)) % 1.33/1.56 (step @p5079 :rule eq_resolve :premises (@p5076 @p5078)) % 1.33/1.56 (step @p5080 :rule cong :premises (@p5079) :args (@t4185)) % 1.33/1.56 (step @p5081 :rule nary_cong :premises (@p5080 @p4886) :args (@t4186)) % 1.33/1.56 (step @p5082 :rule cong :premises (@p5081) :args ((forall @t756 @t4186))) % 1.33/1.56 (step @p5083 :rule bool-impl-elim :args (@t692 @t4149)) % 1.33/1.56 (step @p5084 :rule cong :premises (@p5083) :args ((forall @t756 (=> @t692 @t4149)))) % 1.33/1.56 (step @p5085 :rule trans :premises (@p5084 @p5082)) % 1.33/1.56 (step @p5086 :rule refl :args (@t692)) % 1.33/1.56 (step @p5087 :rule cong :premises (@p5086 @p4904) :args (@t817)) % 1.33/1.56 (step @p5088 :rule cong :premises (@p5087) :args (@t818)) % 1.33/1.56 (step @p5089 :rule trans :premises (@p5088 @p5085)) % 1.33/1.56 (step @p5090 :rule refl :args (tptp.kpairsurjEq)) % 1.33/1.56 (step @p5091 :rule cong :premises (@p5090 @p5089) :args (@t819)) % 1.33/1.56 (step @p5092 :rule eq_resolve :premises (@p174 @p5091)) % 1.33/1.56 (step @p5093 :rule cong :premises (@p5092 @p5074) :args (@t4187)) % 1.33/1.56 (step @p5094 :rule cong :premises (@p4942) :args ((forall @t135 @t4162))) % 1.33/1.56 (step @p5095 :rule cong :premises (@p4948) :args (@t812)) % 1.33/1.56 (step @p5096 :rule trans :premises (@p5095 @p5094)) % 1.33/1.56 (step @p5097 :rule refl :args (tptp.ksndpairEq)) % 1.33/1.56 (step @p5098 :rule cong :premises (@p5097 @p5096) :args (@t813)) % 1.33/1.56 (step @p5099 :rule eq_resolve :premises (@p173 @p5098)) % 1.33/1.56 (step @p5100 :rule cong :premises (@p5099 @p5093) :args (@t4188)) % 1.33/1.56 (step @p5101 :rule refl :args ((tptp.singleton @t806))) % 1.33/1.56 (step @p5102 :rule refl :args ((tptp.dsetconstr @t752 @t805))) % 1.33/1.56 (step @p5103 :rule refl :args ((tptp.kpair @t768 @t4))) % 1.33/1.56 (step @p5104 :rule cong :premises (@p4864 @p874) :args (@t2103)) % 1.33/1.56 (step @p5105 :rule trans :premises (@p5104 @p5103)) % 1.33/1.56 (step @p5106 :rule cong :premises (@p4885 @p5105) :args (@t2104)) % 1.33/1.56 (step @p5107 :rule cong :premises (@p5106) :args (@t2105)) % 1.33/1.56 (step @p5108 :rule refl :args (@t2106)) % 1.33/1.56 (step @p5109 :rule cong :premises (@p5108 @p5107) :args (@t2107)) % 1.33/1.56 (step @p5110 :rule trans :premises (@p5109 @p5102)) % 1.33/1.56 (step @p5111 :rule cong :premises (@p5110) :args (@t2108)) % 1.33/1.56 (step @p5112 :rule trans :premises (@p5111 @p5101)) % 1.33/1.56 (step @p5113 :rule ho_cong :premises (@p2801 @p5110)) % 1.33/1.56 (step @p5114 :rule cong :premises (@p5113 @p5112) :args ((= (_ tptp.singleton @t2107) @t2108))) % 1.33/1.56 (step @p5115 :rule symm :premises (@p5114)) % 1.33/1.56 (step @p5116 :rule refl :args (@t807)) % 1.33/1.56 (step @p5117 :rule eq_resolve :premises (@p5116 @p5115)) % 1.33/1.56 (step @p5118 :rule refl :args (tptp.dsetconstr)) % 1.33/1.56 (step @p5119 :rule ho_cong :premises (@p5118 @p5108)) % 1.33/1.56 (step @p5120 :rule ho_cong :premises (@p5119 @p5107)) % 1.33/1.56 (step @p5121 :rule cong :premises (@p5120 @p5110) :args ((= (_ @t4189 @t2105) @t2107))) % 1.33/1.56 (step @p5122 :rule symm :premises (@p5121)) % 1.33/1.56 (step @p5123 :rule refl :args (@t806)) % 1.33/1.56 (step @p5124 :rule eq_resolve :premises (@p5123 @p5122)) % 1.33/1.56 (step @p5125 :rule ho_cong :premises (@p4868 @p874)) % 1.33/1.56 (step @p5126 :rule cong :premises (@p5125 @p5105) :args ((= (_ @t4148 @t4) @t2103))) % 1.33/1.56 (step @p5127 :rule symm :premises (@p5126)) % 1.33/1.56 (step @p5128 :rule refl :args (@t803)) % 1.33/1.56 (step @p5129 :rule eq_resolve :premises (@p5128 @p5127)) % 1.33/1.56 (step @p5130 :rule ho_cong :premises (@p4882 @p874)) % 1.33/1.56 (step @p5131 :rule trans :premises (@p5130 @p5129)) % 1.33/1.56 (step @p5132 :rule cong :premises (@p4885 @p5131) :args (@t804)) % 1.33/1.56 (step @p5133 :rule cong :premises (@p5132) :args (@t805)) % 1.33/1.56 (step @p5134 :rule refl :args (@t752)) % 1.33/1.56 (step @p5135 :rule cong :premises (@p5134 @p5108) :args ((= @t752 @t2106))) % 1.33/1.56 (step @p5136 :rule symm :premises (@p5135)) % 1.33/1.56 (step @p5137 :rule eq_resolve :premises (@p5134 @p5136)) % 1.33/1.56 (step @p5138 :rule ho_cong :premises (@p5118 @p5137)) % 1.33/1.56 (step @p5139 :rule ho_cong :premises (@p5138 @p5133)) % 1.33/1.56 (step @p5140 :rule trans :premises (@p5139 @p5124)) % 1.33/1.56 (step @p5141 :rule ho_cong :premises (@p2801 @p5140)) % 1.33/1.56 (step @p5142 :rule trans :premises (@p5141 @p5117)) % 1.33/1.56 (step @p5143 :rule nary_cong :premises (@p5080 @p5142) :args (@t4190)) % 1.33/1.56 (step @p5144 :rule cong :premises (@p5143) :args ((forall @t756 @t4190))) % 1.33/1.56 (step @p5145 :rule bool-impl-elim :args (@t692 @t807)) % 1.33/1.56 (step @p5146 :rule cong :premises (@p5145) :args (@t808)) % 1.33/1.56 (step @p5147 :rule trans :premises (@p5146 @p5144)) % 1.33/1.56 (step @p5148 :rule refl :args (tptp.ksndsingleton)) % 1.33/1.56 (step @p5149 :rule cong :premises (@p5148 @p5147) :args (@t809)) % 1.33/1.56 (step @p5150 :rule eq_resolve :premises (@p172 @p5149)) % 1.33/1.56 (step @p5151 :rule cong :premises (@p5150 @p5100) :args (@t4191)) % 1.33/1.56 (step @p5152 :rule refl :args (@t791)) % 1.33/1.56 (step @p5153 :rule refl :args (@t2110)) % 1.33/1.56 (step @p5154 :rule refl :args (@t780)) % 1.33/1.56 (step @p5155 :rule cong :premises (@p5154 @p5153) :args ((= @t780 @t2110))) % 1.33/1.56 (step @p5156 :rule symm :premises (@p5155)) % 1.33/1.56 (step @p5157 :rule eq_resolve :premises (@p5154 @p5156)) % 1.33/1.56 (step @p5158 :rule cong :premises (@p3666 @p5157) :args (@t781)) % 1.33/1.56 (step @p5159 :rule cong :premises (@p5158) :args (@t4192)) % 1.33/1.56 (step @p5160 :rule nary_cong :premises (@p5159 @p5152) :args (@t4193)) % 1.33/1.56 (step @p5161 :rule cong :premises (@p5160) :args ((forall @t777 @t4193))) % 1.33/1.56 (step @p5162 :rule bool-impl-elim :args (@t781 @t791)) % 1.33/1.56 (step @p5163 :rule cong :premises (@p5162) :args (@t800)) % 1.33/1.56 (step @p5164 :rule trans :premises (@p5163 @p5161)) % 1.33/1.56 (step @p5165 :rule refl :args (tptp.setukpairinjR)) % 1.33/1.56 (step @p5166 :rule cong :premises (@p5165 @p5164) :args (@t801)) % 1.33/1.56 (step @p5167 :rule eq_resolve :premises (@p171 @p5166)) % 1.33/1.56 (step @p5168 :rule cong :premises (@p5167 @p5151) :args (@t4194)) % 1.33/1.56 (step @p5169 :rule refl :args ((tptp.setadjoin @t746 @t774))) % 1.33/1.56 (step @p5170 :rule refl :args ((tptp.setadjoin @t773 tptp.emptyset))) % 1.33/1.56 (step @p5171 :rule refl :args ((tptp.setadjoin @t289 @t772))) % 1.33/1.56 (step @p5172 :rule refl :args (@t2113)) % 1.33/1.56 (step @p5173 :rule refl :args (@t289)) % 1.33/1.56 (step @p5174 :rule cong :premises (@p5173 @p5172) :args (@t2114)) % 1.33/1.56 (step @p5175 :rule trans :premises (@p5174 @p5171)) % 1.33/1.56 (step @p5176 :rule cong :premises (@p5175 @p317) :args (@t2115)) % 1.33/1.56 (step @p5177 :rule trans :premises (@p5176 @p5170)) % 1.33/1.56 (step @p5178 :rule refl :args (@t2116)) % 1.33/1.56 (step @p5179 :rule cong :premises (@p5178 @p5177) :args (@t2117)) % 1.33/1.56 (step @p5180 :rule trans :premises (@p5179 @p5169)) % 1.33/1.56 (step @p5181 :rule refl :args (tptp.setadjoin)) % 1.33/1.56 (step @p5182 :rule ho_cong :premises (@p5181 @p5178)) % 1.33/1.56 (step @p5183 :rule ho_cong :premises (@p5182 @p5177)) % 1.33/1.56 (step @p5184 :rule cong :premises (@p5183 @p5180) :args ((= (_ (_ tptp.setadjoin @t2116) @t2115) @t2117))) % 1.33/1.56 (step @p5185 :rule symm :premises (@p5184)) % 1.33/1.56 (step @p5186 :rule refl :args (@t775)) % 1.33/1.56 (step @p5187 :rule eq_resolve :premises (@p5186 @p5185)) % 1.33/1.56 (step @p5188 :rule ho_cong :premises (@p5181 @p5175)) % 1.33/1.56 (step @p5189 :rule ho_cong :premises (@p5188 @p317)) % 1.33/1.56 (step @p5190 :rule cong :premises (@p5189 @p5177) :args ((= (_ (_ tptp.setadjoin @t2114) tptp.emptyset) @t2115))) % 1.33/1.56 (step @p5191 :rule symm :premises (@p5190)) % 1.33/1.56 (step @p5192 :rule refl :args (@t774)) % 1.33/1.56 (step @p5193 :rule eq_resolve :premises (@p5192 @p5191)) % 1.33/1.56 (step @p5194 :rule refl :args (@t745)) % 1.33/1.56 (step @p5195 :rule ho_cong :premises (@p5194 @p5172)) % 1.33/1.56 (step @p5196 :rule cong :premises (@p5195 @p5175) :args ((= (_ @t745 @t2113) @t2114))) % 1.33/1.56 (step @p5197 :rule symm :premises (@p5196)) % 1.33/1.56 (step @p5198 :rule refl :args (@t773)) % 1.33/1.56 (step @p5199 :rule eq_resolve :premises (@p5198 @p5197)) % 1.33/1.56 (step @p5200 :rule refl :args (@t772)) % 1.33/1.56 (step @p5201 :rule cong :premises (@p5200 @p5172) :args ((= @t772 @t2113))) % 1.33/1.56 (step @p5202 :rule symm :premises (@p5201)) % 1.33/1.56 (step @p5203 :rule eq_resolve :premises (@p5200 @p5202)) % 1.33/1.56 (step @p5204 :rule ho_cong :premises (@p5194 @p5203)) % 1.33/1.56 (step @p5205 :rule trans :premises (@p5204 @p5199)) % 1.33/1.56 (step @p5206 :rule ho_cong :premises (@p5181 @p5205)) % 1.33/1.56 (step @p5207 :rule ho_cong :premises (@p5206 @p317)) % 1.33/1.56 (step @p5208 :rule trans :premises (@p5207 @p5193)) % 1.33/1.56 (step @p5209 :rule refl :args (@t746)) % 1.33/1.56 (step @p5210 :rule cong :premises (@p5209 @p5178) :args ((= @t746 @t2116))) % 1.33/1.56 (step @p5211 :rule symm :premises (@p5210)) % 1.33/1.56 (step @p5212 :rule eq_resolve :premises (@p5209 @p5211)) % 1.33/1.56 (step @p5213 :rule ho_cong :premises (@p5181 @p5212)) % 1.33/1.56 (step @p5214 :rule ho_cong :premises (@p5213 @p5208)) % 1.33/1.56 (step @p5215 :rule trans :premises (@p5214 @p5187)) % 1.33/1.56 (step @p5216 :rule refl :args ((tptp.setadjoin @t279 @t619))) % 1.33/1.56 (step @p5217 :rule refl :args ((tptp.setadjoin @t293 tptp.emptyset))) % 1.33/1.56 (step @p5218 :rule cong :premises (@p2469 @p317) :args (@t2120)) % 1.33/1.56 (step @p5219 :rule trans :premises (@p5218 @p5217)) % 1.33/1.56 (step @p5220 :rule cong :premises (@p2898 @p5219) :args (@t2121)) % 1.33/1.56 (step @p5221 :rule trans :premises (@p5220 @p5216)) % 1.33/1.56 (step @p5222 :rule ho_cong :premises (@p5181 @p2898)) % 1.33/1.56 (step @p5223 :rule ho_cong :premises (@p5222 @p5219)) % 1.33/1.56 (step @p5224 :rule cong :premises (@p5223 @p5221) :args ((= (_ @t4195 @t2120) @t2121))) % 1.33/1.56 (step @p5225 :rule symm :premises (@p5224)) % 1.33/1.56 (step @p5226 :rule refl :args (@t621)) % 1.33/1.56 (step @p5227 :rule eq_resolve :premises (@p5226 @p5225)) % 1.33/1.56 (step @p5228 :rule ho_cong :premises (@p5181 @p2469)) % 1.33/1.56 (step @p5229 :rule ho_cong :premises (@p5228 @p317)) % 1.33/1.56 (step @p5230 :rule cong :premises (@p5229 @p5219) :args ((= (_ (_ tptp.setadjoin @t2119) tptp.emptyset) @t2120))) % 1.33/1.56 (step @p5231 :rule symm :premises (@p5230)) % 1.33/1.56 (step @p5232 :rule refl :args (@t619)) % 1.33/1.56 (step @p5233 :rule eq_resolve :premises (@p5232 @p5231)) % 1.33/1.56 (step @p5234 :rule ho_cong :premises (@p5181 @p2490)) % 1.33/1.56 (step @p5235 :rule ho_cong :premises (@p5234 @p317)) % 1.33/1.56 (step @p5236 :rule trans :premises (@p5235 @p5233)) % 1.33/1.56 (step @p5237 :rule ho_cong :premises (@p5181 @p2902)) % 1.33/1.56 (step @p5238 :rule ho_cong :premises (@p5237 @p5236)) % 1.33/1.56 (step @p5239 :rule trans :premises (@p5238 @p5227)) % 1.33/1.56 (step @p5240 :rule cong :premises (@p5239 @p5215) :args (@t776)) % 1.33/1.56 (step @p5241 :rule cong :premises (@p5240) :args (@t4196)) % 1.33/1.56 (step @p5242 :rule nary_cong :premises (@p5241 @p5152) :args (@t4197)) % 1.33/1.56 (step @p5243 :rule cong :premises (@p5242) :args ((forall @t777 @t4197))) % 1.33/1.56 (step @p5244 :rule bool-impl-elim :args (@t776 @t791)) % 1.33/1.56 (step @p5245 :rule cong :premises (@p5244) :args (@t798)) % 1.33/1.56 (step @p5246 :rule trans :premises (@p5245 @p5243)) % 1.33/1.56 (step @p5247 :rule refl :args (tptp.setukpairinjR2)) % 1.33/1.56 (step @p5248 :rule cong :premises (@p5247 @p5246) :args (@t799)) % 1.33/1.56 (step @p5249 :rule eq_resolve :premises (@p170 @p5248)) % 1.33/1.56 (step @p5250 :rule cong :premises (@p5249 @p5168) :args (@t4198)) % 1.33/1.56 (step @p5251 :rule cong :premises (@p2490 @p5212) :args (@t795)) % 1.33/1.56 (step @p5252 :rule cong :premises (@p5251) :args (@t4199)) % 1.33/1.56 (step @p5253 :rule nary_cong :premises (@p5252 @p4188) :args (@t4200)) % 1.33/1.56 (step @p5254 :rule cong :premises (@p5253) :args ((forall @t297 @t4200))) % 1.33/1.56 (step @p5255 :rule bool-impl-elim :args (@t795 @t129)) % 1.33/1.56 (step @p5256 :rule cong :premises (@p5255) :args (@t796)) % 1.33/1.56 (step @p5257 :rule trans :premises (@p5256 @p5254)) % 1.33/1.56 (step @p5258 :rule refl :args (tptp.upairequniteq)) % 1.33/1.56 (step @p5259 :rule cong :premises (@p5258 @p5257) :args (@t797)) % 1.33/1.56 (step @p5260 :rule eq_resolve :premises (@p169 @p5259)) % 1.33/1.56 (step @p5261 :rule cong :premises (@p5260 @p5250) :args (@t4201)) % 1.33/1.56 (step @p5262 :rule aci_norm :args ((= (or @t2125 false @t791) @t2126))) % 1.33/1.56 (step @p5263 :rule refl :args (@t791)) % 1.33/1.56 (step @p5264 :rule eq-refl :args (@t383)) % 1.33/1.56 (step @p5265 :rule cong :premises (@p5264) :args (@t4202)) % 1.33/1.56 (step @p5266 :rule trans :premises (@p5265 @p2601)) % 1.33/1.56 (step @p5267 :rule refl :args (@t2125)) % 1.33/1.56 (step @p5268 :rule nary_cong :premises (@p5267 @p5266 @p5263) :args (@t4203)) % 1.33/1.56 (step @p5269 :rule trans :premises (@p5268 @p5262)) % 1.33/1.56 (step @p5270 :rule cong :premises (@p5269) :args ((forall @t2127 @t4203))) % 1.33/1.56 (step @p5271 :rule quant-var-elim-eq :args ((= (forall @t1065 @t4205) @t4203))) % 1.33/1.56 (step @p5272 :rule aci_norm :args ((= @t4206 @t4205))) % 1.33/1.56 (step @p5273 :rule cong :premises (@p5272) :args (@t4207)) % 1.33/1.56 (step @p5274 :rule trans :premises (@p5273 @p5271)) % 1.33/1.56 (step @p5275 :rule cong :premises (@p5274) :args (@t4208)) % 1.33/1.56 (step @p5276 :rule quant-merge-prenex :args ((= @t4208 @t4209))) % 1.33/1.56 (step @p5277 :rule symm :premises (@p5276)) % 1.33/1.56 (step @p5278 :rule quant_var_reordering :args ((= (forall @t777 @t4206) @t4209))) % 1.33/1.56 (step @p5279 :rule trans :premises (@p5278 @p5277 @p5275)) % 1.33/1.56 (step @p5280 :rule trans :premises (@p5279 @p5270)) % 1.33/1.56 (step @p5281 :rule refl :args (@t4204)) % 1.33/1.56 (step @p5282 :rule nary_cong :premises (@p5241 @p5281 @p5152) :args (@t4210)) % 1.33/1.56 (step @p5283 :rule cong :premises (@p5282) :args ((forall @t777 @t4210))) % 1.33/1.56 (step @p5284 :rule trans :premises (@p5283 @p5280)) % 1.33/1.56 (step @p5285 :rule aci_norm :args ((= (or @t4196 (or @t4204 @t791)) @t4210))) % 1.33/1.56 (step @p5286 :rule bool-impl-elim :args (@t387 @t791)) % 1.33/1.56 (step @p5287 :rule refl :args (@t4196)) % 1.33/1.56 (step @p5288 :rule nary_cong :premises (@p5287 @p5286) :args ((or @t4196 @t792))) % 1.33/1.56 (step @p5289 :rule trans :premises (@p5288 @p5285)) % 1.33/1.56 (step @p5290 :rule bool-impl-elim :args (@t776 @t792)) % 1.33/1.56 (step @p5291 :rule trans :premises (@p5290 @p5289)) % 1.33/1.56 (step @p5292 :rule cong :premises (@p5291) :args (@t793)) % 1.33/1.56 (step @p5293 :rule trans :premises (@p5292 @p5284)) % 1.33/1.56 (step @p5294 :rule refl :args (tptp.setukpairinjR1)) % 1.33/1.56 (step @p5295 :rule cong :premises (@p5294 @p5293) :args (@t794)) % 1.33/1.56 (step @p5296 :rule eq_resolve :premises (@p168 @p5295)) % 1.33/1.56 (step @p5297 :rule cong :premises (@p5296 @p5261) :args (@t4211)) % 1.33/1.56 (step @p5298 :rule aci_norm :args ((= (or false @t2130) @t2130))) % 1.33/1.56 (step @p5299 :rule refl :args (@t2130)) % 1.33/1.56 (step @p5300 :rule eq-refl :args (@t19)) % 1.33/1.56 (step @p5301 :rule cong :premises (@p5300) :args (@t4212)) % 1.33/1.56 (step @p5302 :rule trans :premises (@p5301 @p2601)) % 1.33/1.56 (step @p5303 :rule nary_cong :premises (@p5302 @p5299) :args (@t4213)) % 1.33/1.56 (step @p5304 :rule trans :premises (@p5303 @p5298)) % 1.33/1.56 (step @p5305 :rule cong :premises (@p5304) :args ((forall @t70 @t4213))) % 1.33/1.56 (step @p5306 :rule quant-var-elim-eq :args ((= (forall @t9 @t4216) @t4213))) % 1.33/1.56 (step @p5307 :rule aci_norm :args ((= @t4217 @t4216))) % 1.33/1.56 (step @p5308 :rule cong :premises (@p5307) :args (@t4218)) % 1.33/1.56 (step @p5309 :rule trans :premises (@p5308 @p5306)) % 1.33/1.56 (step @p5310 :rule cong :premises (@p5309) :args (@t4219)) % 1.33/1.56 (step @p5311 :rule quant-merge-prenex :args ((= @t4219 @t4221))) % 1.33/1.56 (step @p5312 :rule symm :premises (@p5311)) % 1.33/1.56 (step @p5313 :rule quant_var_reordering :args ((= (forall @t135 @t4217) @t4221))) % 1.33/1.56 (step @p5314 :rule trans :premises (@p5313 @p5312 @p5310)) % 1.33/1.56 (step @p5315 :rule trans :premises (@p5314 @p5305)) % 1.33/1.56 (step @p5316 :rule refl :args ((tptp.setadjoin @t279 tptp.emptyset))) % 1.33/1.56 (step @p5317 :rule cong :premises (@p2898 @p317) :args (@t4214)) % 1.33/1.56 (step @p5318 :rule trans :premises (@p5317 @p5316)) % 1.33/1.56 (step @p5319 :rule ho_cong :premises (@p5222 @p317)) % 1.33/1.56 (step @p5320 :rule cong :premises (@p5319 @p5318) :args ((= (_ @t4195 tptp.emptyset) @t4214))) % 1.33/1.56 (step @p5321 :rule symm :premises (@p5320)) % 1.33/1.56 (step @p5322 :rule refl :args (@t787)) % 1.33/1.56 (step @p5323 :rule eq_resolve :premises (@p5322 @p5321)) % 1.33/1.56 (step @p5324 :rule ho_cong :premises (@p5237 @p317)) % 1.33/1.56 (step @p5325 :rule trans :premises (@p5324 @p5323)) % 1.33/1.56 (step @p5326 :rule cong :premises (@p5239 @p5325) :args (@t788)) % 1.33/1.56 (step @p5327 :rule refl :args (@t282)) % 1.33/1.56 (step @p5328 :rule nary_cong :premises (@p5327 @p5326) :args (@t4222)) % 1.33/1.56 (step @p5329 :rule cong :premises (@p5328) :args ((forall @t135 @t4222))) % 1.33/1.56 (step @p5330 :rule trans :premises (@p5329 @p5315)) % 1.33/1.56 (step @p5331 :rule bool-impl-elim :args (@t129 @t788)) % 1.33/1.56 (step @p5332 :rule cong :premises (@p5331) :args (@t789)) % 1.33/1.56 (step @p5333 :rule trans :premises (@p5332 @p5330)) % 1.33/1.56 (step @p5334 :rule refl :args (tptp.setukpairinjR12)) % 1.33/1.56 (step @p5335 :rule cong :premises (@p5334 @p5333) :args (@t790)) % 1.33/1.56 (step @p5336 :rule eq_resolve :premises (@p167 @p5335)) % 1.33/1.56 (step @p5337 :rule cong :premises (@p5336 @p5297) :args (@t4223)) % 1.33/1.56 (step @p5338 :rule aci_norm :args ((= (or false @t2132) @t2132))) % 1.33/1.56 (step @p5339 :rule refl :args (@t2132)) % 1.33/1.56 (step @p5340 :rule nary_cong :premises (@p5302 @p5339) :args (@t4224)) % 1.33/1.56 (step @p5341 :rule trans :premises (@p5340 @p5338)) % 1.33/1.56 (step @p5342 :rule cong :premises (@p5341) :args ((forall @t70 @t4224))) % 1.33/1.56 (step @p5343 :rule quant-var-elim-eq :args ((= (forall @t9 @t4226) @t4224))) % 1.33/1.56 (step @p5344 :rule aci_norm :args ((= @t4227 @t4226))) % 1.33/1.56 (step @p5345 :rule cong :premises (@p5344) :args (@t4228)) % 1.33/1.56 (step @p5346 :rule trans :premises (@p5345 @p5343)) % 1.33/1.56 (step @p5347 :rule cong :premises (@p5346) :args (@t4229)) % 1.33/1.56 (step @p5348 :rule quant-merge-prenex :args ((= @t4229 @t4230))) % 1.33/1.56 (step @p5349 :rule symm :premises (@p5348)) % 1.33/1.56 (step @p5350 :rule quant_var_reordering :args ((= (forall @t135 @t4227) @t4230))) % 1.33/1.56 (step @p5351 :rule trans :premises (@p5350 @p5349 @p5347)) % 1.33/1.56 (step @p5352 :rule trans :premises (@p5351 @p5342)) % 1.33/1.56 (step @p5353 :rule cong :premises (@p2902 @p2490) :args (@t4231)) % 1.33/1.56 (step @p5354 :rule nary_cong :premises (@p5327 @p5353) :args (@t4232)) % 1.33/1.56 (step @p5355 :rule cong :premises (@p5354) :args ((forall @t135 @t4232))) % 1.33/1.56 (step @p5356 :rule trans :premises (@p5355 @p5352)) % 1.33/1.56 (step @p5357 :rule bool-impl-elim :args (@t129 @t4231)) % 1.33/1.56 (step @p5358 :rule cong :premises (@p5357) :args ((forall @t135 (=> @t129 @t4231)))) % 1.33/1.56 (step @p5359 :rule trans :premises (@p5358 @p5356)) % 1.33/1.56 (step @p5360 :rule eq-symm :args (@t293 @t279)) % 1.33/1.56 (step @p5361 :rule refl :args (@t129)) % 1.33/1.56 (step @p5362 :rule cong :premises (@p5361 @p5360) :args (@t784)) % 1.33/1.56 (step @p5363 :rule cong :premises (@p5362) :args (@t785)) % 1.33/1.56 (step @p5364 :rule trans :premises (@p5363 @p5359)) % 1.33/1.56 (step @p5365 :rule refl :args (tptp.setukpairinjR11)) % 1.33/1.56 (step @p5366 :rule cong :premises (@p5365 @p5364) :args (@t786)) % 1.33/1.56 (step @p5367 :rule eq_resolve :premises (@p166 @p5366)) % 1.33/1.56 (step @p5368 :rule cong :premises (@p5367 @p5337) :args (@t4233)) % 1.33/1.56 (step @p5369 :rule refl :args (@t744)) % 1.33/1.56 (step @p5370 :rule nary_cong :premises (@p5159 @p5369) :args (@t4234)) % 1.33/1.56 (step @p5371 :rule cong :premises (@p5370) :args ((forall @t777 @t4234))) % 1.33/1.56 (step @p5372 :rule bool-impl-elim :args (@t781 @t744)) % 1.33/1.56 (step @p5373 :rule cong :premises (@p5372) :args (@t782)) % 1.33/1.56 (step @p5374 :rule trans :premises (@p5373 @p5371)) % 1.33/1.56 (step @p5375 :rule refl :args (tptp.setukpairinjL)) % 1.33/1.56 (step @p5376 :rule cong :premises (@p5375 @p5374) :args (@t783)) % 1.33/1.56 (step @p5377 :rule eq_resolve :premises (@p165 @p5376)) % 1.33/1.56 (step @p5378 :rule cong :premises (@p5377 @p5368) :args (@t4235)) % 1.33/1.56 (step @p5379 :rule nary_cong :premises (@p5241 @p5369) :args (@t4236)) % 1.33/1.56 (step @p5380 :rule cong :premises (@p5379) :args ((forall @t777 @t4236))) % 1.33/1.56 (step @p5381 :rule bool-impl-elim :args (@t776 @t744)) % 1.33/1.56 (step @p5382 :rule cong :premises (@p5381) :args (@t778)) % 1.33/1.56 (step @p5383 :rule trans :premises (@p5382 @p5380)) % 1.33/1.56 (step @p5384 :rule refl :args (tptp.setukpairinjL2)) % 1.33/1.56 (step @p5385 :rule cong :premises (@p5384 @p5383) :args (@t779)) % 1.33/1.56 (step @p5386 :rule eq_resolve :premises (@p164 @p5385)) % 1.33/1.56 (step @p5387 :rule cong :premises (@p5386 @p5378) :args (@t4237)) % 1.33/1.56 (step @p5388 :rule refl :args ((tptp.in @t768 @t2))) % 1.33/1.56 (step @p5389 :rule cong :premises (@p4864 @p1248) :args (@t2136)) % 1.33/1.56 (step @p5390 :rule trans :premises (@p5389 @p5388)) % 1.33/1.56 (step @p5391 :rule ho_cong :premises (@p1255 @p4864)) % 1.33/1.56 (step @p5392 :rule ho_cong :premises (@p5391 @p1248)) % 1.33/1.56 (step @p5393 :rule cong :premises (@p5392 @p5390) :args ((= (_ (_ tptp.in @t2073) @t2) @t2136))) % 1.33/1.56 (step @p5394 :rule symm :premises (@p5393)) % 1.33/1.56 (step @p5395 :rule refl :args (@t769)) % 1.33/1.56 (step @p5396 :rule eq_resolve :premises (@p5395 @p5394)) % 1.33/1.56 (step @p5397 :rule ho_cong :premises (@p1255 @p4881)) % 1.33/1.56 (step @p5398 :rule ho_cong :premises (@p5397 @p1248)) % 1.33/1.56 (step @p5399 :rule trans :premises (@p5398 @p5396)) % 1.33/1.56 (step @p5400 :rule nary_cong :premises (@p4898 @p5399) :args (@t4238)) % 1.33/1.56 (step @p5401 :rule cong :premises (@p5400) :args ((forall @t689 @t4238))) % 1.33/1.56 (step @p5402 :rule bool-impl-elim :args (@t687 @t769)) % 1.33/1.56 (step @p5403 :rule cong :premises (@p5402) :args (@t770)) % 1.33/1.56 (step @p5404 :rule trans :premises (@p5403 @p5401)) % 1.33/1.56 (step @p5405 :rule refl :args (tptp.cartprodfstin)) % 1.33/1.56 (step @p5406 :rule cong :premises (@p5405 @p5404) :args (@t771)) % 1.33/1.56 (step @p5407 :rule eq_resolve :premises (@p163 @p5406)) % 1.33/1.56 (step @p5408 :rule cong :premises (@p5407 @p5387) :args (@t4239)) % 1.33/1.56 (step @p5409 :rule cong :premises (@p4988) :args ((forall @t135 @t4174))) % 1.33/1.56 (step @p5410 :rule cong :premises (@p4994) :args (@t766)) % 1.33/1.56 (step @p5411 :rule trans :premises (@p5410 @p5409)) % 1.33/1.56 (step @p5412 :rule refl :args (tptp.kfstpairEq)) % 1.33/1.56 (step @p5413 :rule cong :premises (@p5412 @p5411) :args (@t767)) % 1.33/1.56 (step @p5414 :rule eq_resolve :premises (@p162 @p5413)) % 1.33/1.56 (step @p5415 :rule cong :premises (@p5414 @p5408) :args (@t4240)) % 1.33/1.56 (step @p5416 :rule refl :args ((tptp.in @t759 @t695))) % 1.33/1.56 (step @p5417 :rule cong :premises (@p2704 @p786) :args (@t2141)) % 1.33/1.56 (step @p5418 :rule trans :premises (@p5417 @p5416)) % 1.33/1.56 (step @p5419 :rule ho_cong :premises (@p1255 @p2704)) % 1.33/1.56 (step @p5420 :rule ho_cong :premises (@p5419 @p786)) % 1.33/1.56 (step @p5421 :rule cong :premises (@p5420 @p5418) :args ((= (_ (_ tptp.in @t1849) @t695) @t2141))) % 1.33/1.56 (step @p5422 :rule symm :premises (@p5421)) % 1.33/1.56 (step @p5423 :rule refl :args (@t760)) % 1.33/1.56 (step @p5424 :rule eq_resolve :premises (@p5423 @p5422)) % 1.33/1.56 (step @p5425 :rule ho_cong :premises (@p1255 @p2708)) % 1.33/1.56 (step @p5426 :rule ho_cong :premises (@p5425 @p786)) % 1.33/1.56 (step @p5427 :rule trans :premises (@p5426 @p5424)) % 1.33/1.56 (step @p5428 :rule nary_cong :premises (@p2697 @p5427) :args (@t4241)) % 1.33/1.56 (step @p5429 :rule cong :premises (@p5428) :args ((forall @t700 @t4241))) % 1.33/1.56 (step @p5430 :rule bool-impl-elim :args (@t761 @t760)) % 1.33/1.56 (step @p5431 :rule cong :premises (@p5430) :args (@t762)) % 1.33/1.56 (step @p5432 :rule trans :premises (@p5431 @p5429)) % 1.33/1.56 (step @p5433 :rule refl :args (tptp.theprop)) % 1.33/1.56 (step @p5434 :rule cong :premises (@p5433 @p5432) :args (@t763)) % 1.33/1.56 (step @p5435 :rule eq_resolve :premises (@p161 @p5434)) % 1.33/1.56 (step @p5436 :rule cong :premises (@p5435 @p5415) :args (@t4242)) % 1.33/1.56 (step @p5437 :rule refl :args ((tptp.singleton @t754))) % 1.33/1.56 (step @p5438 :rule refl :args ((tptp.dsetconstr @t752 @t751))) % 1.33/1.56 (step @p5439 :rule refl :args ((tptp.in @t279 @t383))) % 1.33/1.56 (step @p5440 :rule cong :premises (@p2898 @p4885) :args (@t2143)) % 1.33/1.56 (step @p5441 :rule trans :premises (@p5440 @p5439)) % 1.33/1.56 (step @p5442 :rule cong :premises (@p5441) :args (@t2144)) % 1.33/1.56 (step @p5443 :rule cong :premises (@p5108 @p5442) :args (@t2145)) % 1.33/1.56 (step @p5444 :rule trans :premises (@p5443 @p5438)) % 1.33/1.56 (step @p5445 :rule cong :premises (@p5444) :args (@t2146)) % 1.33/1.56 (step @p5446 :rule trans :premises (@p5445 @p5437)) % 1.33/1.56 (step @p5447 :rule ho_cong :premises (@p2801 @p5444)) % 1.33/1.56 (step @p5448 :rule cong :premises (@p5447 @p5446) :args ((= (_ tptp.singleton @t2145) @t2146))) % 1.33/1.56 (step @p5449 :rule symm :premises (@p5448)) % 1.33/1.56 (step @p5450 :rule refl :args (@t755)) % 1.33/1.56 (step @p5451 :rule eq_resolve :premises (@p5450 @p5449)) % 1.33/1.56 (step @p5452 :rule ho_cong :premises (@p5119 @p5442)) % 1.33/1.56 (step @p5453 :rule cong :premises (@p5452 @p5444) :args ((= (_ @t4189 @t2144) @t2145))) % 1.33/1.56 (step @p5454 :rule symm :premises (@p5453)) % 1.33/1.56 (step @p5455 :rule refl :args (@t754)) % 1.33/1.56 (step @p5456 :rule eq_resolve :premises (@p5455 @p5454)) % 1.33/1.56 (step @p5457 :rule ho_cong :premises (@p1255 @p2898)) % 1.33/1.56 (step @p5458 :rule ho_cong :premises (@p5457 @p4885)) % 1.33/1.56 (step @p5459 :rule cong :premises (@p5458 @p5441) :args ((= (_ @t4243 @t383) @t2143))) % 1.33/1.56 (step @p5460 :rule symm :premises (@p5459)) % 1.33/1.56 (step @p5461 :rule refl :args (@t750)) % 1.33/1.56 (step @p5462 :rule eq_resolve :premises (@p5461 @p5460)) % 1.33/1.56 (step @p5463 :rule ho_cong :premises (@p1255 @p2902)) % 1.33/1.56 (step @p5464 :rule ho_cong :premises (@p5463 @p4885)) % 1.33/1.56 (step @p5465 :rule trans :premises (@p5464 @p5462)) % 1.33/1.56 (step @p5466 :rule cong :premises (@p5465) :args (@t751)) % 1.33/1.56 (step @p5467 :rule ho_cong :premises (@p5138 @p5466)) % 1.33/1.56 (step @p5468 :rule trans :premises (@p5467 @p5456)) % 1.33/1.56 (step @p5469 :rule ho_cong :premises (@p2801 @p5468)) % 1.33/1.56 (step @p5470 :rule trans :premises (@p5469 @p5451)) % 1.33/1.56 (step @p5471 :rule nary_cong :premises (@p5080 @p5470) :args (@t4244)) % 1.33/1.56 (step @p5472 :rule cong :premises (@p5471) :args ((forall @t756 @t4244))) % 1.33/1.56 (step @p5473 :rule bool-impl-elim :args (@t692 @t755)) % 1.33/1.56 (step @p5474 :rule cong :premises (@p5473) :args (@t757)) % 1.33/1.56 (step @p5475 :rule trans :premises (@p5474 @p5472)) % 1.33/1.56 (step @p5476 :rule refl :args (tptp.kfstsingleton)) % 1.33/1.56 (step @p5477 :rule cong :premises (@p5476 @p5475) :args (@t758)) % 1.33/1.56 (step @p5478 :rule eq_resolve :premises (@p160 @p5477)) % 1.33/1.56 (step @p5479 :rule cong :premises (@p5478 @p5436) :args (@t4245)) % 1.33/1.56 (step @p5480 :rule refl :args ((tptp.in @t746 @t621))) % 1.33/1.56 (step @p5481 :rule cong :premises (@p5178 @p5221) :args (@t2148)) % 1.33/1.56 (step @p5482 :rule trans :premises (@p5481 @p5480)) % 1.33/1.56 (step @p5483 :rule ho_cong :premises (@p1255 @p5178)) % 1.33/1.56 (step @p5484 :rule ho_cong :premises (@p5483 @p5221)) % 1.33/1.56 (step @p5485 :rule cong :premises (@p5484 @p5482) :args ((= (_ (_ tptp.in @t2116) @t2121) @t2148))) % 1.33/1.56 (step @p5486 :rule symm :premises (@p5485)) % 1.33/1.56 (step @p5487 :rule refl :args (@t747)) % 1.33/1.56 (step @p5488 :rule eq_resolve :premises (@p5487 @p5486)) % 1.33/1.56 (step @p5489 :rule ho_cong :premises (@p1255 @p5212)) % 1.33/1.56 (step @p5490 :rule ho_cong :premises (@p5489 @p5239)) % 1.33/1.56 (step @p5491 :rule trans :premises (@p5490 @p5488)) % 1.33/1.56 (step @p5492 :rule cong :premises (@p5491) :args (@t4246)) % 1.33/1.56 (step @p5493 :rule nary_cong :premises (@p5492 @p5369) :args (@t4247)) % 1.33/1.56 (step @p5494 :rule cong :premises (@p5493) :args ((forall @t297 @t4247))) % 1.33/1.56 (step @p5495 :rule bool-impl-elim :args (@t747 @t744)) % 1.33/1.56 (step @p5496 :rule cong :premises (@p5495) :args (@t748)) % 1.33/1.56 (step @p5497 :rule trans :premises (@p5496 @p5494)) % 1.33/1.56 (step @p5498 :rule refl :args (tptp.setukpairinjL1)) % 1.33/1.56 (step @p5499 :rule cong :premises (@p5498 @p5497) :args (@t749)) % 1.33/1.56 (step @p5500 :rule eq_resolve :premises (@p159 @p5499)) % 1.33/1.56 (step @p5501 :rule cong :premises (@p5500 @p5479) :args (@t4248)) % 1.33/1.56 (step @p5502 :rule cong :premises (@p2488 @p2902) :args (@t4249)) % 1.33/1.56 (step @p5503 :rule cong :premises (@p5502) :args (@t4250)) % 1.33/1.56 (step @p5504 :rule nary_cong :premises (@p5503 @p4188) :args (@t4251)) % 1.33/1.56 (step @p5505 :rule cong :premises (@p5504) :args ((forall @t135 @t4251))) % 1.33/1.56 (step @p5506 :rule bool-impl-elim :args (@t4249 @t129)) % 1.33/1.56 (step @p5507 :rule cong :premises (@p5506) :args ((forall @t135 (=> @t4249 @t129)))) % 1.33/1.56 (step @p5508 :rule trans :premises (@p5507 @p5505)) % 1.33/1.56 (step @p5509 :rule eq-symm :args (@t279 @t275)) % 1.33/1.56 (step @p5510 :rule cong :premises (@p5509 @p5361) :args (@t741)) % 1.33/1.56 (step @p5511 :rule cong :premises (@p5510) :args (@t742)) % 1.33/1.56 (step @p5512 :rule trans :premises (@p5511 @p5508)) % 1.33/1.56 (step @p5513 :rule refl :args (tptp.singletonsuniq)) % 1.33/1.56 (step @p5514 :rule cong :premises (@p5513 @p5512) :args (@t743)) % 1.33/1.56 (step @p5515 :rule eq_resolve :premises (@p158 @p5514)) % 1.33/1.56 (step @p5516 :rule cong :premises (@p5515 @p5501) :args (@t4252)) % 1.33/1.56 (step @p5517 :rule aci_norm :args ((= @t4254 @t2164))) % 1.33/1.56 (step @p5518 :rule cong :premises (@p5517) :args (@t4255)) % 1.33/1.56 (step @p5519 :rule quant-merge-prenex :args ((= (forall @t311 @t4257) @t4255))) % 1.33/1.56 (step @p5520 :rule refl :args (@t1997)) % 1.33/1.56 (step @p5521 :rule alpha_equiv :args (@t4258 (@list @t2151) @t2902)) % 1.33/1.56 (step @p5522 :rule refl :args (@t2163)) % 1.33/1.56 (step @p5523 :rule nary_cong :premises (@p5522 @p5521 @p5520) :args (@t4259)) % 1.33/1.56 (step @p5524 :rule quant-miniscope-or :args ((= @t4257 @t4259))) % 1.33/1.56 (step @p5525 :rule trans :premises (@p5524 @p5523)) % 1.33/1.56 (step @p5526 :rule symm :premises (@p5525)) % 1.33/1.56 (step @p5527 :rule cong :premises (@p5526) :args ((forall @t311 (or @t2163 @t2174 @t1997)))) % 1.33/1.56 (step @p5528 :rule trans :premises (@p5527 @p5519)) % 1.33/1.56 (step @p5529 :rule trans :premises (@p5528 @p5518)) % 1.33/1.56 (step @p5530 :rule refl :args (@t2174)) % 1.33/1.56 (step @p5531 :rule refl :args (@t2163)) % 1.33/1.56 (step @p5532 :rule nary_cong :premises (@p5531 @p5530 @p4125) :args (@t4260)) % 1.33/1.56 (step @p5533 :rule cong :premises (@p5532) :args ((forall @t311 @t4260))) % 1.33/1.56 (step @p5534 :rule trans :premises (@p5533 @p5529)) % 1.33/1.56 (step @p5535 :rule refl :args (@t2174)) % 1.33/1.56 (step @p5536 :rule nary_cong :premises (@p5522 @p5535 @p4158) :args (@t4261)) % 1.33/1.56 (step @p5537 :rule cong :premises (@p5536) :args ((forall @t311 @t4261))) % 1.33/1.56 (step @p5538 :rule trans :premises (@p5537 @p5534)) % 1.33/1.56 (step @p5539 :rule aci_norm :args ((= (or @t2163 (or @t2174 @t716)) @t4261))) % 1.33/1.56 (step @p5540 :rule bool-double-not-elim :args (@t2174)) % 1.33/1.56 (step @p5541 :rule nary_cong :premises (@p5540 @p4142) :args ((or @t4262 @t716))) % 1.33/1.56 (step @p5542 :rule bool-impl-elim :args (@t2175 @t716)) % 1.33/1.56 (step @p5543 :rule trans :premises (@p5542 @p5541)) % 1.33/1.56 (step @p5544 :rule nary_cong :premises (@p5522 @p5543) :args ((or @t2163 @t4263))) % 1.33/1.56 (step @p5545 :rule trans :premises (@p5544 @p5539)) % 1.33/1.56 (step @p5546 :rule bool-impl-elim :args (@t2162 @t4263)) % 1.33/1.56 (step @p5547 :rule trans :premises (@p5546 @p5545)) % 1.33/1.56 (step @p5548 :rule cong :premises (@p5547) :args ((forall @t311 (=> @t2162 @t4263)))) % 1.33/1.56 (step @p5549 :rule trans :premises (@p5548 @p5538)) % 1.33/1.56 (step @p5550 :rule nary_cong :premises (@p910 @p4179) :args (@t4264)) % 1.33/1.56 (step @p5551 :rule cong :premises (@p5550) :args ((forall @t9 @t4264))) % 1.33/1.56 (step @p5552 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 1.33/1.56 (step @p5553 :rule cong :premises (@p5552) :args (@t4265)) % 1.33/1.56 (step @p5554 :rule trans :premises (@p5553 @p5551)) % 1.33/1.56 (step @p5555 :rule cong :premises (@p5554) :args (@t4266)) % 1.33/1.56 (step @p5556 :rule exists-elim :args ((= @t309 @t4266))) % 1.33/1.56 (step @p5557 :rule trans :premises (@p5556 @p5555)) % 1.33/1.56 (step @p5558 :rule cong :premises (@p5557 @p4230) :args (@t4267)) % 1.33/1.56 (step @p5559 :rule cong :premises (@p4220 @p5558) :args (@t4268)) % 1.33/1.56 (step @p5560 :rule cong :premises (@p5559) :args (@t4269)) % 1.33/1.56 (step @p5561 :rule trans :premises (@p5560 @p5549)) % 1.33/1.56 (step @p5562 :rule refl :args (tptp.ex1I2)) % 1.33/1.56 (step @p5563 :rule cong :premises (@p5562 @p5561) :args ((= tptp.ex1I2 @t4269))) % 1.33/1.56 (step @p5564 :rule refl :args (@t309)) % 1.33/1.56 (step @p5565 :rule cong :premises (@p5564 @p4238) :args (@t737)) % 1.33/1.56 (step @p5566 :rule cong :premises (@p4236 @p5565) :args (@t738)) % 1.33/1.56 (step @p5567 :rule cong :premises (@p5566) :args (@t739)) % 1.33/1.56 (step @p5568 :rule cong :premises (@p5562 @p5567) :args (@t740)) % 1.33/1.56 (step @p5569 :rule trans :premises (@p5568 @p5563)) % 1.33/1.56 (step @p5570 :rule eq_resolve :premises (@p157 @p5569)) % 1.33/1.56 (step @p5571 :rule cong :premises (@p5570 @p5516) :args (@t4270)) % 1.33/1.56 (step @p5572 :rule lambda-elim :args ((= @t4274 @t143))) % 1.33/1.56 (step @p5573 :rule cong :premises (@p2773 @p5572) :args (@t4275)) % 1.33/1.56 (step @p5574 :rule cong :premises (@p5573) :args (@t4276)) % 1.33/1.56 (step @p5575 :rule refl :args (@t2172)) % 1.33/1.56 (step @p5576 :rule refl :args (@t2159)) % 1.33/1.56 (step @p5577 :rule nary_cong :premises (@p2602 @p5576 @p5575 @p5574) :args (@t4277)) % 1.33/1.56 (step @p5578 :rule cong :premises (@p5577) :args ((forall @t159 @t4277))) % 1.33/1.56 (step @p5579 :rule refl :args ((tptp.singleton @t4280))) % 1.33/1.56 (step @p5580 :rule refl :args ((tptp.dsetconstr @t2 @t4279))) % 1.33/1.56 (step @p5581 :rule refl :args (@t4272)) % 1.33/1.56 (step @p5582 :rule cong :premises (@p5581) :args (@t4274)) % 1.33/1.56 (step @p5583 :rule cong :premises (@p1248 @p5582) :args (@t4275)) % 1.33/1.56 (step @p5584 :rule trans :premises (@p5583 @p5580)) % 1.33/1.56 (step @p5585 :rule cong :premises (@p5584) :args (@t4276)) % 1.33/1.56 (step @p5586 :rule trans :premises (@p5585 @p5579)) % 1.33/1.56 (step @p5587 :rule ho_cong :premises (@p2801 @p5584)) % 1.33/1.56 (step @p5588 :rule cong :premises (@p5587 @p5586) :args ((= (_ tptp.singleton @t4275) @t4276))) % 1.33/1.56 (step @p5589 :rule symm :premises (@p5588)) % 1.33/1.56 (step @p5590 :rule refl :args (@t4281)) % 1.33/1.56 (step @p5591 :rule eq_resolve :premises (@p5590 @p5589)) % 1.33/1.56 (step @p5592 :rule ho_cong :premises (@p4144 @p5582)) % 1.33/1.56 (step @p5593 :rule cong :premises (@p5592 @p5584) :args ((= (_ @t155 @t4274) @t4275))) % 1.33/1.56 (step @p5594 :rule symm :premises (@p5593)) % 1.33/1.56 (step @p5595 :rule refl :args (@t4280)) % 1.33/1.56 (step @p5596 :rule eq_resolve :premises (@p5595 @p5594)) % 1.33/1.56 (step @p5597 :rule refl :args (@t4278)) % 1.33/1.56 (step @p5598 :rule cong :premises (@p5597 @p5581) :args ((= @t4278 @t4272))) % 1.33/1.56 (step @p5599 :rule symm :premises (@p5598)) % 1.33/1.56 (step @p5600 :rule eq_resolve :premises (@p5597 @p5599)) % 1.33/1.56 (step @p5601 :rule cong :premises (@p5600) :args (@t4279)) % 1.33/1.56 (step @p5602 :rule ho_cong :premises (@p4144 @p5601)) % 1.33/1.56 (step @p5603 :rule trans :premises (@p5602 @p5596)) % 1.33/1.56 (step @p5604 :rule ho_cong :premises (@p2801 @p5603)) % 1.33/1.56 (step @p5605 :rule trans :premises (@p5604 @p5591)) % 1.33/1.56 (step @p5606 :rule refl :args (@t2172)) % 1.33/1.56 (step @p5607 :rule nary_cong :premises (@p910 @p4179 @p5606 @p5605) :args (@t4282)) % 1.33/1.56 (step @p5608 :rule cong :premises (@p5607) :args ((forall @t159 @t4282))) % 1.33/1.56 (step @p5609 :rule trans :premises (@p5608 @p5578)) % 1.33/1.56 (step @p5610 :rule aci_norm :args ((= (or @t197 @t4283) @t4282))) % 1.33/1.56 (step @p5611 :rule aci_norm :args ((= (or @t317 (or @t2172 @t4281)) @t4283))) % 1.33/1.56 (step @p5612 :rule bool-impl-elim :args (@t2171 @t4281)) % 1.33/1.56 (step @p5613 :rule nary_cong :premises (@p4207 @p5612) :args ((or @t317 @t4284))) % 1.33/1.56 (step @p5614 :rule trans :premises (@p5613 @p5611)) % 1.33/1.56 (step @p5615 :rule bool-impl-elim :args (@t144 @t4284)) % 1.33/1.56 (step @p5616 :rule trans :premises (@p5615 @p5614)) % 1.33/1.56 (step @p5617 :rule nary_cong :premises (@p915 @p5616) :args ((or @t197 @t4285))) % 1.33/1.56 (step @p5618 :rule trans :premises (@p5617 @p5610)) % 1.33/1.56 (step @p5619 :rule bool-impl-elim :args (@t7 @t4285)) % 1.33/1.56 (step @p5620 :rule trans :premises (@p5619 @p5618)) % 1.33/1.56 (step @p5621 :rule cong :premises (@p5620) :args ((forall @t159 (=> @t7 @t4285)))) % 1.33/1.56 (step @p5622 :rule trans :premises (@p5621 @p5609)) % 1.33/1.56 (step @p5623 :rule alpha_equiv :args (@t145 @t2902 (@list @t4271))) % 1.33/1.56 (step @p5624 :rule ho_cong :premises (@p4144 @p5623)) % 1.33/1.56 (step @p5625 :rule ho_cong :premises (@p2801 @p5624)) % 1.33/1.56 (step @p5626 :rule cong :premises (@p4178 @p5625) :args (@t4286)) % 1.33/1.56 (step @p5627 :rule cong :premises (@p4150 @p5626) :args (@t4287)) % 1.33/1.56 (step @p5628 :rule cong :premises (@p906 @p5627) :args (@t4288)) % 1.33/1.56 (step @p5629 :rule cong :premises (@p5628) :args ((forall @t159 @t4288))) % 1.33/1.56 (step @p5630 :rule trans :premises (@p5629 @p5622)) % 1.33/1.56 (step @p5631 :rule beta-reduce :args ((= @t4289 @t144))) % 1.33/1.56 (step @p5632 :rule cong :premises (@p5631) :args (@t4290)) % 1.33/1.56 (step @p5633 :rule ho_cong :premises (@p2824 @p5632)) % 1.33/1.56 (step @p5634 :rule ho_cong :premises (@p2826 @p5633)) % 1.33/1.56 (step @p5635 :rule beta-reduce :args ((= (_ @t3984 @t154) (_ tptp.singleton (_ @t155 @t4290))))) % 1.33/1.56 (step @p5636 :rule trans :premises (@p5635 @p5634)) % 1.33/1.56 (step @p5637 :rule refl :args (@t154)) % 1.33/1.56 (step @p5638 :rule ho_cong :premises (@p4228 @p5637)) % 1.33/1.56 (step @p5639 :rule trans :premises (@p5638 @p5636)) % 1.33/1.56 (step @p5640 :rule aci_norm :args ((= (or @t3424 @t3981) @t3975))) % 1.33/1.56 (step @p5641 :rule nary_cong :premises (@p2577 @p4206) :args ((or @t3424 @t166))) % 1.33/1.56 (step @p5642 :rule trans :premises (@p5641 @p5640)) % 1.33/1.56 (step @p5643 :rule bool-impl-elim :args (@t21 @t166)) % 1.33/1.56 (step @p5644 :rule trans :premises (@p5643 @p5642)) % 1.33/1.56 (step @p5645 :rule cong :premises (@p5644) :args ((forall @t70 (=> @t21 @t166)))) % 1.33/1.56 (step @p5646 :rule trans :premises (@p5645 @p4196)) % 1.33/1.56 (step @p5647 :rule eq-symm :args (@t19 @t4)) % 1.33/1.56 (step @p5648 :rule refl :args (@t153)) % 1.33/1.56 (step @p5649 :rule cong :premises (@p5648 @p5647) :args (@t729)) % 1.33/1.56 (step @p5650 :rule cong :premises (@p2587 @p5649) :args (@t730)) % 1.33/1.56 (step @p5651 :rule cong :premises (@p5650) :args (@t731)) % 1.33/1.56 (step @p5652 :rule trans :premises (@p5651 @p5646)) % 1.33/1.56 (step @p5653 :rule cong :premises (@p5652 @p5639) :args (@t4291)) % 1.33/1.56 (step @p5654 :rule refl :args (@t144)) % 1.33/1.56 (step @p5655 :rule cong :premises (@p5654 @p5653) :args (@t4292)) % 1.33/1.56 (step @p5656 :rule cong :premises (@p2509 @p5655) :args (@t4293)) % 1.33/1.56 (step @p5657 :rule cong :premises (@p5656) :args (@t4294)) % 1.33/1.56 (step @p5658 :rule trans :premises (@p5657 @p5630)) % 1.33/1.56 (step @p5659 :rule refl :args (tptp.ex1I)) % 1.33/1.56 (step @p5660 :rule cong :premises (@p5659 @p5658) :args ((= tptp.ex1I @t4294))) % 1.33/1.56 (step @p5661 :rule ho_cong :premises (@p4237 @p5637)) % 1.33/1.56 (step @p5662 :rule refl :args (@t731)) % 1.33/1.56 (step @p5663 :rule cong :premises (@p5662 @p5661) :args (@t732)) % 1.33/1.56 (step @p5664 :rule cong :premises (@p5654 @p5663) :args (@t733)) % 1.33/1.56 (step @p5665 :rule cong :premises (@p2509 @p5664) :args (@t734)) % 1.33/1.56 (step @p5666 :rule cong :premises (@p5665) :args (@t735)) % 1.33/1.56 (step @p5667 :rule cong :premises (@p5659 @p5666) :args (@t736)) % 1.33/1.56 (step @p5668 :rule trans :premises (@p5667 @p5660)) % 1.33/1.56 (step @p5669 :rule eq_resolve :premises (@p156 @p5668)) % 1.33/1.56 (step @p5670 :rule cong :premises (@p5669 @p5571) :args (@t4295)) % 1.33/1.56 (step @p5671 :rule refl :args (@t2175)) % 1.33/1.56 (step @p5672 :rule nary_cong :premises (@p4126 @p5671) :args (@t4296)) % 1.33/1.56 (step @p5673 :rule cong :premises (@p5672) :args ((forall @t311 @t4296))) % 1.33/1.56 (step @p5674 :rule refl :args (@t2175)) % 1.33/1.56 (step @p5675 :rule nary_cong :premises (@p4159 @p5674) :args (@t4297)) % 1.33/1.56 (step @p5676 :rule cong :premises (@p5675) :args ((forall @t311 @t4297))) % 1.33/1.56 (step @p5677 :rule trans :premises (@p5676 @p5673)) % 1.33/1.56 (step @p5678 :rule bool-impl-elim :args (@t716 @t2175)) % 1.33/1.56 (step @p5679 :rule cong :premises (@p5678) :args ((forall @t311 (=> @t716 @t2175)))) % 1.33/1.56 (step @p5680 :rule trans :premises (@p5679 @p5677)) % 1.33/1.56 (step @p5681 :rule cong :premises (@p4230 @p5557) :args (@t4298)) % 1.33/1.56 (step @p5682 :rule cong :premises (@p5681) :args (@t4299)) % 1.33/1.56 (step @p5683 :rule trans :premises (@p5682 @p5680)) % 1.33/1.56 (step @p5684 :rule refl :args (tptp.ex1E1)) % 1.33/1.56 (step @p5685 :rule cong :premises (@p5684 @p5683) :args ((= tptp.ex1E1 @t4299))) % 1.33/1.56 (step @p5686 :rule cong :premises (@p4238 @p5564) :args (@t726)) % 1.33/1.56 (step @p5687 :rule cong :premises (@p5686) :args (@t727)) % 1.33/1.56 (step @p5688 :rule cong :premises (@p5684 @p5687) :args (@t728)) % 1.33/1.56 (step @p5689 :rule trans :premises (@p5688 @p5685)) % 1.33/1.56 (step @p5690 :rule eq_resolve :premises (@p155 @p5689)) % 1.33/1.56 (step @p5691 :rule cong :premises (@p5690 @p5670) :args (@t4300)) % 1.33/1.56 (step @p5692 :rule refl :args (@t716)) % 1.33/1.56 (step @p5693 :rule cong :premises (@p5557 @p5692) :args (@t717)) % 1.33/1.56 (step @p5694 :rule cong :premises (@p4220 @p5693) :args (@t721)) % 1.33/1.56 (step @p5695 :rule cong :premises (@p5694) :args (@t722)) % 1.33/1.56 (step @p5696 :rule trans :premises (@p5695 @p5549)) % 1.33/1.56 (step @p5697 :rule refl :args (tptp.singletonprop)) % 1.33/1.56 (step @p5698 :rule cong :premises (@p5697 @p5696) :args (@t723)) % 1.33/1.56 (step @p5699 :rule eq_resolve :premises (@p154 @p5698)) % 1.33/1.56 (step @p5700 :rule cong :premises (@p5699 @p5691) :args (@t4301)) % 1.33/1.56 (step @p5701 :rule refl :args ((tptp.setunion @t279))) % 1.33/1.56 (step @p5702 :rule cong :premises (@p2898) :args (@t2177)) % 1.33/1.56 (step @p5703 :rule trans :premises (@p5702 @p5701)) % 1.33/1.56 (step @p5704 :rule ho_cong :premises (@p4586 @p2898)) % 1.33/1.56 (step @p5705 :rule cong :premises (@p5704 @p5703) :args ((= (_ tptp.setunion @t1864) @t2177))) % 1.33/1.56 (step @p5706 :rule symm :premises (@p5705)) % 1.33/1.56 (step @p5707 :rule refl :args (@t713)) % 1.33/1.56 (step @p5708 :rule eq_resolve :premises (@p5707 @p5706)) % 1.33/1.56 (step @p5709 :rule ho_cong :premises (@p4586 @p2902)) % 1.33/1.56 (step @p5710 :rule trans :premises (@p5709 @p5708)) % 1.33/1.56 (step @p5711 :rule cong :premises (@p874 @p5710) :args (@t4302)) % 1.33/1.56 (step @p5712 :rule cong :premises (@p5711) :args ((forall @t9 @t4302))) % 1.33/1.56 (step @p5713 :rule eq-symm :args (@t713 @t4)) % 1.33/1.56 (step @p5714 :rule cong :premises (@p5713) :args (@t714)) % 1.33/1.56 (step @p5715 :rule trans :premises (@p5714 @p5712)) % 1.33/1.56 (step @p5716 :rule refl :args (tptp.setunionsingleton)) % 1.33/1.56 (step @p5717 :rule cong :premises (@p5716 @p5715) :args (@t715)) % 1.33/1.56 (step @p5718 :rule eq_resolve :premises (@p153 @p5717)) % 1.33/1.56 (step @p5719 :rule cong :premises (@p5718 @p5700) :args (@t4303)) % 1.33/1.56 (step @p5720 :rule refl :args ((tptp.subset @t2 @t706))) % 1.33/1.56 (step @p5721 :rule refl :args ((tptp.setunion @t705))) % 1.33/1.56 (step @p5722 :rule refl :args (@t2179)) % 1.33/1.56 (step @p5723 :rule cong :premises (@p5722) :args (@t2180)) % 1.33/1.56 (step @p5724 :rule trans :premises (@p5723 @p5721)) % 1.33/1.56 (step @p5725 :rule cong :premises (@p1248 @p5724) :args (@t2181)) % 1.33/1.56 (step @p5726 :rule trans :premises (@p5725 @p5720)) % 1.33/1.56 (step @p5727 :rule refl :args (@t421)) % 1.33/1.56 (step @p5728 :rule ho_cong :premises (@p5727 @p5724)) % 1.33/1.56 (step @p5729 :rule cong :premises (@p5728 @p5726) :args ((= (_ @t421 @t2180) @t2181))) % 1.33/1.56 (step @p5730 :rule symm :premises (@p5729)) % 1.33/1.56 (step @p5731 :rule refl :args (@t710)) % 1.33/1.56 (step @p5732 :rule eq_resolve :premises (@p5731 @p5730)) % 1.33/1.56 (step @p5733 :rule ho_cong :premises (@p4586 @p5722)) % 1.33/1.56 (step @p5734 :rule cong :premises (@p5733 @p5724) :args ((= (_ tptp.setunion @t2179) @t2180))) % 1.33/1.56 (step @p5735 :rule symm :premises (@p5734)) % 1.33/1.56 (step @p5736 :rule refl :args (@t706)) % 1.33/1.56 (step @p5737 :rule eq_resolve :premises (@p5736 @p5735)) % 1.33/1.56 (step @p5738 :rule refl :args (@t705)) % 1.33/1.56 (step @p5739 :rule cong :premises (@p5738 @p5722) :args ((= @t705 @t2179))) % 1.33/1.56 (step @p5740 :rule symm :premises (@p5739)) % 1.33/1.56 (step @p5741 :rule eq_resolve :premises (@p5738 @p5740)) % 1.33/1.56 (step @p5742 :rule ho_cong :premises (@p4586 @p5741)) % 1.33/1.56 (step @p5743 :rule trans :premises (@p5742 @p5737)) % 1.33/1.56 (step @p5744 :rule ho_cong :premises (@p5727 @p5743)) % 1.33/1.56 (step @p5745 :rule trans :premises (@p5744 @p5732)) % 1.33/1.56 (step @p5746 :rule cong :premises (@p5745) :args (@t711)) % 1.33/1.56 (step @p5747 :rule refl :args (tptp.setunionsingleton2)) % 1.33/1.56 (step @p5748 :rule cong :premises (@p5747 @p5746) :args (@t712)) % 1.33/1.56 (step @p5749 :rule eq_resolve :premises (@p152 @p5748)) % 1.33/1.56 (step @p5750 :rule cong :premises (@p5749 @p5719) :args (@t4304)) % 1.33/1.56 (step @p5751 :rule refl :args ((tptp.subset @t706 @t2))) % 1.33/1.56 (step @p5752 :rule cong :premises (@p5724 @p1248) :args (@t2183)) % 1.33/1.56 (step @p5753 :rule trans :premises (@p5752 @p5751)) % 1.33/1.56 (step @p5754 :rule ho_cong :premises (@p1314 @p5724)) % 1.33/1.56 (step @p5755 :rule ho_cong :premises (@p5754 @p1248)) % 1.33/1.56 (step @p5756 :rule cong :premises (@p5755 @p5753) :args ((= (_ (_ tptp.subset @t2180) @t2) @t2183))) % 1.33/1.56 (step @p5757 :rule symm :premises (@p5756)) % 1.33/1.56 (step @p5758 :rule refl :args (@t707)) % 1.33/1.56 (step @p5759 :rule eq_resolve :premises (@p5758 @p5757)) % 1.33/1.56 (step @p5760 :rule ho_cong :premises (@p1314 @p5743)) % 1.33/1.56 (step @p5761 :rule ho_cong :premises (@p5760 @p1248)) % 1.33/1.56 (step @p5762 :rule trans :premises (@p5761 @p5759)) % 1.33/1.56 (step @p5763 :rule cong :premises (@p5762) :args (@t708)) % 1.33/1.56 (step @p5764 :rule refl :args (tptp.setunionsingleton1)) % 1.33/1.56 (step @p5765 :rule cong :premises (@p5764 @p5763) :args (@t709)) % 1.33/1.56 (step @p5766 :rule eq_resolve :premises (@p151 @p5765)) % 1.33/1.56 (step @p5767 :rule cong :premises (@p5766 @p5750) :args (@t4305)) % 1.33/1.56 (step @p5768 :rule refl :args (@t2186)) % 1.33/1.56 (step @p5769 :rule refl :args ((tptp.in @t4 @t43))) % 1.33/1.56 (step @p5770 :rule refl :args (@t2187)) % 1.33/1.56 (step @p5771 :rule cong :premises (@p874 @p5770) :args (@t2188)) % 1.33/1.56 (step @p5772 :rule trans :premises (@p5771 @p5769)) % 1.33/1.56 (step @p5773 :rule ho_cong :premises (@p877 @p5770)) % 1.33/1.56 (step @p5774 :rule cong :premises (@p5773 @p5772) :args ((= (_ @t5 @t2187) @t2188))) % 1.33/1.56 (step @p5775 :rule symm :premises (@p5774)) % 1.33/1.56 (step @p5776 :rule refl :args (@t44)) % 1.33/1.56 (step @p5777 :rule eq_resolve :premises (@p5776 @p5775)) % 1.33/1.56 (step @p5778 :rule refl :args (@t43)) % 1.33/1.56 (step @p5779 :rule cong :premises (@p5778 @p5770) :args ((= @t43 @t2187))) % 1.33/1.56 (step @p5780 :rule symm :premises (@p5779)) % 1.33/1.56 (step @p5781 :rule eq_resolve :premises (@p5778 @p5780)) % 1.33/1.56 (step @p5782 :rule ho_cong :premises (@p877 @p5781)) % 1.33/1.56 (step @p5783 :rule trans :premises (@p5782 @p5777)) % 1.33/1.56 (step @p5784 :rule cong :premises (@p5783) :args (@t4306)) % 1.33/1.56 (step @p5785 :rule nary_cong :premises (@p5784 @p5768) :args (@t4307)) % 1.33/1.56 (step @p5786 :rule cong :premises (@p5785) :args ((forall @t46 @t4307))) % 1.33/1.56 (step @p5787 :rule bool-impl-elim :args (@t44 @t2186)) % 1.33/1.56 (step @p5788 :rule cong :premises (@p5787) :args ((forall @t46 (=> @t44 @t2186)))) % 1.33/1.56 (step @p5789 :rule trans :premises (@p5788 @p5786)) % 1.33/1.56 (step @p5790 :rule refl :args (@t2185)) % 1.33/1.56 (step @p5791 :rule refl :args (@t698)) % 1.33/1.56 (step @p5792 :rule cong :premises (@p5791 @p5790) :args ((= @t698 @t2185))) % 1.33/1.56 (step @p5793 :rule symm :premises (@p5792)) % 1.33/1.56 (step @p5794 :rule eq_resolve :premises (@p5791 @p5793)) % 1.33/1.56 (step @p5795 :rule cong :premises (@p5794) :args (@t4308)) % 1.33/1.56 (step @p5796 :rule nary_cong :premises (@p5795 @p1060) :args (@t4309)) % 1.33/1.56 (step @p5797 :rule cong :premises (@p5796) :args ((forall @t700 @t4309))) % 1.33/1.56 (step @p5798 :rule bool-and-de-morgan :args (@t698 @t696 true)) % 1.33/1.56 (step @p5799 :rule cong :premises (@p5798) :args (@t4310)) % 1.33/1.56 (step @p5800 :rule trans :premises (@p5799 @p5797)) % 1.33/1.56 (step @p5801 :rule cong :premises (@p5800) :args (@t4311)) % 1.33/1.56 (step @p5802 :rule exists-elim :args ((= @t701 @t4311))) % 1.33/1.56 (step @p5803 :rule trans :premises (@p5802 @p5801)) % 1.33/1.56 (step @p5804 :rule refl :args (@t44)) % 1.33/1.56 (step @p5805 :rule cong :premises (@p5804 @p5803) :args (@t702)) % 1.33/1.56 (step @p5806 :rule cong :premises (@p5805) :args (@t703)) % 1.33/1.56 (step @p5807 :rule trans :premises (@p5806 @p5789)) % 1.33/1.56 (step @p5808 :rule refl :args (tptp.setunionE2)) % 1.33/1.56 (step @p5809 :rule cong :premises (@p5808 @p5807) :args (@t704)) % 1.33/1.56 (step @p5810 :rule eq_resolve :premises (@p150 @p5809)) % 1.33/1.56 (step @p5811 :rule cong :premises (@p5810 @p5767) :args (@t4312)) % 1.33/1.56 (step @p5812 :rule nary_cong :premises (@p4898 @p5079) :args (@t4313)) % 1.33/1.56 (step @p5813 :rule cong :premises (@p5812) :args ((forall @t689 @t4313))) % 1.33/1.56 (step @p5814 :rule bool-impl-elim :args (@t687 @t692)) % 1.33/1.56 (step @p5815 :rule cong :premises (@p5814) :args (@t693)) % 1.33/1.56 (step @p5816 :rule trans :premises (@p5815 @p5813)) % 1.33/1.56 (step @p5817 :rule refl :args (tptp.cartprodmempair)) % 1.33/1.56 (step @p5818 :rule cong :premises (@p5817 @p5816) :args (@t694)) % 1.33/1.56 (step @p5819 :rule eq_resolve :premises (@p149 @p5818)) % 1.33/1.56 (step @p5820 :rule cong :premises (@p5819 @p5811) :args (@t4314)) % 1.33/1.56 (step @p5821 :rule refl :args (@t2197)) % 1.33/1.56 (step @p5822 :rule nary_cong :premises (@p4898 @p5821) :args (@t4315)) % 1.33/1.56 (step @p5823 :rule cong :premises (@p5822) :args ((forall @t689 @t4315))) % 1.33/1.56 (step @p5824 :rule bool-impl-elim :args (@t687 @t2197)) % 1.33/1.56 (step @p5825 :rule cong :premises (@p5824) :args ((forall @t689 (=> @t687 @t2197)))) % 1.33/1.56 (step @p5826 :rule trans :premises (@p5825 @p5823)) % 1.33/1.56 (step @p5827 :rule aci_norm :args ((= @t4317 @t2195))) % 1.33/1.56 (step @p5828 :rule cong :premises (@p5827) :args (@t4318)) % 1.33/1.56 (step @p5829 :rule quant-merge-prenex :args ((= (forall @t9 @t4320) @t4318))) % 1.33/1.56 (step @p5830 :rule alpha_equiv :args (@t4321 (@list @t2192) @t3417)) % 1.33/1.56 (step @p5831 :rule nary_cong :premises (@p2450 @p5830) :args (@t4322)) % 1.33/1.56 (step @p5832 :rule quant-miniscope-or :args ((= @t4320 @t4322))) % 1.33/1.56 (step @p5833 :rule trans :premises (@p5832 @p5831)) % 1.33/1.56 (step @p5834 :rule symm :premises (@p5833)) % 1.33/1.56 (step @p5835 :rule cong :premises (@p5834) :args ((forall @t9 (or @t1795 @t4323)))) % 1.33/1.56 (step @p5836 :rule trans :premises (@p5835 @p5829)) % 1.33/1.56 (step @p5837 :rule trans :premises (@p5836 @p5828)) % 1.33/1.56 (step @p5838 :rule refl :args (@t4323)) % 1.33/1.56 (step @p5839 :rule nary_cong :premises (@p910 @p5838) :args (@t4324)) % 1.33/1.56 (step @p5840 :rule cong :premises (@p5839) :args ((forall @t9 @t4324))) % 1.33/1.56 (step @p5841 :rule trans :premises (@p5840 @p5837)) % 1.33/1.56 (step @p5842 :rule bool-double-not-elim :args (@t4323)) % 1.33/1.56 (step @p5843 :rule nary_cong :premises (@p915 @p5842) :args ((or @t197 (not @t4325)))) % 1.33/1.56 (step @p5844 :rule bool-and-de-morgan :args (@t7 @t4325 true)) % 1.33/1.56 (step @p5845 :rule trans :premises (@p5844 @p5843)) % 1.33/1.56 (step @p5846 :rule cong :premises (@p5845) :args (@t4327)) % 1.33/1.56 (step @p5847 :rule trans :premises (@p5846 @p5841)) % 1.33/1.56 (step @p5848 :rule cong :premises (@p5847) :args (@t4328)) % 1.33/1.56 (step @p5849 :rule exists-elim :args ((= (exists @t9 @t4326) @t4328))) % 1.33/1.56 (step @p5850 :rule trans :premises (@p5849 @p5848)) % 1.33/1.56 (step @p5851 :rule cong :premises (@p4885 @p3666) :args (@t681)) % 1.33/1.56 (step @p5852 :rule cong :premises (@p5851) :args (@t4329)) % 1.33/1.56 (step @p5853 :rule nary_cong :premises (@p3686 @p5852) :args (@t4330)) % 1.33/1.56 (step @p5854 :rule cong :premises (@p5853) :args ((forall @t70 @t4330))) % 1.33/1.56 (step @p5855 :rule bool-and-de-morgan :args (@t354 @t681 true)) % 1.33/1.56 (step @p5856 :rule cong :premises (@p5855) :args (@t4331)) % 1.33/1.56 (step @p5857 :rule trans :premises (@p5856 @p5854)) % 1.33/1.56 (step @p5858 :rule cong :premises (@p5857) :args (@t4332)) % 1.33/1.56 (step @p5859 :rule exists-elim :args ((= @t683 @t4332))) % 1.33/1.56 (step @p5860 :rule trans :premises (@p5859 @p5858)) % 1.33/1.56 (step @p5861 :rule nary_cong :premises (@p2509 @p5860) :args (@t684)) % 1.33/1.56 (step @p5862 :rule cong :premises (@p5861) :args (@t685)) % 1.33/1.56 (step @p5863 :rule trans :premises (@p5862 @p5850)) % 1.33/1.56 (step @p5864 :rule cong :premises (@p4905 @p5863) :args (@t688)) % 1.33/1.56 (step @p5865 :rule cong :premises (@p5864) :args (@t690)) % 1.33/1.56 (step @p5866 :rule trans :premises (@p5865 @p5826)) % 1.33/1.56 (step @p5867 :rule refl :args (tptp.cartprodmempair1)) % 1.33/1.56 (step @p5868 :rule cong :premises (@p5867 @p5866) :args (@t691)) % 1.33/1.56 (step @p5869 :rule eq_resolve :premises (@p148 @p5868)) % 1.33/1.56 (step @p5870 :rule cong :premises (@p5869 @p5820) :args (@t4333)) % 1.33/1.56 (step @p5871 :rule aci_norm :args ((= @t4335 @t2202))) % 1.33/1.56 (step @p5872 :rule cong :premises (@p5871) :args (@t4336)) % 1.33/1.56 (step @p5873 :rule quant-merge-prenex :args ((= (forall @t245 @t4338) @t4336))) % 1.33/1.56 (step @p5874 :rule alpha_equiv :args (@t4339 (@list @t2199) @t3417)) % 1.33/1.56 (step @p5875 :rule nary_cong :premises (@p2450 @p5874) :args (@t4340)) % 1.33/1.56 (step @p5876 :rule quant-miniscope-or :args ((= @t4338 @t4340))) % 1.33/1.56 (step @p5877 :rule trans :premises (@p5876 @p5875)) % 1.33/1.56 (step @p5878 :rule symm :premises (@p5877)) % 1.33/1.56 (step @p5879 :rule cong :premises (@p5878) :args ((forall @t245 (or @t1795 @t4341)))) % 1.33/1.56 (step @p5880 :rule trans :premises (@p5879 @p5873)) % 1.33/1.56 (step @p5881 :rule trans :premises (@p5880 @p5872)) % 1.33/1.56 (step @p5882 :rule refl :args (@t4341)) % 1.33/1.56 (step @p5883 :rule nary_cong :premises (@p910 @p5882) :args (@t4342)) % 1.33/1.56 (step @p5884 :rule cong :premises (@p5883) :args ((forall @t245 @t4342))) % 1.33/1.56 (step @p5885 :rule trans :premises (@p5884 @p5881)) % 1.33/1.56 (step @p5886 :rule bool-impl-elim :args (@t7 @t4341)) % 1.33/1.56 (step @p5887 :rule cong :premises (@p5886) :args ((forall @t245 (=> @t7 @t4341)))) % 1.33/1.56 (step @p5888 :rule trans :premises (@p5887 @p5885)) % 1.33/1.56 (step @p5889 :rule nary_cong :premises (@p3686 @p5034) :args (@t4343)) % 1.33/1.56 (step @p5890 :rule cong :premises (@p5889) :args ((forall @t70 @t4343))) % 1.33/1.56 (step @p5891 :rule bool-impl-elim :args (@t354 @t676)) % 1.33/1.56 (step @p5892 :rule cong :premises (@p5891) :args (@t677)) % 1.33/1.56 (step @p5893 :rule trans :premises (@p5892 @p5890)) % 1.33/1.56 (step @p5894 :rule cong :premises (@p2509 @p5893) :args (@t678)) % 1.33/1.56 (step @p5895 :rule cong :premises (@p5894) :args (@t679)) % 1.33/1.56 (step @p5896 :rule trans :premises (@p5895 @p5888)) % 1.33/1.56 (step @p5897 :rule refl :args (tptp.cartprodpairin)) % 1.33/1.56 (step @p5898 :rule cong :premises (@p5897 @p5896) :args (@t680)) % 1.33/1.56 (step @p5899 :rule eq_resolve :premises (@p147 @p5898)) % 1.33/1.56 (step @p5900 :rule cong :premises (@p5899 @p5870) :args (@t4344)) % 1.33/1.56 (step @p5901 :rule aci_norm :args ((= @t4346 @t2211))) % 1.33/1.56 (step @p5902 :rule cong :premises (@p5901) :args (@t4347)) % 1.33/1.56 (step @p5903 :rule quant-merge-prenex :args ((= (forall @t245 @t4349) @t4347))) % 1.33/1.56 (step @p5904 :rule alpha_equiv :args (@t4350 (@list @t2208) @t3417)) % 1.33/1.56 (step @p5905 :rule nary_cong :premises (@p2450 @p5904) :args (@t4351)) % 1.33/1.56 (step @p5906 :rule quant-miniscope-or :args ((= @t4349 @t4351))) % 1.33/1.56 (step @p5907 :rule trans :premises (@p5906 @p5905)) % 1.33/1.56 (step @p5908 :rule symm :premises (@p5907)) % 1.33/1.56 (step @p5909 :rule cong :premises (@p5908) :args ((forall @t245 (or @t1795 @t4353)))) % 1.33/1.56 (step @p5910 :rule trans :premises (@p5909 @p5903)) % 1.33/1.56 (step @p5911 :rule trans :premises (@p5910 @p5902)) % 1.33/1.56 (step @p5912 :rule refl :args (@t4353)) % 1.33/1.56 (step @p5913 :rule nary_cong :premises (@p910 @p5912) :args (@t4354)) % 1.33/1.56 (step @p5914 :rule cong :premises (@p5913) :args ((forall @t245 @t4354))) % 1.33/1.56 (step @p5915 :rule trans :premises (@p5914 @p5911)) % 1.33/1.56 (step @p5916 :rule bool-impl-elim :args (@t7 @t4353)) % 1.33/1.56 (step @p5917 :rule cong :premises (@p5916) :args ((forall @t245 (=> @t7 @t4353)))) % 1.33/1.56 (step @p5918 :rule trans :premises (@p5917 @p5915)) % 1.33/1.56 (step @p5919 :rule refl :args ((tptp.in @t633 @t663))) % 1.33/1.56 (step @p5920 :rule refl :args ((tptp.powerset @t644))) % 1.33/1.56 (step @p5921 :rule refl :args ((tptp.powerset @t494))) % 1.33/1.56 (step @p5922 :rule refl :args (@t2205)) % 1.33/1.56 (step @p5923 :rule cong :premises (@p5922) :args (@t2206)) % 1.33/1.56 (step @p5924 :rule trans :premises (@p5923 @p5921)) % 1.33/1.56 (step @p5925 :rule cong :premises (@p5924) :args (@t2207)) % 1.33/1.56 (step @p5926 :rule trans :premises (@p5925 @p5920)) % 1.33/1.56 (step @p5927 :rule cong :premises (@p3654 @p5926) :args (@t4352)) % 1.33/1.56 (step @p5928 :rule trans :premises (@p5927 @p5919)) % 1.33/1.56 (step @p5929 :rule ho_cong :premises (@p3657 @p5926)) % 1.33/1.56 (step @p5930 :rule cong :premises (@p5929 @p5928) :args ((= (_ @t3793 @t2207) @t4352))) % 1.33/1.56 (step @p5931 :rule symm :premises (@p5930)) % 1.33/1.56 (step @p5932 :rule refl :args (@t670)) % 1.33/1.56 (step @p5933 :rule eq_resolve :premises (@p5932 @p5931)) % 1.33/1.56 (step @p5934 :rule ho_cong :premises (@p1262 @p5924)) % 1.33/1.56 (step @p5935 :rule cong :premises (@p5934 @p5926) :args ((= (_ tptp.powerset @t2206) @t2207))) % 1.33/1.56 (step @p5936 :rule symm :premises (@p5935)) % 1.33/1.56 (step @p5937 :rule refl :args (@t663)) % 1.33/1.56 (step @p5938 :rule eq_resolve :premises (@p5937 @p5936)) % 1.33/1.56 (step @p5939 :rule ho_cong :premises (@p1262 @p5922)) % 1.33/1.56 (step @p5940 :rule cong :premises (@p5939 @p5924) :args ((= (_ tptp.powerset @t2205) @t2206))) % 1.33/1.56 (step @p5941 :rule symm :premises (@p5940)) % 1.33/1.56 (step @p5942 :rule refl :args (@t644)) % 1.33/1.56 (step @p5943 :rule eq_resolve :premises (@p5942 @p5941)) % 1.33/1.56 (step @p5944 :rule refl :args (@t494)) % 1.33/1.56 (step @p5945 :rule cong :premises (@p5944 @p5922) :args ((= @t494 @t2205))) % 1.33/1.56 (step @p5946 :rule symm :premises (@p5945)) % 1.33/1.56 (step @p5947 :rule eq_resolve :premises (@p5944 @p5946)) % 1.33/1.56 (step @p5948 :rule ho_cong :premises (@p1262 @p5947)) % 1.33/1.56 (step @p5949 :rule trans :premises (@p5948 @p5943)) % 1.33/1.56 (step @p5950 :rule ho_cong :premises (@p1262 @p5949)) % 1.33/1.56 (step @p5951 :rule trans :premises (@p5950 @p5938)) % 1.33/1.56 (step @p5952 :rule ho_cong :premises (@p3667 @p5951)) % 1.33/1.56 (step @p5953 :rule trans :premises (@p5952 @p5933)) % 1.33/1.56 (step @p5954 :rule nary_cong :premises (@p3686 @p5953) :args (@t4355)) % 1.33/1.56 (step @p5955 :rule cong :premises (@p5954) :args ((forall @t70 @t4355))) % 1.33/1.56 (step @p5956 :rule bool-impl-elim :args (@t354 @t670)) % 1.33/1.56 (step @p5957 :rule cong :premises (@p5956) :args (@t671)) % 1.33/1.56 (step @p5958 :rule trans :premises (@p5957 @p5955)) % 1.33/1.56 (step @p5959 :rule cong :premises (@p2509 @p5958) :args (@t672)) % 1.33/1.56 (step @p5960 :rule cong :premises (@p5959) :args (@t673)) % 1.33/1.56 (step @p5961 :rule trans :premises (@p5960 @p5918)) % 1.33/1.56 (step @p5962 :rule refl :args (tptp.ubforcartprodlem3)) % 1.33/1.56 (step @p5963 :rule cong :premises (@p5962 @p5961) :args (@t674)) % 1.33/1.56 (step @p5964 :rule eq_resolve :premises (@p146 @p5963)) % 1.33/1.56 (step @p5965 :rule cong :premises (@p5964 @p5900) :args (@t4356)) % 1.33/1.56 (step @p5966 :rule aci_norm :args ((= @t4358 @t2217))) % 1.33/1.56 (step @p5967 :rule cong :premises (@p5966) :args (@t4359)) % 1.33/1.56 (step @p5968 :rule quant-merge-prenex :args ((= (forall @t245 @t4361) @t4359))) % 1.33/1.56 (step @p5969 :rule alpha_equiv :args (@t4362 (@list @t2214) @t3417)) % 1.33/1.56 (step @p5970 :rule nary_cong :premises (@p2450 @p5969) :args (@t4363)) % 1.33/1.56 (step @p5971 :rule quant-miniscope-or :args ((= @t4361 @t4363))) % 1.33/1.56 (step @p5972 :rule trans :premises (@p5971 @p5970)) % 1.33/1.56 (step @p5973 :rule symm :premises (@p5972)) % 1.33/1.56 (step @p5974 :rule cong :premises (@p5973) :args ((forall @t245 (or @t1795 @t4365)))) % 1.33/1.56 (step @p5975 :rule trans :premises (@p5974 @p5968)) % 1.33/1.56 (step @p5976 :rule trans :premises (@p5975 @p5967)) % 1.33/1.56 (step @p5977 :rule refl :args (@t4365)) % 1.33/1.56 (step @p5978 :rule nary_cong :premises (@p910 @p5977) :args (@t4366)) % 1.33/1.56 (step @p5979 :rule cong :premises (@p5978) :args ((forall @t245 @t4366))) % 1.33/1.56 (step @p5980 :rule trans :premises (@p5979 @p5976)) % 1.33/1.56 (step @p5981 :rule bool-impl-elim :args (@t7 @t4365)) % 1.33/1.56 (step @p5982 :rule cong :premises (@p5981) :args ((forall @t245 (=> @t7 @t4365)))) % 1.33/1.56 (step @p5983 :rule trans :premises (@p5982 @p5980)) % 1.33/1.56 (step @p5984 :rule refl :args ((tptp.in @t621 @t663))) % 1.33/1.56 (step @p5985 :rule cong :premises (@p5221 @p5926) :args (@t4364)) % 1.33/1.56 (step @p5986 :rule trans :premises (@p5985 @p5984)) % 1.33/1.56 (step @p5987 :rule ho_cong :premises (@p1255 @p5221)) % 1.33/1.56 (step @p5988 :rule ho_cong :premises (@p5987 @p5926)) % 1.33/1.56 (step @p5989 :rule cong :premises (@p5988 @p5986) :args ((= (_ (_ tptp.in @t2121) @t2207) @t4364))) % 1.33/1.56 (step @p5990 :rule symm :premises (@p5989)) % 1.33/1.56 (step @p5991 :rule refl :args (@t664)) % 1.33/1.56 (step @p5992 :rule eq_resolve :premises (@p5991 @p5990)) % 1.33/1.56 (step @p5993 :rule ho_cong :premises (@p1255 @p5239)) % 1.33/1.56 (step @p5994 :rule ho_cong :premises (@p5993 @p5951)) % 1.33/1.56 (step @p5995 :rule trans :premises (@p5994 @p5992)) % 1.33/1.56 (step @p5996 :rule nary_cong :premises (@p3686 @p5995) :args (@t4367)) % 1.33/1.56 (step @p5997 :rule cong :premises (@p5996) :args ((forall @t70 @t4367))) % 1.33/1.56 (step @p5998 :rule bool-impl-elim :args (@t354 @t664)) % 1.33/1.56 (step @p5999 :rule cong :premises (@p5998) :args (@t665)) % 1.33/1.56 (step @p6000 :rule trans :premises (@p5999 @p5997)) % 1.33/1.56 (step @p6001 :rule cong :premises (@p2509 @p6000) :args (@t666)) % 1.33/1.56 (step @p6002 :rule cong :premises (@p6001) :args (@t667)) % 1.33/1.56 (step @p6003 :rule trans :premises (@p6002 @p5983)) % 1.33/1.56 (step @p6004 :rule refl :args (tptp.ubforcartprodlem2)) % 1.33/1.56 (step @p6005 :rule cong :premises (@p6004 @p6003) :args (@t668)) % 1.33/1.56 (step @p6006 :rule eq_resolve :premises (@p145 @p6005)) % 1.33/1.56 (step @p6007 :rule cong :premises (@p6006 @p5965) :args (@t4368)) % 1.33/1.56 (step @p6008 :rule aci_norm :args ((= @t4370 @t2223))) % 1.33/1.56 (step @p6009 :rule cong :premises (@p6008) :args (@t4371)) % 1.33/1.56 (step @p6010 :rule quant-merge-prenex :args ((= (forall @t245 @t4373) @t4371))) % 1.33/1.56 (step @p6011 :rule alpha_equiv :args (@t4374 (@list @t2220) @t3417)) % 1.33/1.56 (step @p6012 :rule nary_cong :premises (@p2450 @p6011) :args (@t4375)) % 1.33/1.56 (step @p6013 :rule quant-miniscope-or :args ((= @t4373 @t4375))) % 1.33/1.56 (step @p6014 :rule trans :premises (@p6013 @p6012)) % 1.33/1.56 (step @p6015 :rule symm :premises (@p6014)) % 1.33/1.56 (step @p6016 :rule cong :premises (@p6015) :args ((forall @t245 (or @t1795 @t4377)))) % 1.33/1.56 (step @p6017 :rule trans :premises (@p6016 @p6010)) % 1.33/1.56 (step @p6018 :rule trans :premises (@p6017 @p6009)) % 1.33/1.56 (step @p6019 :rule refl :args (@t4377)) % 1.33/1.56 (step @p6020 :rule nary_cong :premises (@p910 @p6019) :args (@t4378)) % 1.33/1.56 (step @p6021 :rule cong :premises (@p6020) :args ((forall @t245 @t4378))) % 1.33/1.56 (step @p6022 :rule trans :premises (@p6021 @p6018)) % 1.33/1.56 (step @p6023 :rule bool-impl-elim :args (@t7 @t4377)) % 1.33/1.56 (step @p6024 :rule cong :premises (@p6023) :args ((forall @t245 (=> @t7 @t4377)))) % 1.33/1.56 (step @p6025 :rule trans :premises (@p6024 @p6022)) % 1.33/1.56 (step @p6026 :rule refl :args ((tptp.subset @t621 @t644))) % 1.33/1.56 (step @p6027 :rule cong :premises (@p5221 @p5924) :args (@t4376)) % 1.33/1.56 (step @p6028 :rule trans :premises (@p6027 @p6026)) % 1.33/1.56 (step @p6029 :rule ho_cong :premises (@p1314 @p5221)) % 1.33/1.56 (step @p6030 :rule ho_cong :premises (@p6029 @p5924)) % 1.33/1.56 (step @p6031 :rule cong :premises (@p6030 @p6028) :args ((= (_ (_ tptp.subset @t2121) @t2206) @t4376))) % 1.33/1.56 (step @p6032 :rule symm :premises (@p6031)) % 1.33/1.56 (step @p6033 :rule refl :args (@t658)) % 1.33/1.56 (step @p6034 :rule eq_resolve :premises (@p6033 @p6032)) % 1.33/1.56 (step @p6035 :rule ho_cong :premises (@p1314 @p5239)) % 1.33/1.56 (step @p6036 :rule ho_cong :premises (@p6035 @p5949)) % 1.33/1.56 (step @p6037 :rule trans :premises (@p6036 @p6034)) % 1.33/1.56 (step @p6038 :rule nary_cong :premises (@p3686 @p6037) :args (@t4379)) % 1.33/1.56 (step @p6039 :rule cong :premises (@p6038) :args ((forall @t70 @t4379))) % 1.33/1.56 (step @p6040 :rule bool-impl-elim :args (@t354 @t658)) % 1.33/1.56 (step @p6041 :rule cong :premises (@p6040) :args (@t659)) % 1.33/1.56 (step @p6042 :rule trans :premises (@p6041 @p6039)) % 1.33/1.56 (step @p6043 :rule cong :premises (@p2509 @p6042) :args (@t660)) % 1.33/1.56 (step @p6044 :rule cong :premises (@p6043) :args (@t661)) % 1.33/1.56 (step @p6045 :rule trans :premises (@p6044 @p6025)) % 1.33/1.56 (step @p6046 :rule refl :args (tptp.ubforcartprodlem1)) % 1.33/1.56 (step @p6047 :rule cong :premises (@p6046 @p6045) :args (@t662)) % 1.33/1.56 (step @p6048 :rule eq_resolve :premises (@p144 @p6047)) % 1.33/1.56 (step @p6049 :rule cong :premises (@p6048 @p6007) :args (@t4380)) % 1.33/1.56 (step @p6050 :rule aci_norm :args ((= @t4382 @t2229))) % 1.33/1.56 (step @p6051 :rule cong :premises (@p6050) :args (@t4383)) % 1.33/1.56 (step @p6052 :rule quant-merge-prenex :args ((= (forall @t245 @t4385) @t4383))) % 1.33/1.56 (step @p6053 :rule alpha_equiv :args (@t4386 (@list @t2226) @t3417)) % 1.33/1.56 (step @p6054 :rule nary_cong :premises (@p2450 @p6053) :args (@t4387)) % 1.33/1.56 (step @p6055 :rule quant-miniscope-or :args ((= @t4385 @t4387))) % 1.33/1.56 (step @p6056 :rule trans :premises (@p6055 @p6054)) % 1.33/1.56 (step @p6057 :rule symm :premises (@p6056)) % 1.33/1.56 (step @p6058 :rule cong :premises (@p6057) :args ((forall @t245 (or @t1795 @t4389)))) % 1.33/1.56 (step @p6059 :rule trans :premises (@p6058 @p6052)) % 1.33/1.56 (step @p6060 :rule trans :premises (@p6059 @p6051)) % 1.33/1.56 (step @p6061 :rule refl :args (@t4389)) % 1.33/1.56 (step @p6062 :rule nary_cong :premises (@p910 @p6061) :args (@t4390)) % 1.33/1.56 (step @p6063 :rule cong :premises (@p6062) :args ((forall @t245 @t4390))) % 1.33/1.56 (step @p6064 :rule trans :premises (@p6063 @p6060)) % 1.33/1.56 (step @p6065 :rule bool-impl-elim :args (@t7 @t4389)) % 1.33/1.56 (step @p6066 :rule cong :premises (@p6065) :args ((forall @t245 (=> @t7 @t4389)))) % 1.33/1.56 (step @p6067 :rule trans :premises (@p6066 @p6064)) % 1.33/1.56 (step @p6068 :rule refl :args ((tptp.in @t293 @t644))) % 1.33/1.56 (step @p6069 :rule cong :premises (@p2469 @p5924) :args (@t4388)) % 1.33/1.56 (step @p6070 :rule trans :premises (@p6069 @p6068)) % 1.33/1.56 (step @p6071 :rule ho_cong :premises (@p1255 @p2469)) % 1.33/1.56 (step @p6072 :rule ho_cong :premises (@p6071 @p5924)) % 1.33/1.56 (step @p6073 :rule cong :premises (@p6072 @p6070) :args ((= (_ (_ tptp.in @t2119) @t2206) @t4388))) % 1.33/1.56 (step @p6074 :rule symm :premises (@p6073)) % 1.33/1.56 (step @p6075 :rule refl :args (@t653)) % 1.33/1.56 (step @p6076 :rule eq_resolve :premises (@p6075 @p6074)) % 1.33/1.56 (step @p6077 :rule ho_cong :premises (@p1255 @p2490)) % 1.33/1.56 (step @p6078 :rule ho_cong :premises (@p6077 @p5949)) % 1.33/1.56 (step @p6079 :rule trans :premises (@p6078 @p6076)) % 1.33/1.56 (step @p6080 :rule nary_cong :premises (@p3686 @p6079) :args (@t4391)) % 1.33/1.56 (step @p6081 :rule cong :premises (@p6080) :args ((forall @t70 @t4391))) % 1.33/1.56 (step @p6082 :rule bool-impl-elim :args (@t354 @t653)) % 1.33/1.56 (step @p6083 :rule cong :premises (@p6082) :args (@t654)) % 1.33/1.56 (step @p6084 :rule trans :premises (@p6083 @p6081)) % 1.33/1.56 (step @p6085 :rule cong :premises (@p2509 @p6084) :args (@t655)) % 1.33/1.56 (step @p6086 :rule cong :premises (@p6085) :args (@t656)) % 1.33/1.56 (step @p6087 :rule trans :premises (@p6086 @p6067)) % 1.33/1.56 (step @p6088 :rule refl :args (tptp.upairinpowunion)) % 1.33/1.56 (step @p6089 :rule cong :premises (@p6088 @p6087) :args (@t657)) % 1.33/1.56 (step @p6090 :rule eq_resolve :premises (@p143 @p6089)) % 1.33/1.56 (step @p6091 :rule cong :premises (@p6090 @p6049) :args (@t4392)) % 1.33/1.56 (step @p6092 :rule aci_norm :args ((= @t4394 @t2235))) % 1.33/1.56 (step @p6093 :rule cong :premises (@p6092) :args (@t4395)) % 1.33/1.56 (step @p6094 :rule quant-merge-prenex :args ((= (forall @t245 @t4397) @t4395))) % 1.33/1.56 (step @p6095 :rule alpha_equiv :args (@t4398 (@list @t2232) @t3417)) % 1.33/1.56 (step @p6096 :rule nary_cong :premises (@p2450 @p6095) :args (@t4399)) % 1.33/1.56 (step @p6097 :rule quant-miniscope-or :args ((= @t4397 @t4399))) % 1.33/1.56 (step @p6098 :rule trans :premises (@p6097 @p6096)) % 1.33/1.56 (step @p6099 :rule symm :premises (@p6098)) % 1.33/1.56 (step @p6100 :rule cong :premises (@p6099) :args ((forall @t245 (or @t1795 @t4401)))) % 1.33/1.56 (step @p6101 :rule trans :premises (@p6100 @p6094)) % 1.33/1.56 (step @p6102 :rule trans :premises (@p6101 @p6093)) % 1.33/1.56 (step @p6103 :rule refl :args (@t4401)) % 1.33/1.56 (step @p6104 :rule nary_cong :premises (@p910 @p6103) :args (@t4402)) % 1.33/1.56 (step @p6105 :rule cong :premises (@p6104) :args ((forall @t245 @t4402))) % 1.33/1.56 (step @p6106 :rule trans :premises (@p6105 @p6102)) % 1.33/1.56 (step @p6107 :rule bool-impl-elim :args (@t7 @t4401)) % 1.33/1.56 (step @p6108 :rule cong :premises (@p6107) :args ((forall @t245 (=> @t7 @t4401)))) % 1.33/1.56 (step @p6109 :rule trans :premises (@p6108 @p6106)) % 1.33/1.56 (step @p6110 :rule refl :args ((tptp.subset @t293 @t494))) % 1.33/1.56 (step @p6111 :rule cong :premises (@p2469 @p5922) :args (@t4400)) % 1.33/1.56 (step @p6112 :rule trans :premises (@p6111 @p6110)) % 1.33/1.56 (step @p6113 :rule ho_cong :premises (@p1314 @p2469)) % 1.33/1.56 (step @p6114 :rule ho_cong :premises (@p6113 @p5922)) % 1.33/1.56 (step @p6115 :rule cong :premises (@p6114 @p6112) :args ((= (_ (_ tptp.subset @t2119) @t2205) @t4400))) % 1.33/1.56 (step @p6116 :rule symm :premises (@p6115)) % 1.33/1.56 (step @p6117 :rule refl :args (@t648)) % 1.33/1.56 (step @p6118 :rule eq_resolve :premises (@p6117 @p6116)) % 1.33/1.56 (step @p6119 :rule ho_cong :premises (@p1314 @p2490)) % 1.33/1.56 (step @p6120 :rule ho_cong :premises (@p6119 @p5947)) % 1.33/1.56 (step @p6121 :rule trans :premises (@p6120 @p6118)) % 1.33/1.56 (step @p6122 :rule nary_cong :premises (@p3686 @p6121) :args (@t4403)) % 1.33/1.56 (step @p6123 :rule cong :premises (@p6122) :args ((forall @t70 @t4403))) % 1.33/1.56 (step @p6124 :rule bool-impl-elim :args (@t354 @t648)) % 1.33/1.56 (step @p6125 :rule cong :premises (@p6124) :args (@t649)) % 1.33/1.56 (step @p6126 :rule trans :premises (@p6125 @p6123)) % 1.33/1.56 (step @p6127 :rule cong :premises (@p2509 @p6126) :args (@t650)) % 1.33/1.56 (step @p6128 :rule cong :premises (@p6127) :args (@t651)) % 1.33/1.56 (step @p6129 :rule trans :premises (@p6128 @p6109)) % 1.33/1.56 (step @p6130 :rule refl :args (tptp.upairsubunion)) % 1.33/1.56 (step @p6131 :rule cong :premises (@p6130 @p6129) :args (@t652)) % 1.33/1.56 (step @p6132 :rule eq_resolve :premises (@p142 @p6131)) % 1.33/1.56 (step @p6133 :rule cong :premises (@p6132 @p6091) :args (@t4404)) % 1.33/1.56 (step @p6134 :rule eq-symm :args (@t2240 tptp.upairset2E)) % 1.33/1.56 (step @p6135 :rule refl :args (tptp.upairset2E)) % 1.33/1.56 (step @p6136 :rule refl :args (@t2238)) % 1.33/1.56 (step @p6137 :rule refl :args ((tptp.in @t289 @t293))) % 1.33/1.56 (step @p6138 :rule cong :premises (@p5173 @p2469) :args (@t2239)) % 1.33/1.56 (step @p6139 :rule trans :premises (@p6138 @p6137)) % 1.33/1.56 (step @p6140 :rule refl :args (@t294)) % 1.33/1.56 (step @p6141 :rule ho_cong :premises (@p6140 @p2469)) % 1.33/1.56 (step @p6142 :rule cong :premises (@p6141 @p6139) :args ((= (_ @t294 @t2119) @t2239))) % 1.33/1.56 (step @p6143 :rule symm :premises (@p6142)) % 1.33/1.56 (step @p6144 :rule refl :args (@t295)) % 1.33/1.56 (step @p6145 :rule eq_resolve :premises (@p6144 @p6143)) % 1.33/1.56 (step @p6146 :rule ho_cong :premises (@p6140 @p2490)) % 1.33/1.56 (step @p6147 :rule trans :premises (@p6146 @p6145)) % 1.33/1.56 (step @p6148 :rule cong :premises (@p6147) :args (@t4405)) % 1.33/1.56 (step @p6149 :rule nary_cong :premises (@p6148 @p5369 @p6136) :args (@t4406)) % 1.33/1.56 (step @p6150 :rule cong :premises (@p6149) :args ((forall @t297 @t4406))) % 1.33/1.56 (step @p6151 :rule aci_norm :args ((= (or @t4405 @t4407) @t4406))) % 1.33/1.56 (step @p6152 :rule bool-impl-elim :args (@t295 @t4407)) % 1.33/1.56 (step @p6153 :rule trans :premises (@p6152 @p6151)) % 1.33/1.56 (step @p6154 :rule cong :premises (@p6153) :args ((forall @t297 (=> @t295 @t4407)))) % 1.33/1.56 (step @p6155 :rule trans :premises (@p6154 @p6150)) % 1.33/1.56 (step @p6156 :rule nary_cong :premises (@p2820 @p2818) :args (@t292)) % 1.33/1.56 (step @p6157 :rule refl :args (@t295)) % 1.33/1.56 (step @p6158 :rule cong :premises (@p6157 @p6156) :args (@t296)) % 1.33/1.56 (step @p6159 :rule cong :premises (@p6158) :args (@t298)) % 1.33/1.56 (step @p6160 :rule trans :premises (@p6159 @p6155)) % 1.33/1.56 (step @p6161 :rule cong :premises (@p6160 @p6135) :args ((= @t298 tptp.upairset2E))) % 1.33/1.56 (step @p6162 :rule trans :premises (@p6161 @p6134)) % 1.33/1.56 (step @p6163 :rule eq-symm :args (tptp.upairset2E @t298)) % 1.33/1.56 (step @p6164 :rule trans :premises (@p6163 @p6162)) % 1.33/1.56 (step @p6165 :rule eq_resolve :premises (@p141 @p6164)) % 1.33/1.56 (step @p6166 :rule cong :premises (@p6165 @p6133) :args (@t4408)) % 1.33/1.56 (step @p6167 :rule refl :args ((tptp.in @t279 @t644))) % 1.33/1.56 (step @p6168 :rule cong :premises (@p2898 @p5924) :args (@t2241)) % 1.33/1.56 (step @p6169 :rule trans :premises (@p6168 @p6167)) % 1.33/1.56 (step @p6170 :rule ho_cong :premises (@p5457 @p5924)) % 1.33/1.56 (step @p6171 :rule cong :premises (@p6170 @p6169) :args ((= (_ @t4243 @t2206) @t2241))) % 1.33/1.56 (step @p6172 :rule symm :premises (@p6171)) % 1.33/1.56 (step @p6173 :rule refl :args (@t645)) % 1.33/1.56 (step @p6174 :rule eq_resolve :premises (@p6173 @p6172)) % 1.33/1.56 (step @p6175 :rule ho_cong :premises (@p5463 @p5949)) % 1.33/1.56 (step @p6176 :rule trans :premises (@p6175 @p6174)) % 1.33/1.56 (step @p6177 :rule nary_cong :premises (@p910 @p6176) :args (@t4409)) % 1.33/1.56 (step @p6178 :rule cong :premises (@p6177) :args ((forall @t245 @t4409))) % 1.33/1.56 (step @p6179 :rule bool-impl-elim :args (@t7 @t645)) % 1.33/1.56 (step @p6180 :rule cong :premises (@p6179) :args (@t646)) % 1.33/1.56 (step @p6181 :rule trans :premises (@p6180 @p6178)) % 1.33/1.56 (step @p6182 :rule refl :args (tptp.singletoninpowunion)) % 1.33/1.56 (step @p6183 :rule cong :premises (@p6182 @p6181) :args (@t647)) % 1.33/1.56 (step @p6184 :rule eq_resolve :premises (@p140 @p6183)) % 1.33/1.56 (step @p6185 :rule cong :premises (@p6184 @p6166) :args (@t4410)) % 1.33/1.56 (step @p6186 :rule refl :args ((tptp.in @t279 @t33))) % 1.33/1.56 (step @p6187 :rule cong :premises (@p2898 @p785) :args (@t2243)) % 1.33/1.56 (step @p6188 :rule trans :premises (@p6187 @p6186)) % 1.33/1.56 (step @p6189 :rule ho_cong :premises (@p5457 @p785)) % 1.33/1.56 (step @p6190 :rule cong :premises (@p6189 @p6188) :args ((= (_ @t4243 @t1632) @t2243))) % 1.33/1.56 (step @p6191 :rule symm :premises (@p6190)) % 1.33/1.56 (step @p6192 :rule refl :args (@t641)) % 1.33/1.56 (step @p6193 :rule eq_resolve :premises (@p6192 @p6191)) % 1.33/1.56 (step @p6194 :rule ho_cong :premises (@p5463 @p798)) % 1.33/1.56 (step @p6195 :rule trans :premises (@p6194 @p6193)) % 1.33/1.56 (step @p6196 :rule nary_cong :premises (@p910 @p6195) :args (@t4411)) % 1.33/1.56 (step @p6197 :rule cong :premises (@p6196) :args ((forall @t46 @t4411))) % 1.33/1.56 (step @p6198 :rule bool-impl-elim :args (@t7 @t641)) % 1.33/1.56 (step @p6199 :rule cong :premises (@p6198) :args (@t642)) % 1.33/1.56 (step @p6200 :rule trans :premises (@p6199 @p6197)) % 1.33/1.56 (step @p6201 :rule refl :args (tptp.singletoninpowerset)) % 1.33/1.56 (step @p6202 :rule cong :premises (@p6201 @p6200) :args (@t643)) % 1.33/1.56 (step @p6203 :rule eq_resolve :premises (@p139 @p6202)) % 1.33/1.56 (step @p6204 :rule cong :premises (@p6203 @p6185) :args (@t4412)) % 1.33/1.56 (step @p6205 :rule refl :args ((tptp.subset @t279 @t2))) % 1.33/1.56 (step @p6206 :rule cong :premises (@p2898 @p1248) :args (@t2245)) % 1.33/1.56 (step @p6207 :rule trans :premises (@p6206 @p6205)) % 1.33/1.56 (step @p6208 :rule ho_cong :premises (@p1314 @p2898)) % 1.33/1.56 (step @p6209 :rule ho_cong :premises (@p6208 @p1248)) % 1.33/1.56 (step @p6210 :rule cong :premises (@p6209 @p6207) :args ((= (_ (_ tptp.subset @t1864) @t2) @t2245))) % 1.33/1.56 (step @p6211 :rule symm :premises (@p6210)) % 1.33/1.56 (step @p6212 :rule refl :args (@t637)) % 1.33/1.56 (step @p6213 :rule eq_resolve :premises (@p6212 @p6211)) % 1.33/1.56 (step @p6214 :rule ho_cong :premises (@p1314 @p2902)) % 1.33/1.56 (step @p6215 :rule ho_cong :premises (@p6214 @p1248)) % 1.33/1.56 (step @p6216 :rule trans :premises (@p6215 @p6213)) % 1.33/1.56 (step @p6217 :rule nary_cong :premises (@p910 @p6216) :args (@t4413)) % 1.33/1.56 (step @p6218 :rule cong :premises (@p6217) :args ((forall @t46 @t4413))) % 1.33/1.56 (step @p6219 :rule bool-impl-elim :args (@t7 @t637)) % 1.33/1.56 (step @p6220 :rule cong :premises (@p6219) :args (@t638)) % 1.33/1.56 (step @p6221 :rule trans :premises (@p6220 @p6218)) % 1.33/1.56 (step @p6222 :rule refl :args (tptp.singletonsubset)) % 1.33/1.56 (step @p6223 :rule cong :premises (@p6222 @p6221) :args (@t639)) % 1.33/1.56 (step @p6224 :rule eq_resolve :premises (@p138 @p6223)) % 1.33/1.56 (step @p6225 :rule cong :premises (@p6224 @p6204) :args (@t4414)) % 1.33/1.56 (step @p6226 :rule refl :args ((tptp.iskpair @t633))) % 1.33/1.56 (step @p6227 :rule cong :premises (@p3654) :args (@t2247)) % 1.33/1.56 (step @p6228 :rule trans :premises (@p6227 @p6226)) % 1.33/1.56 (step @p6229 :rule refl :args (tptp.iskpair)) % 1.33/1.56 (step @p6230 :rule ho_cong :premises (@p6229 @p3654)) % 1.33/1.56 (step @p6231 :rule cong :premises (@p6230 @p6228) :args ((= (_ tptp.iskpair @t2050) @t2247))) % 1.33/1.56 (step @p6232 :rule symm :premises (@p6231)) % 1.33/1.56 (step @p6233 :rule refl :args (@t634)) % 1.33/1.56 (step @p6234 :rule eq_resolve :premises (@p6233 @p6232)) % 1.33/1.56 (step @p6235 :rule ho_cong :premises (@p6229 @p3666)) % 1.33/1.56 (step @p6236 :rule trans :premises (@p6235 @p6234)) % 1.33/1.56 (step @p6237 :rule cong :premises (@p6236) :args (@t635)) % 1.33/1.56 (step @p6238 :rule refl :args (tptp.kpairp)) % 1.33/1.56 (step @p6239 :rule cong :premises (@p6238 @p6237) :args (@t636)) % 1.33/1.56 (step @p6240 :rule eq_resolve :premises (@p137 @p6239)) % 1.33/1.56 (step @p6241 :rule cong :premises (@p6240 @p6225) :args (@t4415)) % 1.33/1.56 (step @p6242 :rule refl :args ((tptp.iskpair @t621))) % 1.33/1.56 (step @p6243 :rule cong :premises (@p5221) :args (@t2249)) % 1.33/1.56 (step @p6244 :rule trans :premises (@p6243 @p6242)) % 1.33/1.56 (step @p6245 :rule ho_cong :premises (@p6229 @p5221)) % 1.33/1.56 (step @p6246 :rule cong :premises (@p6245 @p6244) :args ((= (_ tptp.iskpair @t2121) @t2249))) % 1.33/1.56 (step @p6247 :rule symm :premises (@p6246)) % 1.33/1.56 (step @p6248 :rule refl :args (@t629)) % 1.33/1.56 (step @p6249 :rule eq_resolve :premises (@p6248 @p6247)) % 1.33/1.56 (step @p6250 :rule ho_cong :premises (@p6229 @p5239)) % 1.33/1.56 (step @p6251 :rule trans :premises (@p6250 @p6249)) % 1.33/1.56 (step @p6252 :rule cong :premises (@p6251) :args (@t630)) % 1.33/1.56 (step @p6253 :rule refl :args (tptp.kpairiskpair)) % 1.33/1.56 (step @p6254 :rule cong :premises (@p6253 @p6252) :args (@t631)) % 1.33/1.56 (step @p6255 :rule eq_resolve :premises (@p136 @p6254)) % 1.33/1.56 (step @p6256 :rule cong :premises (@p6255 @p6241) :args (@t4416)) % 1.33/1.56 (step @p6257 :rule refl :args ((tptp.in @t19 @t622))) % 1.33/1.56 (step @p6258 :rule refl :args ((tptp.setunion @t621))) % 1.33/1.56 (step @p6259 :rule cong :premises (@p5221) :args (@t2251)) % 1.33/1.56 (step @p6260 :rule trans :premises (@p6259 @p6258)) % 1.33/1.56 (step @p6261 :rule cong :premises (@p2561 @p6260) :args (@t2252)) % 1.33/1.56 (step @p6262 :rule trans :premises (@p6261 @p6257)) % 1.33/1.56 (step @p6263 :rule ho_cong :premises (@p3190 @p6260)) % 1.33/1.56 (step @p6264 :rule cong :premises (@p6263 @p6262) :args ((= (_ @t20 @t2251) @t2252))) % 1.33/1.56 (step @p6265 :rule symm :premises (@p6264)) % 1.33/1.56 (step @p6266 :rule refl :args (@t626)) % 1.33/1.56 (step @p6267 :rule eq_resolve :premises (@p6266 @p6265)) % 1.33/1.56 (step @p6268 :rule ho_cong :premises (@p4586 @p5221)) % 1.33/1.56 (step @p6269 :rule cong :premises (@p6268 @p6260) :args ((= (_ tptp.setunion @t2121) @t2251))) % 1.33/1.56 (step @p6270 :rule symm :premises (@p6269)) % 1.33/1.56 (step @p6271 :rule refl :args (@t622)) % 1.33/1.56 (step @p6272 :rule eq_resolve :premises (@p6271 @p6270)) % 1.33/1.56 (step @p6273 :rule ho_cong :premises (@p4586 @p5239)) % 1.33/1.56 (step @p6274 :rule trans :premises (@p6273 @p6272)) % 1.33/1.56 (step @p6275 :rule ho_cong :premises (@p3190 @p6274)) % 1.33/1.56 (step @p6276 :rule trans :premises (@p6275 @p6267)) % 1.33/1.56 (step @p6277 :rule cong :premises (@p6276) :args (@t627)) % 1.33/1.56 (step @p6278 :rule refl :args (tptp.setukpairIR)) % 1.33/1.56 (step @p6279 :rule cong :premises (@p6278 @p6277) :args (@t628)) % 1.33/1.56 (step @p6280 :rule eq_resolve :premises (@p135 @p6279)) % 1.33/1.56 (step @p6281 :rule cong :premises (@p6280 @p6256) :args (@t4417)) % 1.33/1.56 (step @p6282 :rule refl :args ((tptp.in @t4 @t622))) % 1.33/1.56 (step @p6283 :rule cong :premises (@p874 @p6260) :args (@t2254)) % 1.33/1.56 (step @p6284 :rule trans :premises (@p6283 @p6282)) % 1.33/1.56 (step @p6285 :rule ho_cong :premises (@p877 @p6260)) % 1.33/1.56 (step @p6286 :rule cong :premises (@p6285 @p6284) :args ((= (_ @t5 @t2251) @t2254))) % 1.33/1.56 (step @p6287 :rule symm :premises (@p6286)) % 1.33/1.56 (step @p6288 :rule refl :args (@t623)) % 1.33/1.56 (step @p6289 :rule eq_resolve :premises (@p6288 @p6287)) % 1.33/1.56 (step @p6290 :rule ho_cong :premises (@p877 @p6274)) % 1.33/1.56 (step @p6291 :rule trans :premises (@p6290 @p6289)) % 1.33/1.56 (step @p6292 :rule cong :premises (@p6291) :args (@t624)) % 1.33/1.56 (step @p6293 :rule refl :args (tptp.setukpairIL)) % 1.33/1.56 (step @p6294 :rule cong :premises (@p6293 @p6292) :args (@t625)) % 1.33/1.56 (step @p6295 :rule eq_resolve :premises (@p134 @p6294)) % 1.33/1.56 (step @p6296 :rule cong :premises (@p6295 @p6281) :args (@t4418)) % 1.33/1.56 (step @p6297 :rule eq-symm :args (@t2257 tptp.secondinupair)) % 1.33/1.56 (step @p6298 :rule refl :args (tptp.secondinupair)) % 1.33/1.56 (step @p6299 :rule refl :args ((tptp.in @t19 @t293))) % 1.33/1.56 (step @p6300 :rule cong :premises (@p2561 @p2469) :args (@t2256)) % 1.33/1.56 (step @p6301 :rule trans :premises (@p6300 @p6299)) % 1.33/1.56 (step @p6302 :rule ho_cong :premises (@p3190 @p2469)) % 1.33/1.56 (step @p6303 :rule cong :premises (@p6302 @p6301) :args ((= (_ @t20 @t2119) @t2256))) % 1.33/1.56 (step @p6304 :rule symm :premises (@p6303)) % 1.33/1.56 (step @p6305 :rule refl :args (@t303)) % 1.33/1.56 (step @p6306 :rule eq_resolve :premises (@p6305 @p6304)) % 1.33/1.56 (step @p6307 :rule ho_cong :premises (@p3190 @p2490)) % 1.33/1.56 (step @p6308 :rule trans :premises (@p6307 @p6306)) % 1.33/1.56 (step @p6309 :rule cong :premises (@p6308) :args (@t304)) % 1.33/1.56 (step @p6310 :rule cong :premises (@p6309 @p6298) :args ((= @t304 tptp.secondinupair))) % 1.33/1.56 (step @p6311 :rule trans :premises (@p6310 @p6297)) % 1.33/1.56 (step @p6312 :rule eq-symm :args (tptp.secondinupair @t304)) % 1.33/1.56 (step @p6313 :rule trans :premises (@p6312 @p6311)) % 1.33/1.56 (step @p6314 :rule eq_resolve :premises (@p133 @p6313)) % 1.33/1.56 (step @p6315 :rule cong :premises (@p6314 @p6296) :args (@t4419)) % 1.33/1.56 (step @p6316 :rule refl :args ((tptp.in @t4 @t601))) % 1.33/1.56 (step @p6317 :rule refl :args (@t2258)) % 1.33/1.56 (step @p6318 :rule cong :premises (@p874 @p6317) :args (@t2259)) % 1.33/1.56 (step @p6319 :rule trans :premises (@p6318 @p6316)) % 1.33/1.56 (step @p6320 :rule ho_cong :premises (@p877 @p6317)) % 1.33/1.56 (step @p6321 :rule cong :premises (@p6320 @p6319) :args ((= (_ @t5 @t2258) @t2259))) % 1.33/1.56 (step @p6322 :rule symm :premises (@p6321)) % 1.33/1.56 (step @p6323 :rule refl :args (@t602)) % 1.33/1.56 (step @p6324 :rule eq_resolve :premises (@p6323 @p6322)) % 1.33/1.56 (step @p6325 :rule refl :args (@t601)) % 1.33/1.56 (step @p6326 :rule cong :premises (@p6325 @p6317) :args ((= @t601 @t2258))) % 1.33/1.56 (step @p6327 :rule symm :premises (@p6326)) % 1.33/1.56 (step @p6328 :rule eq_resolve :premises (@p6325 @p6327)) % 1.33/1.56 (step @p6329 :rule ho_cong :premises (@p877 @p6328)) % 1.33/1.56 (step @p6330 :rule trans :premises (@p6329 @p6324)) % 1.33/1.56 (step @p6331 :rule cong :premises (@p6330) :args (@t612)) % 1.33/1.56 (step @p6332 :rule refl :args (@t2261)) % 1.33/1.56 (step @p6333 :rule refl :args (@t6)) % 1.33/1.56 (step @p6334 :rule cong :premises (@p6333 @p6332) :args ((= @t6 @t2261))) % 1.33/1.56 (step @p6335 :rule symm :premises (@p6334)) % 1.33/1.56 (step @p6336 :rule eq_resolve :premises (@p6333 @p6335)) % 1.33/1.56 (step @p6337 :rule nary_cong :premises (@p909 @p6336 @p6331) :args (@t4420)) % 1.33/1.56 (step @p6338 :rule cong :premises (@p6337) :args ((forall @t245 @t4420))) % 1.33/1.56 (step @p6339 :rule aci_norm :args ((= (or @t7 (or @t6 @t612)) @t4420))) % 1.33/1.56 (step @p6340 :rule refl :args (@t612)) % 1.33/1.56 (step @p6341 :rule bool-double-not-elim :args (@t6)) % 1.33/1.56 (step @p6342 :rule nary_cong :premises (@p6341 @p6340) :args ((or @t4421 @t612))) % 1.33/1.56 (step @p6343 :rule bool-impl-elim :args (@t437 @t612)) % 1.33/1.56 (step @p6344 :rule trans :premises (@p6343 @p6342)) % 1.33/1.56 (step @p6345 :rule nary_cong :premises (@p906 @p6344) :args ((or @t7 @t616))) % 1.33/1.56 (step @p6346 :rule trans :premises (@p6345 @p6339)) % 1.33/1.56 (step @p6347 :rule refl :args (@t616)) % 1.33/1.56 (step @p6348 :rule bool-double-not-elim :args (@t7)) % 1.33/1.56 (step @p6349 :rule nary_cong :premises (@p6348 @p6347) :args ((or @t4422 @t616))) % 1.33/1.56 (step @p6350 :rule bool-impl-elim :args (@t197 @t616)) % 1.33/1.56 (step @p6351 :rule trans :premises (@p6350 @p6349)) % 1.33/1.56 (step @p6352 :rule trans :premises (@p6351 @p6346)) % 1.33/1.56 (step @p6353 :rule cong :premises (@p6352) :args (@t617)) % 1.33/1.56 (step @p6354 :rule trans :premises (@p6353 @p6338)) % 1.33/1.56 (step @p6355 :rule refl :args (tptp.symdiffIneg2)) % 1.33/1.56 (step @p6356 :rule cong :premises (@p6355 @p6354) :args (@t618)) % 1.33/1.56 (step @p6357 :rule eq_resolve :premises (@p132 @p6356)) % 1.33/1.56 (step @p6358 :rule cong :premises (@p6357 @p6315) :args (@t4423)) % 1.33/1.56 (step @p6359 :rule cong :premises (@p6336) :args (@t437)) % 1.33/1.56 (step @p6360 :rule nary_cong :premises (@p910 @p6359 @p6331) :args (@t4424)) % 1.33/1.56 (step @p6361 :rule cong :premises (@p6360) :args ((forall @t245 @t4424))) % 1.33/1.56 (step @p6362 :rule aci_norm :args ((= (or @t197 (or @t437 @t612)) @t4424))) % 1.33/1.56 (step @p6363 :rule bool-impl-elim :args (@t6 @t612)) % 1.33/1.56 (step @p6364 :rule nary_cong :premises (@p915 @p6363) :args ((or @t197 @t613))) % 1.33/1.56 (step @p6365 :rule trans :premises (@p6364 @p6362)) % 1.33/1.56 (step @p6366 :rule bool-impl-elim :args (@t7 @t613)) % 1.33/1.56 (step @p6367 :rule trans :premises (@p6366 @p6365)) % 1.33/1.56 (step @p6368 :rule cong :premises (@p6367) :args (@t614)) % 1.33/1.56 (step @p6369 :rule trans :premises (@p6368 @p6361)) % 1.33/1.56 (step @p6370 :rule refl :args (tptp.symdiffIneg1)) % 1.33/1.56 (step @p6371 :rule cong :premises (@p6370 @p6369) :args (@t615)) % 1.33/1.56 (step @p6372 :rule eq_resolve :premises (@p131 @p6371)) % 1.33/1.56 (step @p6373 :rule cong :premises (@p6372 @p6358) :args (@t4425)) % 1.33/1.56 (step @p6374 :rule nary_cong :premises (@p909 @p6359 @p6330) :args (@t4426)) % 1.33/1.56 (step @p6375 :rule cong :premises (@p6374) :args ((forall @t245 @t4426))) % 1.33/1.56 (step @p6376 :rule aci_norm :args ((= (or @t7 (or @t437 @t602)) @t4426))) % 1.33/1.56 (step @p6377 :rule bool-impl-elim :args (@t6 @t602)) % 1.33/1.56 (step @p6378 :rule nary_cong :premises (@p906 @p6377) :args ((or @t7 @t609))) % 1.33/1.56 (step @p6379 :rule trans :premises (@p6378 @p6376)) % 1.33/1.56 (step @p6380 :rule refl :args (@t609)) % 1.33/1.56 (step @p6381 :rule nary_cong :premises (@p6348 @p6380) :args ((or @t4422 @t609))) % 1.33/1.56 (step @p6382 :rule bool-impl-elim :args (@t197 @t609)) % 1.33/1.56 (step @p6383 :rule trans :premises (@p6382 @p6381)) % 1.33/1.56 (step @p6384 :rule trans :premises (@p6383 @p6379)) % 1.33/1.56 (step @p6385 :rule cong :premises (@p6384) :args (@t610)) % 1.33/1.56 (step @p6386 :rule trans :premises (@p6385 @p6375)) % 1.33/1.56 (step @p6387 :rule refl :args (tptp.symdiffI2)) % 1.33/1.56 (step @p6388 :rule cong :premises (@p6387 @p6386) :args (@t611)) % 1.33/1.56 (step @p6389 :rule eq_resolve :premises (@p130 @p6388)) % 1.33/1.56 (step @p6390 :rule cong :premises (@p6389 @p6373) :args (@t4427)) % 1.33/1.56 (step @p6391 :rule nary_cong :premises (@p910 @p6336 @p6330) :args (@t4428)) % 1.33/1.56 (step @p6392 :rule cong :premises (@p6391) :args ((forall @t245 @t4428))) % 1.33/1.56 (step @p6393 :rule aci_norm :args ((= (or @t197 (or @t6 @t602)) @t4428))) % 1.33/1.56 (step @p6394 :rule nary_cong :premises (@p6341 @p6323) :args ((or @t4421 @t602))) % 1.33/1.56 (step @p6395 :rule bool-impl-elim :args (@t437 @t602)) % 1.33/1.56 (step @p6396 :rule trans :premises (@p6395 @p6394)) % 1.33/1.56 (step @p6397 :rule nary_cong :premises (@p915 @p6396) :args ((or @t197 @t606))) % 1.33/1.56 (step @p6398 :rule trans :premises (@p6397 @p6393)) % 1.33/1.56 (step @p6399 :rule bool-impl-elim :args (@t7 @t606)) % 1.33/1.56 (step @p6400 :rule trans :premises (@p6399 @p6398)) % 1.33/1.56 (step @p6401 :rule cong :premises (@p6400) :args (@t607)) % 1.33/1.56 (step @p6402 :rule trans :premises (@p6401 @p6392)) % 1.33/1.56 (step @p6403 :rule refl :args (tptp.symdiffI1)) % 1.33/1.56 (step @p6404 :rule cong :premises (@p6403 @p6402) :args (@t608)) % 1.33/1.56 (step @p6405 :rule eq_resolve :premises (@p129 @p6404)) % 1.33/1.56 (step @p6406 :rule cong :premises (@p6405 @p6390) :args (@t4429)) % 1.33/1.56 (step @p6407 :rule refl :args (@t2267)) % 1.33/1.56 (step @p6408 :rule refl :args (@t2268)) % 1.33/1.56 (step @p6409 :rule nary_cong :premises (@p6331 @p6408 @p6407) :args (@t4430)) % 1.33/1.56 (step @p6410 :rule cong :premises (@p6409) :args ((forall @t245 @t4430))) % 1.33/1.56 (step @p6411 :rule aci_norm :args ((= (or @t612 @t4431) @t4430))) % 1.33/1.56 (step @p6412 :rule bool-impl-elim :args (@t602 @t4431)) % 1.33/1.56 (step @p6413 :rule trans :premises (@p6412 @p6411)) % 1.33/1.56 (step @p6414 :rule cong :premises (@p6413) :args ((forall @t245 (=> @t602 @t4431)))) % 1.33/1.56 (step @p6415 :rule trans :premises (@p6414 @p6410)) % 1.33/1.56 (step @p6416 :rule aci_norm :args ((= (and @t1795 @t2261 true) @t2267))) % 1.33/1.56 (step @p6417 :rule refl :args (@t2261)) % 1.33/1.56 (step @p6418 :rule nary_cong :premises (@p2602 @p6417 @p3035) :args (@t4432)) % 1.33/1.56 (step @p6419 :rule trans :premises (@p6418 @p6416)) % 1.33/1.56 (step @p6420 :rule aci_norm :args ((= (and @t1794 @t2263 true) @t2268))) % 1.33/1.56 (step @p6421 :rule refl :args (@t2263)) % 1.33/1.56 (step @p6422 :rule nary_cong :premises (@p4722 @p6421 @p3035) :args (@t4433)) % 1.33/1.56 (step @p6423 :rule trans :premises (@p6422 @p6420)) % 1.33/1.56 (step @p6424 :rule nary_cong :premises (@p6423 @p6419) :args (@t4434)) % 1.33/1.56 (step @p6425 :rule aci_norm :args ((= @t4435 @t4434))) % 1.33/1.56 (step @p6426 :rule trans :premises (@p6425 @p6424)) % 1.33/1.56 (step @p6427 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3429 @t4437 @t4436 @t173)) @t4435))) % 1.33/1.56 (step @p6428 :rule refl :args (@t4436)) % 1.33/1.56 (step @p6429 :rule refl :args (@t4437)) % 1.33/1.56 (step @p6430 :rule nary_cong :premises (@p2528 @p6429 @p6428 @p2522) :args (@t4438)) % 1.33/1.56 (step @p6431 :rule aci_norm :args ((= @t4439 @t4438))) % 1.33/1.56 (step @p6432 :rule trans :premises (@p6431 @p6430)) % 1.33/1.56 (step @p6433 :rule cong :premises (@p6432) :args ((forall @t179 @t4439))) % 1.33/1.56 (step @p6434 :rule trans :premises (@p6433 @p6427)) % 1.33/1.56 (step @p6435 :rule trans :premises (@p6434 @p6426)) % 1.33/1.56 (step @p6436 :rule nary_cong :premises (@p910 @p6336 @p2609) :args (@t4440)) % 1.33/1.56 (step @p6437 :rule nary_cong :premises (@p909 @p6359 @p2609) :args (@t4441)) % 1.33/1.56 (step @p6438 :rule nary_cong :premises (@p6437 @p6436 @p2522) :args (@t4442)) % 1.33/1.56 (step @p6439 :rule cong :premises (@p6438) :args ((forall @t179 @t4442))) % 1.33/1.56 (step @p6440 :rule trans :premises (@p6439 @p6435)) % 1.33/1.56 (step @p6441 :rule aci_norm :args ((= (or @t4441 (or @t4440 @t173)) @t4442))) % 1.33/1.56 (step @p6442 :rule aci_norm :args ((= (and @t197 @t4443) @t4440))) % 1.33/1.56 (step @p6443 :rule bool-implies-de-morgan :args (@t6 @t173)) % 1.33/1.56 (step @p6444 :rule nary_cong :premises (@p915 @p6443) :args ((and @t197 @t4444))) % 1.33/1.56 (step @p6445 :rule trans :premises (@p6444 @p6442)) % 1.33/1.56 (step @p6446 :rule bool-implies-de-morgan :args (@t197 @t500)) % 1.33/1.56 (step @p6447 :rule trans :premises (@p6446 @p6445)) % 1.33/1.56 (step @p6448 :rule nary_cong :premises (@p6447 @p2522) :args ((or (not @t596) @t173))) % 1.33/1.56 (step @p6449 :rule bool-impl-elim :args (@t596 @t173)) % 1.33/1.56 (step @p6450 :rule trans :premises (@p6449 @p6448)) % 1.33/1.56 (step @p6451 :rule aci_norm :args ((= (and @t7 (and @t437 @t1061)) @t4441))) % 1.33/1.56 (step @p6452 :rule bool-implies-de-morgan :args (@t437 @t173)) % 1.33/1.56 (step @p6453 :rule nary_cong :premises (@p906 @p6452) :args ((and @t7 (not @t598)))) % 1.33/1.56 (step @p6454 :rule trans :premises (@p6453 @p6451)) % 1.33/1.56 (step @p6455 :rule bool-implies-de-morgan :args (@t7 @t598)) % 1.33/1.56 (step @p6456 :rule trans :premises (@p6455 @p6454)) % 1.33/1.56 (step @p6457 :rule nary_cong :premises (@p6456 @p6450) :args ((or (not @t599) @t597))) % 1.33/1.56 (step @p6458 :rule trans :premises (@p6457 @p6441)) % 1.33/1.56 (step @p6459 :rule bool-impl-elim :args (@t599 @t597)) % 1.33/1.56 (step @p6460 :rule trans :premises (@p6459 @p6458)) % 1.33/1.56 (step @p6461 :rule cong :premises (@p6460) :args (@t600)) % 1.33/1.56 (step @p6462 :rule trans :premises (@p6461 @p6440)) % 1.33/1.56 (step @p6463 :rule refl :args (@t602)) % 1.33/1.56 (step @p6464 :rule cong :premises (@p6463 @p6462) :args (@t603)) % 1.33/1.56 (step @p6465 :rule cong :premises (@p6464) :args (@t604)) % 1.33/1.56 (step @p6466 :rule trans :premises (@p6465 @p6415)) % 1.33/1.56 (step @p6467 :rule refl :args (tptp.symdiffE)) % 1.33/1.56 (step @p6468 :rule cong :premises (@p6467 @p6466) :args (@t605)) % 1.33/1.56 (step @p6469 :rule eq_resolve :premises (@p128 @p6468)) % 1.33/1.56 (step @p6470 :rule cong :premises (@p6469 @p6406) :args (@t4445)) % 1.33/1.56 (step @p6471 :rule refl :args (@t2270)) % 1.33/1.56 (step @p6472 :rule refl :args (@t422)) % 1.33/1.56 (step @p6473 :rule cong :premises (@p6472 @p6471) :args ((= @t422 @t2270))) % 1.33/1.56 (step @p6474 :rule symm :premises (@p6473)) % 1.33/1.56 (step @p6475 :rule eq_resolve :premises (@p6472 @p6474)) % 1.33/1.56 (step @p6476 :rule refl :args (@t2271)) % 1.33/1.56 (step @p6477 :rule refl :args (@t568)) % 1.33/1.56 (step @p6478 :rule cong :premises (@p6477 @p6476) :args ((= @t568 @t2271))) % 1.33/1.56 (step @p6479 :rule symm :premises (@p6478)) % 1.33/1.56 (step @p6480 :rule eq_resolve :premises (@p6477 @p6479)) % 1.33/1.56 (step @p6481 :rule cong :premises (@p317 @p6480) :args (@t4446)) % 1.33/1.56 (step @p6482 :rule cong :premises (@p6481) :args (@t4447)) % 1.33/1.56 (step @p6483 :rule nary_cong :premises (@p6482 @p6475) :args (@t4448)) % 1.33/1.56 (step @p6484 :rule cong :premises (@p6483) :args ((forall @t12 @t4448))) % 1.33/1.56 (step @p6485 :rule bool-impl-elim :args (@t4446 @t422)) % 1.33/1.56 (step @p6486 :rule cong :premises (@p6485) :args ((forall @t12 (=> @t4446 @t422)))) % 1.33/1.56 (step @p6487 :rule trans :premises (@p6486 @p6484)) % 1.33/1.56 (step @p6488 :rule refl :args (@t422)) % 1.33/1.56 (step @p6489 :rule eq-symm :args (@t568 tptp.emptyset)) % 1.33/1.56 (step @p6490 :rule cong :premises (@p6489 @p6488) :args (@t593)) % 1.33/1.56 (step @p6491 :rule cong :premises (@p6490) :args (@t594)) % 1.33/1.56 (step @p6492 :rule trans :premises (@p6491 @p6487)) % 1.33/1.56 (step @p6493 :rule refl :args (tptp.setminusSubset1)) % 1.33/1.56 (step @p6494 :rule cong :premises (@p6493 @p6492) :args (@t595)) % 1.33/1.56 (step @p6495 :rule eq_resolve :premises (@p127 @p6494)) % 1.33/1.56 (step @p6496 :rule cong :premises (@p6495 @p6470) :args (@t4449)) % 1.33/1.56 (step @p6497 :rule refl :args ((tptp.subset @t568 @t2))) % 1.33/1.56 (step @p6498 :rule cong :premises (@p6476 @p1248) :args (@t2274)) % 1.33/1.56 (step @p6499 :rule trans :premises (@p6498 @p6497)) % 1.33/1.56 (step @p6500 :rule ho_cong :premises (@p1314 @p6476)) % 1.33/1.56 (step @p6501 :rule ho_cong :premises (@p6500 @p1248)) % 1.33/1.56 (step @p6502 :rule cong :premises (@p6501 @p6499) :args ((= (_ (_ tptp.subset @t2271) @t2) @t2274))) % 1.33/1.56 (step @p6503 :rule symm :premises (@p6502)) % 1.33/1.56 (step @p6504 :rule refl :args (@t590)) % 1.33/1.56 (step @p6505 :rule eq_resolve :premises (@p6504 @p6503)) % 1.33/1.56 (step @p6506 :rule ho_cong :premises (@p1314 @p6480)) % 1.33/1.56 (step @p6507 :rule ho_cong :premises (@p6506 @p1248)) % 1.33/1.56 (step @p6508 :rule trans :premises (@p6507 @p6505)) % 1.33/1.56 (step @p6509 :rule cong :premises (@p6508) :args (@t591)) % 1.33/1.56 (step @p6510 :rule refl :args (tptp.setminusLsub)) % 1.33/1.56 (step @p6511 :rule cong :premises (@p6510 @p6509) :args (@t592)) % 1.33/1.56 (step @p6512 :rule eq_resolve :premises (@p126 @p6511)) % 1.33/1.56 (step @p6513 :rule cong :premises (@p6512 @p6496) :args (@t4450)) % 1.33/1.56 (step @p6514 :rule refl :args ((tptp.in @t4 @t568))) % 1.33/1.56 (step @p6515 :rule cong :premises (@p874 @p6476) :args (@t2276)) % 1.33/1.56 (step @p6516 :rule trans :premises (@p6515 @p6514)) % 1.33/1.56 (step @p6517 :rule ho_cong :premises (@p877 @p6476)) % 1.33/1.56 (step @p6518 :rule cong :premises (@p6517 @p6516) :args ((= (_ @t5 @t2271) @t2276))) % 1.33/1.56 (step @p6519 :rule symm :premises (@p6518)) % 1.33/1.56 (step @p6520 :rule refl :args (@t569)) % 1.33/1.56 (step @p6521 :rule eq_resolve :premises (@p6520 @p6519)) % 1.33/1.56 (step @p6522 :rule ho_cong :premises (@p877 @p6480)) % 1.33/1.56 (step @p6523 :rule trans :premises (@p6522 @p6521)) % 1.33/1.56 (step @p6524 :rule cong :premises (@p6523) :args (@t581)) % 1.33/1.56 (step @p6525 :rule nary_cong :premises (@p6359 @p6524) :args (@t4451)) % 1.33/1.56 (step @p6526 :rule cong :premises (@p6525) :args ((forall @t245 @t4451))) % 1.33/1.56 (step @p6527 :rule bool-impl-elim :args (@t6 @t581)) % 1.33/1.56 (step @p6528 :rule cong :premises (@p6527) :args (@t588)) % 1.33/1.56 (step @p6529 :rule trans :premises (@p6528 @p6526)) % 1.33/1.56 (step @p6530 :rule refl :args (tptp.setminusIRneg)) % 1.33/1.56 (step @p6531 :rule cong :premises (@p6530 @p6529) :args (@t589)) % 1.33/1.56 (step @p6532 :rule eq_resolve :premises (@p125 @p6531)) % 1.33/1.56 (step @p6533 :rule cong :premises (@p6532 @p6513) :args (@t4452)) % 1.33/1.56 (step @p6534 :rule nary_cong :premises (@p909 @p6524) :args (@t4453)) % 1.33/1.56 (step @p6535 :rule cong :premises (@p6534) :args ((forall @t245 @t4453))) % 1.33/1.56 (step @p6536 :rule refl :args (@t581)) % 1.33/1.56 (step @p6537 :rule nary_cong :premises (@p6348 @p6536) :args ((or @t4422 @t581))) % 1.33/1.56 (step @p6538 :rule bool-impl-elim :args (@t197 @t581)) % 1.33/1.56 (step @p6539 :rule trans :premises (@p6538 @p6537)) % 1.33/1.56 (step @p6540 :rule cong :premises (@p6539) :args (@t586)) % 1.33/1.56 (step @p6541 :rule trans :premises (@p6540 @p6535)) % 1.33/1.56 (step @p6542 :rule refl :args (tptp.setminusILneg)) % 1.33/1.56 (step @p6543 :rule cong :premises (@p6542 @p6541) :args (@t587)) % 1.33/1.56 (step @p6544 :rule eq_resolve :premises (@p124 @p6543)) % 1.33/1.56 (step @p6545 :rule cong :premises (@p6544 @p6533) :args (@t4454)) % 1.33/1.56 (step @p6546 :rule nary_cong :premises (@p6523 @p6336 @p910) :args (@t4455)) % 1.33/1.56 (step @p6547 :rule cong :premises (@p6546) :args ((forall @t245 @t4455))) % 1.33/1.56 (step @p6548 :rule aci_norm :args ((= (or @t569 @t4456) @t4455))) % 1.33/1.56 (step @p6549 :rule nary_cong :premises (@p6341 @p915) :args ((or @t4421 @t197))) % 1.33/1.56 (step @p6550 :rule bool-impl-elim :args (@t437 @t197)) % 1.33/1.56 (step @p6551 :rule trans :premises (@p6550 @p6549)) % 1.33/1.56 (step @p6552 :rule nary_cong :premises (@p6520 @p6551) :args ((or @t569 @t438))) % 1.33/1.56 (step @p6553 :rule trans :premises (@p6552 @p6548)) % 1.33/1.56 (step @p6554 :rule refl :args (@t438)) % 1.33/1.56 (step @p6555 :rule bool-double-not-elim :args (@t569)) % 1.33/1.56 (step @p6556 :rule nary_cong :premises (@p6555 @p6554) :args ((or @t4457 @t438))) % 1.33/1.56 (step @p6557 :rule bool-impl-elim :args (@t581 @t438)) % 1.33/1.56 (step @p6558 :rule trans :premises (@p6557 @p6556)) % 1.33/1.56 (step @p6559 :rule trans :premises (@p6558 @p6553)) % 1.33/1.56 (step @p6560 :rule cong :premises (@p6559) :args (@t584)) % 1.33/1.56 (step @p6561 :rule trans :premises (@p6560 @p6547)) % 1.33/1.56 (step @p6562 :rule refl :args (tptp.setminusELneg)) % 1.33/1.56 (step @p6563 :rule cong :premises (@p6562 @p6561) :args (@t585)) % 1.33/1.56 (step @p6564 :rule eq_resolve :premises (@p123 @p6563)) % 1.33/1.56 (step @p6565 :rule cong :premises (@p6564 @p6545) :args (@t4458)) % 1.33/1.56 (step @p6566 :rule nary_cong :premises (@p6523 @p910 @p6336) :args (@t4459)) % 1.33/1.56 (step @p6567 :rule cong :premises (@p6566) :args ((forall @t245 @t4459))) % 1.33/1.56 (step @p6568 :rule aci_norm :args ((= (or @t569 @t4460) @t4459))) % 1.33/1.56 (step @p6569 :rule bool-impl-elim :args (@t7 @t6)) % 1.33/1.56 (step @p6570 :rule nary_cong :premises (@p6520 @p6569) :args ((or @t569 @t191))) % 1.33/1.56 (step @p6571 :rule trans :premises (@p6570 @p6568)) % 1.33/1.56 (step @p6572 :rule refl :args (@t191)) % 1.33/1.56 (step @p6573 :rule nary_cong :premises (@p6555 @p6572) :args ((or @t4457 @t191))) % 1.33/1.56 (step @p6574 :rule bool-impl-elim :args (@t581 @t191)) % 1.33/1.56 (step @p6575 :rule trans :premises (@p6574 @p6573)) % 1.33/1.56 (step @p6576 :rule trans :premises (@p6575 @p6571)) % 1.33/1.56 (step @p6577 :rule cong :premises (@p6576) :args (@t582)) % 1.33/1.56 (step @p6578 :rule trans :premises (@p6577 @p6567)) % 1.33/1.56 (step @p6579 :rule refl :args (tptp.setminusERneg)) % 1.33/1.56 (step @p6580 :rule cong :premises (@p6579 @p6578) :args (@t583)) % 1.33/1.56 (step @p6581 :rule eq_resolve :premises (@p122 @p6580)) % 1.33/1.56 (step @p6582 :rule cong :premises (@p6581 @p6565) :args (@t4461)) % 1.33/1.56 (step @p6583 :rule cong :premises (@p6475) :args (@t441)) % 1.33/1.56 (step @p6584 :rule nary_cong :premises (@p6583 @p6481) :args (@t4462)) % 1.33/1.56 (step @p6585 :rule cong :premises (@p6584) :args ((forall @t12 @t4462))) % 1.33/1.56 (step @p6586 :rule bool-impl-elim :args (@t422 @t4446)) % 1.33/1.56 (step @p6587 :rule cong :premises (@p6586) :args ((forall @t12 (=> @t422 @t4446)))) % 1.33/1.57 (step @p6588 :rule trans :premises (@p6587 @p6585)) % 1.33/1.57 (step @p6589 :rule cong :premises (@p6488 @p6489) :args (@t578)) % 1.33/1.57 (step @p6590 :rule cong :premises (@p6589) :args (@t579)) % 1.33/1.57 (step @p6591 :rule trans :premises (@p6590 @p6588)) % 1.33/1.57 (step @p6592 :rule refl :args (tptp.setminusSubset2)) % 1.33/1.57 (step @p6593 :rule cong :premises (@p6592 @p6591) :args (@t580)) % 1.33/1.57 (step @p6594 :rule eq_resolve :premises (@p121 @p6593)) % 1.33/1.57 (step @p6595 :rule cong :premises (@p6594 @p6582) :args (@t4463)) % 1.33/1.57 (step @p6596 :rule nary_cong :premises (@p6524 @p6359) :args (@t4464)) % 1.33/1.57 (step @p6597 :rule cong :premises (@p6596) :args ((forall @t245 @t4464))) % 1.33/1.57 (step @p6598 :rule bool-impl-elim :args (@t569 @t437)) % 1.33/1.57 (step @p6599 :rule cong :premises (@p6598) :args (@t575)) % 1.33/1.57 (step @p6600 :rule trans :premises (@p6599 @p6597)) % 1.33/1.57 (step @p6601 :rule refl :args (tptp.setminusER)) % 1.33/1.57 (step @p6602 :rule cong :premises (@p6601 @p6600) :args (@t576)) % 1.33/1.57 (step @p6603 :rule eq_resolve :premises (@p120 @p6602)) % 1.33/1.57 (step @p6604 :rule cong :premises (@p6603 @p6595) :args (@t4465)) % 1.33/1.57 (step @p6605 :rule nary_cong :premises (@p6524 @p909) :args (@t4466)) % 1.33/1.57 (step @p6606 :rule cong :premises (@p6605) :args ((forall @t245 @t4466))) % 1.33/1.57 (step @p6607 :rule bool-impl-elim :args (@t569 @t7)) % 1.33/1.57 (step @p6608 :rule cong :premises (@p6607) :args (@t573)) % 1.33/1.57 (step @p6609 :rule trans :premises (@p6608 @p6606)) % 1.33/1.57 (step @p6610 :rule refl :args (tptp.setminusEL)) % 1.33/1.57 (step @p6611 :rule cong :premises (@p6610 @p6609) :args (@t574)) % 1.33/1.57 (step @p6612 :rule eq_resolve :premises (@p119 @p6611)) % 1.33/1.57 (step @p6613 :rule cong :premises (@p6612 @p6604) :args (@t4467)) % 1.33/1.57 (step @p6614 :rule nary_cong :premises (@p910 @p6336 @p6523) :args (@t4468)) % 1.33/1.57 (step @p6615 :rule cong :premises (@p6614) :args ((forall @t245 @t4468))) % 1.33/1.57 (step @p6616 :rule aci_norm :args ((= (or @t197 (or @t6 @t569)) @t4468))) % 1.33/1.57 (step @p6617 :rule nary_cong :premises (@p6341 @p6520) :args ((or @t4421 @t569))) % 1.33/1.57 (step @p6618 :rule bool-impl-elim :args (@t437 @t569)) % 1.33/1.57 (step @p6619 :rule trans :premises (@p6618 @p6617)) % 1.33/1.57 (step @p6620 :rule nary_cong :premises (@p915 @p6619) :args ((or @t197 @t570))) % 1.33/1.57 (step @p6621 :rule trans :premises (@p6620 @p6616)) % 1.33/1.57 (step @p6622 :rule bool-impl-elim :args (@t7 @t570)) % 1.33/1.57 (step @p6623 :rule trans :premises (@p6622 @p6621)) % 1.33/1.57 (step @p6624 :rule cong :premises (@p6623) :args (@t571)) % 1.33/1.57 (step @p6625 :rule trans :premises (@p6624 @p6615)) % 1.33/1.57 (step @p6626 :rule refl :args (tptp.setminusI)) % 1.33/1.57 (step @p6627 :rule cong :premises (@p6626 @p6625) :args (@t572)) % 1.33/1.57 (step @p6628 :rule eq_resolve :premises (@p118 @p6627)) % 1.33/1.57 (step @p6629 :rule cong :premises (@p6628 @p6613) :args (@t4469)) % 1.33/1.57 (step @p6630 :rule refl :args ((tptp.binunion @t517 @t560))) % 1.33/1.57 (step @p6631 :rule refl :args (@t2287)) % 1.33/1.57 (step @p6632 :rule refl :args (@t2288)) % 1.33/1.57 (step @p6633 :rule cong :premises (@p6632 @p6631) :args (@t2289)) % 1.33/1.57 (step @p6634 :rule trans :premises (@p6633 @p6630)) % 1.33/1.57 (step @p6635 :rule refl :args (tptp.binunion)) % 1.33/1.57 (step @p6636 :rule ho_cong :premises (@p6635 @p6632)) % 1.33/1.57 (step @p6637 :rule ho_cong :premises (@p6636 @p6631)) % 1.33/1.57 (step @p6638 :rule cong :premises (@p6637 @p6634) :args ((= (_ (_ tptp.binunion @t2288) @t2287) @t2289))) % 1.33/1.57 (step @p6639 :rule symm :premises (@p6638)) % 1.33/1.57 (step @p6640 :rule refl :args (@t561)) % 1.33/1.57 (step @p6641 :rule eq_resolve :premises (@p6640 @p6639)) % 1.33/1.57 (step @p6642 :rule refl :args (@t560)) % 1.33/1.57 (step @p6643 :rule cong :premises (@p6642 @p6631) :args ((= @t560 @t2287))) % 1.33/1.57 (step @p6644 :rule symm :premises (@p6643)) % 1.33/1.57 (step @p6645 :rule eq_resolve :premises (@p6642 @p6644)) % 1.33/1.57 (step @p6646 :rule refl :args (@t517)) % 1.33/1.57 (step @p6647 :rule cong :premises (@p6646 @p6632) :args ((= @t517 @t2288))) % 1.33/1.57 (step @p6648 :rule symm :premises (@p6647)) % 1.33/1.57 (step @p6649 :rule eq_resolve :premises (@p6646 @p6648)) % 1.33/1.57 (step @p6650 :rule ho_cong :premises (@p6635 @p6649)) % 1.33/1.57 (step @p6651 :rule ho_cong :premises (@p6650 @p6645)) % 1.33/1.57 (step @p6652 :rule trans :premises (@p6651 @p6641)) % 1.33/1.57 (step @p6653 :rule refl :args ((tptp.binintersect @t2 @t562))) % 1.33/1.57 (step @p6654 :rule refl :args (@t2290)) % 1.33/1.57 (step @p6655 :rule cong :premises (@p1248 @p6654) :args (@t2291)) % 1.33/1.57 (step @p6656 :rule trans :premises (@p6655 @p6653)) % 1.33/1.57 (step @p6657 :rule refl :args (@t516)) % 1.33/1.57 (step @p6658 :rule ho_cong :premises (@p6657 @p6654)) % 1.33/1.57 (step @p6659 :rule cong :premises (@p6658 @p6656) :args ((= (_ @t516 @t2290) @t2291))) % 1.33/1.57 (step @p6660 :rule symm :premises (@p6659)) % 1.33/1.57 (step @p6661 :rule refl :args (@t563)) % 1.33/1.57 (step @p6662 :rule eq_resolve :premises (@p6661 @p6660)) % 1.33/1.57 (step @p6663 :rule refl :args (@t562)) % 1.33/1.57 (step @p6664 :rule cong :premises (@p6663 @p6654) :args ((= @t562 @t2290))) % 1.33/1.57 (step @p6665 :rule symm :premises (@p6664)) % 1.33/1.57 (step @p6666 :rule eq_resolve :premises (@p6663 @p6665)) % 1.33/1.57 (step @p6667 :rule ho_cong :premises (@p6657 @p6666)) % 1.33/1.57 (step @p6668 :rule trans :premises (@p6667 @p6662)) % 1.33/1.57 (step @p6669 :rule cong :premises (@p6668 @p6652) :args (@t564)) % 1.33/1.57 (step @p6670 :rule cong :premises (@p6669) :args (@t565)) % 1.33/1.57 (step @p6671 :rule refl :args (tptp.bs114d)) % 1.33/1.57 (step @p6672 :rule cong :premises (@p6671 @p6670) :args (@t566)) % 1.33/1.57 (step @p6673 :rule eq_resolve :premises (@p117 @p6672)) % 1.33/1.57 (step @p6674 :rule cong :premises (@p6673 @p6629) :args (@t4470)) % 1.33/1.57 (step @p6675 :rule cong :premises (@p1248 @p6649) :args (@t4471)) % 1.33/1.57 (step @p6676 :rule cong :premises (@p6675) :args (@t4472)) % 1.33/1.57 (step @p6677 :rule nary_cong :premises (@p6676 @p6475) :args (@t4473)) % 1.33/1.57 (step @p6678 :rule cong :premises (@p6677) :args ((forall @t12 @t4473))) % 1.33/1.57 (step @p6679 :rule bool-impl-elim :args (@t4471 @t422)) % 1.33/1.57 (step @p6680 :rule cong :premises (@p6679) :args ((forall @t12 (=> @t4471 @t422)))) % 1.33/1.57 (step @p6681 :rule trans :premises (@p6680 @p6678)) % 1.33/1.57 (step @p6682 :rule eq-symm :args (@t517 @t2)) % 1.33/1.57 (step @p6683 :rule cong :premises (@p6682 @p6488) :args (@t557)) % 1.33/1.57 (step @p6684 :rule cong :premises (@p6683) :args (@t558)) % 1.33/1.57 (step @p6685 :rule trans :premises (@p6684 @p6681)) % 1.33/1.57 (step @p6686 :rule refl :args (tptp.binintersectSubset1)) % 1.33/1.57 (step @p6687 :rule cong :premises (@p6686 @p6685) :args (@t559)) % 1.33/1.57 (step @p6688 :rule eq_resolve :premises (@p116 @p6687)) % 1.33/1.57 (step @p6689 :rule cong :premises (@p6688 @p6674) :args (@t4474)) % 1.33/1.57 (step @p6690 :rule cong :premises (@p3232 @p6649) :args (@t4475)) % 1.33/1.57 (step @p6691 :rule refl :args (@t2296)) % 1.33/1.57 (step @p6692 :rule refl :args (@t427)) % 1.33/1.57 (step @p6693 :rule cong :premises (@p6692 @p6691) :args ((= @t427 @t2296))) % 1.33/1.57 (step @p6694 :rule symm :premises (@p6693)) % 1.33/1.57 (step @p6695 :rule eq_resolve :premises (@p6692 @p6694)) % 1.33/1.57 (step @p6696 :rule cong :premises (@p6695) :args (@t4476)) % 1.33/1.57 (step @p6697 :rule nary_cong :premises (@p6696 @p6690) :args (@t4477)) % 1.33/1.57 (step @p6698 :rule cong :premises (@p6697) :args ((forall @t12 @t4477))) % 1.33/1.57 (step @p6699 :rule bool-impl-elim :args (@t427 @t4475)) % 1.33/1.57 (step @p6700 :rule cong :premises (@p6699) :args ((forall @t12 (=> @t427 @t4475)))) % 1.33/1.57 (step @p6701 :rule trans :premises (@p6700 @p6698)) % 1.33/1.57 (step @p6702 :rule eq-symm :args (@t517 @t1)) % 1.33/1.57 (step @p6703 :rule refl :args (@t427)) % 1.33/1.57 (step @p6704 :rule cong :premises (@p6703 @p6702) :args (@t554)) % 1.33/1.57 (step @p6705 :rule cong :premises (@p6704) :args (@t555)) % 1.33/1.57 (step @p6706 :rule trans :premises (@p6705 @p6701)) % 1.33/1.57 (step @p6707 :rule refl :args (tptp.binintersectSubset4)) % 1.33/1.57 (step @p6708 :rule cong :premises (@p6707 @p6706) :args (@t556)) % 1.33/1.57 (step @p6709 :rule eq_resolve :premises (@p115 @p6708)) % 1.33/1.57 (step @p6710 :rule cong :premises (@p6709 @p6689) :args (@t4478)) % 1.33/1.57 (step @p6711 :rule refl :args ((tptp.subset @t517 @t1))) % 1.33/1.57 (step @p6712 :rule cong :premises (@p6632 @p3232) :args (@t2299)) % 1.33/1.57 (step @p6713 :rule trans :premises (@p6712 @p6711)) % 1.33/1.57 (step @p6714 :rule ho_cong :premises (@p1314 @p6632)) % 1.33/1.57 (step @p6715 :rule ho_cong :premises (@p6714 @p3232)) % 1.33/1.57 (step @p6716 :rule cong :premises (@p6715 @p6713) :args ((= (_ @t4479 @t1) @t2299))) % 1.33/1.57 (step @p6717 :rule symm :premises (@p6716)) % 1.33/1.57 (step @p6718 :rule refl :args (@t551)) % 1.33/1.57 (step @p6719 :rule eq_resolve :premises (@p6718 @p6717)) % 1.33/1.57 (step @p6720 :rule ho_cong :premises (@p1314 @p6649)) % 1.33/1.57 (step @p6721 :rule ho_cong :premises (@p6720 @p3232)) % 1.33/1.57 (step @p6722 :rule trans :premises (@p6721 @p6719)) % 1.33/1.57 (step @p6723 :rule cong :premises (@p6722) :args (@t552)) % 1.33/1.57 (step @p6724 :rule refl :args (tptp.binintersectRsub)) % 1.33/1.57 (step @p6725 :rule cong :premises (@p6724 @p6723) :args (@t553)) % 1.33/1.57 (step @p6726 :rule eq_resolve :premises (@p114 @p6725)) % 1.33/1.57 (step @p6727 :rule cong :premises (@p6726 @p6710) :args (@t4480)) % 1.33/1.57 (step @p6728 :rule cong :premises (@p317 @p6649) :args (@t4481)) % 1.33/1.57 (step @p6729 :rule refl :args (@t2302)) % 1.33/1.57 (step @p6730 :rule nary_cong :premises (@p6729 @p6728) :args (@t4482)) % 1.33/1.57 (step @p6731 :rule cong :premises (@p6730) :args ((forall @t12 @t4482))) % 1.33/1.57 (step @p6732 :rule bool-impl-elim :args (@t2301 @t4481)) % 1.33/1.57 (step @p6733 :rule cong :premises (@p6732) :args ((forall @t12 (=> @t2301 @t4481)))) % 1.33/1.57 (step @p6734 :rule trans :premises (@p6733 @p6731)) % 1.33/1.57 (step @p6735 :rule eq-symm :args (@t517 tptp.emptyset)) % 1.33/1.57 (step @p6736 :rule bool-double-not-elim :args (@t2301)) % 1.33/1.57 (step @p6737 :rule nary_cong :premises (@p910 @p6359) :args (@t4483)) % 1.33/1.57 (step @p6738 :rule cong :premises (@p6737) :args ((forall @t9 @t4483))) % 1.33/1.57 (step @p6739 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 1.33/1.57 (step @p6740 :rule cong :premises (@p6739) :args (@t4484)) % 1.33/1.57 (step @p6741 :rule trans :premises (@p6740 @p6738)) % 1.33/1.57 (step @p6742 :rule cong :premises (@p6741) :args (@t4485)) % 1.33/1.57 (step @p6743 :rule exists-elim :args ((= @t546 @t4485))) % 1.33/1.57 (step @p6744 :rule trans :premises (@p6743 @p6742)) % 1.33/1.57 (step @p6745 :rule cong :premises (@p6744) :args (@t547)) % 1.33/1.57 (step @p6746 :rule trans :premises (@p6745 @p6736)) % 1.33/1.57 (step @p6747 :rule cong :premises (@p6746 @p6735) :args (@t548)) % 1.33/1.57 (step @p6748 :rule cong :premises (@p6747) :args (@t549)) % 1.33/1.57 (step @p6749 :rule trans :premises (@p6748 @p6734)) % 1.33/1.57 (step @p6750 :rule refl :args (tptp.disjointsetsI1)) % 1.33/1.57 (step @p6751 :rule cong :premises (@p6750 @p6749) :args (@t550)) % 1.33/1.57 (step @p6752 :rule eq_resolve :premises (@p113 @p6751)) % 1.33/1.57 (step @p6753 :rule cong :premises (@p6752 @p6727) :args (@t4486)) % 1.33/1.57 (step @p6754 :rule refl :args ((tptp.in @t4 @t517))) % 1.33/1.57 (step @p6755 :rule cong :premises (@p874 @p6632) :args (@t2304)) % 1.33/1.57 (step @p6756 :rule trans :premises (@p6755 @p6754)) % 1.33/1.57 (step @p6757 :rule ho_cong :premises (@p877 @p6632)) % 1.33/1.57 (step @p6758 :rule cong :premises (@p6757 @p6756) :args ((= (_ @t5 @t2288) @t2304))) % 1.33/1.57 (step @p6759 :rule symm :premises (@p6758)) % 1.33/1.57 (step @p6760 :rule refl :args (@t518)) % 1.33/1.57 (step @p6761 :rule eq_resolve :premises (@p6760 @p6759)) % 1.33/1.57 (step @p6762 :rule ho_cong :premises (@p877 @p6649)) % 1.33/1.57 (step @p6763 :rule trans :premises (@p6762 @p6761)) % 1.33/1.57 (step @p6764 :rule cong :premises (@p6763) :args (@t4487)) % 1.33/1.57 (step @p6765 :rule nary_cong :premises (@p6764 @p6336) :args (@t4488)) % 1.33/1.57 (step @p6766 :rule cong :premises (@p6765) :args ((forall @t245 @t4488))) % 1.33/1.57 (step @p6767 :rule bool-impl-elim :args (@t518 @t6)) % 1.33/1.57 (step @p6768 :rule cong :premises (@p6767) :args (@t543)) % 1.33/1.57 (step @p6769 :rule trans :premises (@p6768 @p6766)) % 1.33/1.57 (step @p6770 :rule refl :args (tptp.binintersectER)) % 1.33/1.57 (step @p6771 :rule cong :premises (@p6770 @p6769) :args (@t544)) % 1.33/1.57 (step @p6772 :rule eq_resolve :premises (@p112 @p6771)) % 1.33/1.57 (step @p6773 :rule cong :premises (@p6772 @p6753) :args (@t4489)) % 1.33/1.57 (step @p6774 :rule cong :premises (@p6690) :args (@t4490)) % 1.33/1.57 (step @p6775 :rule nary_cong :premises (@p6774 @p6695) :args (@t4491)) % 1.33/1.57 (step @p6776 :rule cong :premises (@p6775) :args ((forall @t12 @t4491))) % 1.33/1.57 (step @p6777 :rule bool-impl-elim :args (@t4475 @t427)) % 1.33/1.57 (step @p6778 :rule cong :premises (@p6777) :args ((forall @t12 (=> @t4475 @t427)))) % 1.33/1.57 (step @p6779 :rule trans :premises (@p6778 @p6776)) % 1.33/1.57 (step @p6780 :rule cong :premises (@p6702 @p6703) :args (@t540)) % 1.33/1.57 (step @p6781 :rule cong :premises (@p6780) :args (@t541)) % 1.33/1.57 (step @p6782 :rule trans :premises (@p6781 @p6779)) % 1.33/1.57 (step @p6783 :rule refl :args (tptp.binintersectSubset3)) % 1.33/1.57 (step @p6784 :rule cong :premises (@p6783 @p6782) :args (@t542)) % 1.33/1.57 (step @p6785 :rule eq_resolve :premises (@p111 @p6784)) % 1.33/1.57 (step @p6786 :rule cong :premises (@p6785 @p6773) :args (@t4492)) % 1.33/1.57 (step @p6787 :rule nary_cong :premises (@p6583 @p6675) :args (@t4493)) % 1.33/1.57 (step @p6788 :rule cong :premises (@p6787) :args ((forall @t12 @t4493))) % 1.33/1.57 (step @p6789 :rule bool-impl-elim :args (@t422 @t4471)) % 1.33/1.57 (step @p6790 :rule cong :premises (@p6789) :args ((forall @t12 (=> @t422 @t4471)))) % 1.33/1.57 (step @p6791 :rule trans :premises (@p6790 @p6788)) % 1.33/1.57 (step @p6792 :rule cong :premises (@p6488 @p6682) :args (@t536)) % 1.33/1.57 (step @p6793 :rule cong :premises (@p6792) :args (@t537)) % 1.33/1.57 (step @p6794 :rule trans :premises (@p6793 @p6791)) % 1.33/1.57 (step @p6795 :rule refl :args (tptp.binintersectSubset2)) % 1.33/1.57 (step @p6796 :rule cong :premises (@p6795 @p6794) :args (@t538)) % 1.33/1.57 (step @p6797 :rule eq_resolve :premises (@p110 @p6796)) % 1.33/1.57 (step @p6798 :rule cong :premises (@p6797 @p6786) :args (@t4494)) % 1.33/1.57 (step @p6799 :rule refl :args ((tptp.subset @t517 @t2))) % 1.33/1.57 (step @p6800 :rule cong :premises (@p6632 @p1248) :args (@t2309)) % 1.33/1.57 (step @p6801 :rule trans :premises (@p6800 @p6799)) % 1.33/1.57 (step @p6802 :rule ho_cong :premises (@p6714 @p1248)) % 1.33/1.57 (step @p6803 :rule cong :premises (@p6802 @p6801) :args ((= (_ @t4479 @t2) @t2309))) % 1.33/1.57 (step @p6804 :rule symm :premises (@p6803)) % 1.33/1.57 (step @p6805 :rule refl :args (@t532)) % 1.33/1.57 (step @p6806 :rule eq_resolve :premises (@p6805 @p6804)) % 1.33/1.57 (step @p6807 :rule ho_cong :premises (@p6720 @p1248)) % 1.33/1.57 (step @p6808 :rule trans :premises (@p6807 @p6806)) % 1.33/1.57 (step @p6809 :rule cong :premises (@p6808) :args (@t533)) % 1.33/1.57 (step @p6810 :rule refl :args (tptp.binintersectLsub)) % 1.33/1.57 (step @p6811 :rule cong :premises (@p6810 @p6809) :args (@t534)) % 1.33/1.57 (step @p6812 :rule eq_resolve :premises (@p109 @p6811)) % 1.33/1.57 (step @p6813 :rule cong :premises (@p6812 @p6798) :args (@t4495)) % 1.33/1.57 (step @p6814 :rule nary_cong :premises (@p6764 @p909) :args (@t4496)) % 1.33/1.57 (step @p6815 :rule cong :premises (@p6814) :args ((forall @t245 @t4496))) % 1.33/1.57 (step @p6816 :rule bool-impl-elim :args (@t518 @t7)) % 1.33/1.57 (step @p6817 :rule cong :premises (@p6816) :args (@t529)) % 1.33/1.57 (step @p6818 :rule trans :premises (@p6817 @p6815)) % 1.33/1.57 (step @p6819 :rule refl :args (tptp.binintersectEL)) % 1.33/1.57 (step @p6820 :rule cong :premises (@p6819 @p6818) :args (@t530)) % 1.33/1.57 (step @p6821 :rule eq_resolve :premises (@p108 @p6820)) % 1.33/1.57 (step @p6822 :rule cong :premises (@p6821 @p6813) :args (@t4497)) % 1.33/1.57 (step @p6823 :rule refl :args ((tptp.subset @t104 @t517))) % 1.33/1.57 (step @p6824 :rule refl :args (@t104)) % 1.33/1.57 (step @p6825 :rule cong :premises (@p6824 @p6632) :args (@t2312)) % 1.33/1.57 (step @p6826 :rule trans :premises (@p6825 @p6823)) % 1.33/1.57 (step @p6827 :rule refl :args (@t522)) % 1.33/1.57 (step @p6828 :rule ho_cong :premises (@p6827 @p6632)) % 1.33/1.57 (step @p6829 :rule cong :premises (@p6828 @p6826) :args ((= (_ @t522 @t2288) @t2312))) % 1.33/1.57 (step @p6830 :rule symm :premises (@p6829)) % 1.33/1.57 (step @p6831 :rule refl :args (@t523)) % 1.33/1.57 (step @p6832 :rule eq_resolve :premises (@p6831 @p6830)) % 1.33/1.57 (step @p6833 :rule ho_cong :premises (@p6827 @p6649)) % 1.33/1.57 (step @p6834 :rule trans :premises (@p6833 @p6832)) % 1.33/1.57 (step @p6835 :rule refl :args (@t2313)) % 1.33/1.57 (step @p6836 :rule refl :args (@t524)) % 1.33/1.57 (step @p6837 :rule cong :premises (@p6836 @p6835) :args ((= @t524 @t2313))) % 1.33/1.57 (step @p6838 :rule symm :premises (@p6837)) % 1.33/1.57 (step @p6839 :rule eq_resolve :premises (@p6836 @p6838)) % 1.33/1.57 (step @p6840 :rule cong :premises (@p6839) :args (@t4498)) % 1.33/1.57 (step @p6841 :rule refl :args (@t2314)) % 1.33/1.57 (step @p6842 :rule refl :args (@t526)) % 1.33/1.57 (step @p6843 :rule cong :premises (@p6842 @p6841) :args ((= @t526 @t2314))) % 1.33/1.57 (step @p6844 :rule symm :premises (@p6843)) % 1.33/1.57 (step @p6845 :rule eq_resolve :premises (@p6842 @p6844)) % 1.33/1.57 (step @p6846 :rule cong :premises (@p6845) :args (@t4499)) % 1.33/1.57 (step @p6847 :rule nary_cong :premises (@p6846 @p6840 @p6834) :args (@t4500)) % 1.33/1.57 (step @p6848 :rule cong :premises (@p6847) :args ((forall @t457 @t4500))) % 1.33/1.57 (step @p6849 :rule aci_norm :args ((= (or @t4499 (or @t4498 @t523)) @t4500))) % 1.33/1.57 (step @p6850 :rule bool-impl-elim :args (@t524 @t523)) % 1.33/1.57 (step @p6851 :rule refl :args (@t4499)) % 1.33/1.57 (step @p6852 :rule nary_cong :premises (@p6851 @p6850) :args ((or @t4499 @t525))) % 1.33/1.57 (step @p6853 :rule trans :premises (@p6852 @p6849)) % 1.33/1.57 (step @p6854 :rule bool-impl-elim :args (@t526 @t525)) % 1.33/1.57 (step @p6855 :rule trans :premises (@p6854 @p6853)) % 1.33/1.57 (step @p6856 :rule cong :premises (@p6855) :args (@t527)) % 1.33/1.57 (step @p6857 :rule trans :premises (@p6856 @p6848)) % 1.33/1.57 (step @p6858 :rule refl :args (tptp.binintersectSubset5)) % 1.33/1.57 (step @p6859 :rule cong :premises (@p6858 @p6857) :args (@t528)) % 1.33/1.57 (step @p6860 :rule eq_resolve :premises (@p107 @p6859)) % 1.33/1.57 (step @p6861 :rule cong :premises (@p6860 @p6822) :args (@t4501)) % 1.33/1.57 (step @p6862 :rule nary_cong :premises (@p910 @p6359 @p6763) :args (@t4502)) % 1.33/1.57 (step @p6863 :rule cong :premises (@p6862) :args ((forall @t245 @t4502))) % 1.33/1.57 (step @p6864 :rule aci_norm :args ((= (or @t197 (or @t437 @t518)) @t4502))) % 1.33/1.57 (step @p6865 :rule bool-impl-elim :args (@t6 @t518)) % 1.33/1.57 (step @p6866 :rule nary_cong :premises (@p915 @p6865) :args ((or @t197 @t519))) % 1.33/1.57 (step @p6867 :rule trans :premises (@p6866 @p6864)) % 1.33/1.57 (step @p6868 :rule bool-impl-elim :args (@t7 @t519)) % 1.33/1.57 (step @p6869 :rule trans :premises (@p6868 @p6867)) % 1.33/1.57 (step @p6870 :rule cong :premises (@p6869) :args (@t520)) % 1.33/1.57 (step @p6871 :rule trans :premises (@p6870 @p6863)) % 1.33/1.57 (step @p6872 :rule refl :args (tptp.binintersectI)) % 1.33/1.57 (step @p6873 :rule cong :premises (@p6872 @p6871) :args (@t521)) % 1.33/1.57 (step @p6874 :rule eq_resolve :premises (@p106 @p6873)) % 1.33/1.57 (step @p6875 :rule cong :premises (@p6874 @p6861) :args (@t4503)) % 1.33/1.57 (step @p6876 :rule refl :args ((tptp.subset @t1 @t494))) % 1.33/1.57 (step @p6877 :rule cong :premises (@p3232 @p5922) :args (@t2317)) % 1.33/1.57 (step @p6878 :rule trans :premises (@p6877 @p6876)) % 1.33/1.57 (step @p6879 :rule refl :args (@t426)) % 1.33/1.57 (step @p6880 :rule ho_cong :premises (@p6879 @p5922)) % 1.33/1.57 (step @p6881 :rule cong :premises (@p6880 @p6878) :args ((= (_ @t426 @t2205) @t2317))) % 1.33/1.57 (step @p6882 :rule symm :premises (@p6881)) % 1.33/1.57 (step @p6883 :rule refl :args (@t513)) % 1.33/1.57 (step @p6884 :rule eq_resolve :premises (@p6883 @p6882)) % 1.33/1.57 (step @p6885 :rule ho_cong :premises (@p6879 @p5947)) % 1.33/1.57 (step @p6886 :rule trans :premises (@p6885 @p6884)) % 1.33/1.57 (step @p6887 :rule cong :premises (@p6886) :args (@t514)) % 1.33/1.57 (step @p6888 :rule refl :args (tptp.binunionRsub)) % 1.33/1.57 (step @p6889 :rule cong :premises (@p6888 @p6887) :args (@t515)) % 1.33/1.57 (step @p6890 :rule eq_resolve :premises (@p105 @p6889)) % 1.33/1.57 (step @p6891 :rule cong :premises (@p6890 @p6875) :args (@t4504)) % 1.33/1.57 (step @p6892 :rule refl :args ((tptp.subset @t2 @t494))) % 1.33/1.57 (step @p6893 :rule cong :premises (@p1248 @p5922) :args (@t2319)) % 1.33/1.57 (step @p6894 :rule trans :premises (@p6893 @p6892)) % 1.33/1.57 (step @p6895 :rule ho_cong :premises (@p5727 @p5922)) % 1.33/1.57 (step @p6896 :rule cong :premises (@p6895 @p6894) :args ((= (_ @t421 @t2205) @t2319))) % 1.33/1.57 (step @p6897 :rule symm :premises (@p6896)) % 1.33/1.57 (step @p6898 :rule refl :args (@t510)) % 1.33/1.57 (step @p6899 :rule eq_resolve :premises (@p6898 @p6897)) % 1.33/1.57 (step @p6900 :rule ho_cong :premises (@p5727 @p5947)) % 1.33/1.57 (step @p6901 :rule trans :premises (@p6900 @p6899)) % 1.33/1.57 (step @p6902 :rule cong :premises (@p6901) :args (@t511)) % 1.33/1.57 (step @p6903 :rule refl :args (tptp.binunionLsub)) % 1.33/1.57 (step @p6904 :rule cong :premises (@p6903 @p6902) :args (@t512)) % 1.33/1.57 (step @p6905 :rule eq_resolve :premises (@p104 @p6904)) % 1.33/1.57 (step @p6906 :rule cong :premises (@p6905 @p6891) :args (@t4505)) % 1.33/1.57 (step @p6907 :rule refl :args ((tptp.in @t4 @t494))) % 1.33/1.57 (step @p6908 :rule cong :premises (@p874 @p5922) :args (@t2321)) % 1.33/1.57 (step @p6909 :rule trans :premises (@p6908 @p6907)) % 1.33/1.57 (step @p6910 :rule ho_cong :premises (@p877 @p5922)) % 1.33/1.57 (step @p6911 :rule cong :premises (@p6910 @p6909) :args ((= (_ @t5 @t2205) @t2321))) % 1.33/1.57 (step @p6912 :rule symm :premises (@p6911)) % 1.33/1.57 (step @p6913 :rule refl :args (@t495)) % 1.33/1.57 (step @p6914 :rule eq_resolve :premises (@p6913 @p6912)) % 1.33/1.57 (step @p6915 :rule ho_cong :premises (@p877 @p5947)) % 1.33/1.57 (step @p6916 :rule trans :premises (@p6915 @p6914)) % 1.33/1.57 (step @p6917 :rule cong :premises (@p6916) :args (@t4506)) % 1.33/1.57 (step @p6918 :rule nary_cong :premises (@p6917 @p909 @p6336) :args (@t4507)) % 1.33/1.57 (step @p6919 :rule cong :premises (@p6918) :args ((forall @t245 @t4507))) % 1.33/1.57 (step @p6920 :rule aci_norm :args ((= (or @t4506 @t507) @t4507))) % 1.33/1.57 (step @p6921 :rule bool-impl-elim :args (@t495 @t507)) % 1.33/1.57 (step @p6922 :rule trans :premises (@p6921 @p6920)) % 1.33/1.57 (step @p6923 :rule cong :premises (@p6922) :args (@t508)) % 1.33/1.57 (step @p6924 :rule trans :premises (@p6923 @p6919)) % 1.33/1.57 (step @p6925 :rule refl :args (tptp.binunionE)) % 1.33/1.57 (step @p6926 :rule cong :premises (@p6925 @p6924) :args (@t509)) % 1.33/1.57 (step @p6927 :rule eq_resolve :premises (@p103 @p6926)) % 1.33/1.57 (step @p6928 :rule cong :premises (@p6927 @p6906) :args (@t4508)) % 1.33/1.57 (step @p6929 :rule aci_norm :args ((= (and @t2261 true) @t2261))) % 1.33/1.57 (step @p6930 :rule nary_cong :premises (@p6417 @p3035) :args (@t4509)) % 1.33/1.57 (step @p6931 :rule trans :premises (@p6930 @p6929)) % 1.33/1.57 (step @p6932 :rule aci_norm :args ((= (and @t1794 true) @t1794))) % 1.33/1.57 (step @p6933 :rule nary_cong :premises (@p4722 @p3035) :args (@t4510)) % 1.33/1.57 (step @p6934 :rule trans :premises (@p6933 @p6932)) % 1.33/1.57 (step @p6935 :rule refl :args (@t2322)) % 1.33/1.57 (step @p6936 :rule nary_cong :premises (@p6935 @p6934 @p6931) :args (@t4511)) % 1.33/1.57 (step @p6937 :rule aci_norm :args ((= @t4512 @t4511))) % 1.33/1.57 (step @p6938 :rule trans :premises (@p6937 @p6936)) % 1.33/1.57 (step @p6939 :rule cong :premises (@p6938) :args ((forall @t245 @t4512))) % 1.33/1.57 (step @p6940 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3429 @t2322 @t4514 @t4513 @t173)) @t4512))) % 1.33/1.57 (step @p6941 :rule refl :args (@t4513)) % 1.33/1.57 (step @p6942 :rule refl :args (@t4514)) % 1.33/1.57 (step @p6943 :rule refl :args (@t2322)) % 1.33/1.57 (step @p6944 :rule nary_cong :premises (@p2528 @p6943 @p6942 @p6941 @p2522) :args (@t4515)) % 1.33/1.57 (step @p6945 :rule aci_norm :args ((= @t4516 @t4515))) % 1.33/1.57 (step @p6946 :rule trans :premises (@p6945 @p6944)) % 1.33/1.57 (step @p6947 :rule cong :premises (@p6946) :args (@t4517)) % 1.33/1.57 (step @p6948 :rule trans :premises (@p6947 @p6940)) % 1.33/1.57 (step @p6949 :rule cong :premises (@p6948) :args (@t4518)) % 1.33/1.57 (step @p6950 :rule quant-merge-prenex :args ((= @t4518 (forall @t504 @t4516)))) % 1.33/1.57 (step @p6951 :rule symm :premises (@p6950)) % 1.33/1.57 (step @p6952 :rule trans :premises (@p6951 @p6949)) % 1.33/1.57 (step @p6953 :rule trans :premises (@p6952 @p6939)) % 1.33/1.57 (step @p6954 :rule nary_cong :premises (@p6336 @p2609) :args (@t4443)) % 1.33/1.57 (step @p6955 :rule nary_cong :premises (@p909 @p2609) :args (@t4519)) % 1.33/1.57 (step @p6956 :rule nary_cong :premises (@p6917 @p6955 @p6954 @p2522) :args (@t4520)) % 1.33/1.57 (step @p6957 :rule cong :premises (@p6956) :args ((forall @t504 @t4520))) % 1.33/1.57 (step @p6958 :rule trans :premises (@p6957 @p6953)) % 1.33/1.57 (step @p6959 :rule aci_norm :args ((= (or @t4506 @t4521) @t4520))) % 1.33/1.57 (step @p6960 :rule aci_norm :args ((= (or @t4519 (or @t4443 @t173)) @t4521))) % 1.33/1.57 (step @p6961 :rule nary_cong :premises (@p6443 @p2522) :args ((or @t4444 @t173))) % 1.33/1.57 (step @p6962 :rule bool-impl-elim :args (@t500 @t173)) % 1.33/1.57 (step @p6963 :rule trans :premises (@p6962 @p6961)) % 1.33/1.57 (step @p6964 :rule bool-implies-de-morgan :args (@t7 @t173)) % 1.33/1.57 (step @p6965 :rule nary_cong :premises (@p6964 @p6963) :args ((or (not @t502) @t501))) % 1.33/1.57 (step @p6966 :rule trans :premises (@p6965 @p6960)) % 1.33/1.57 (step @p6967 :rule bool-impl-elim :args (@t502 @t501)) % 1.33/1.57 (step @p6968 :rule trans :premises (@p6967 @p6966)) % 1.33/1.57 (step @p6969 :rule refl :args (@t4506)) % 1.33/1.57 (step @p6970 :rule nary_cong :premises (@p6969 @p6968) :args ((or @t4506 @t503))) % 1.33/1.57 (step @p6971 :rule trans :premises (@p6970 @p6959)) % 1.33/1.57 (step @p6972 :rule bool-impl-elim :args (@t495 @t503)) % 1.33/1.57 (step @p6973 :rule trans :premises (@p6972 @p6971)) % 1.33/1.57 (step @p6974 :rule cong :premises (@p6973) :args (@t505)) % 1.33/1.57 (step @p6975 :rule trans :premises (@p6974 @p6958)) % 1.33/1.57 (step @p6976 :rule refl :args (tptp.binunionEcases)) % 1.33/1.57 (step @p6977 :rule cong :premises (@p6976 @p6975) :args (@t506)) % 1.33/1.57 (step @p6978 :rule eq_resolve :premises (@p102 @p6977)) % 1.33/1.57 (step @p6979 :rule cong :premises (@p6978 @p6928) :args (@t4522)) % 1.33/1.57 (step @p6980 :rule nary_cong :premises (@p6359 @p6916) :args (@t4523)) % 1.33/1.57 (step @p6981 :rule cong :premises (@p6980) :args ((forall @t245 @t4523))) % 1.33/1.57 (step @p6982 :rule bool-impl-elim :args (@t6 @t495)) % 1.33/1.57 (step @p6983 :rule cong :premises (@p6982) :args (@t498)) % 1.33/1.57 (step @p6984 :rule trans :premises (@p6983 @p6981)) % 1.33/1.57 (step @p6985 :rule refl :args (tptp.binunionIR)) % 1.33/1.57 (step @p6986 :rule cong :premises (@p6985 @p6984) :args (@t499)) % 1.33/1.57 (step @p6987 :rule eq_resolve :premises (@p101 @p6986)) % 1.33/1.57 (step @p6988 :rule cong :premises (@p6987 @p6979) :args (@t4524)) % 1.33/1.57 (step @p6989 :rule eq-symm :args (@t2257 tptp.upairset2IR)) % 1.33/1.57 (step @p6990 :rule refl :args (tptp.upairset2IR)) % 1.33/1.57 (step @p6991 :rule cong :premises (@p6309 @p6990) :args ((= @t304 tptp.upairset2IR))) % 1.33/1.57 (step @p6992 :rule trans :premises (@p6991 @p6989)) % 1.33/1.57 (step @p6993 :rule eq-symm :args (tptp.upairset2IR @t304)) % 1.33/1.57 (step @p6994 :rule trans :premises (@p6993 @p6992)) % 1.33/1.57 (step @p6995 :rule eq_resolve :premises (@p100 @p6994)) % 1.33/1.57 (step @p6996 :rule cong :premises (@p6995 @p6988) :args (@t4525)) % 1.33/1.57 (step @p6997 :rule nary_cong :premises (@p910 @p6916) :args (@t4526)) % 1.33/1.57 (step @p6998 :rule cong :premises (@p6997) :args ((forall @t245 @t4526))) % 1.33/1.57 (step @p6999 :rule bool-impl-elim :args (@t7 @t495)) % 1.33/1.57 (step @p7000 :rule cong :premises (@p6999) :args (@t496)) % 1.33/1.57 (step @p7001 :rule trans :premises (@p7000 @p6998)) % 1.33/1.57 (step @p7002 :rule refl :args (tptp.binunionIL)) % 1.33/1.57 (step @p7003 :rule cong :premises (@p7002 @p7001) :args (@t497)) % 1.33/1.57 (step @p7004 :rule eq_resolve :premises (@p99 @p7003)) % 1.33/1.57 (step @p7005 :rule cong :premises (@p7004 @p6996) :args (@t4527)) % 1.33/1.57 (step @p7006 :rule cong :premises (@p4124 @p2773) :args (@t4528)) % 1.33/1.57 (step @p7007 :rule cong :premises (@p7006) :args ((forall @t311 @t4528))) % 1.33/1.57 (step @p7008 :rule refl :args ((tptp.subset @t306 @t2))) % 1.33/1.57 (step @p7009 :rule cong :premises (@p4136 @p1248) :args (@t4528)) % 1.33/1.57 (step @p7010 :rule trans :premises (@p7009 @p7008)) % 1.33/1.57 (step @p7011 :rule ho_cong :premises (@p1314 @p4136)) % 1.33/1.57 (step @p7012 :rule ho_cong :premises (@p7011 @p1248)) % 1.33/1.57 (step @p7013 :rule cong :premises (@p7012 @p7010) :args ((= (_ (_ tptp.subset @t3959) @t2) @t4528))) % 1.33/1.57 (step @p7014 :rule symm :premises (@p7013)) % 1.33/1.57 (step @p7015 :rule refl :args (@t491)) % 1.33/1.57 (step @p7016 :rule eq_resolve :premises (@p7015 @p7014)) % 1.33/1.57 (step @p7017 :rule ho_cong :premises (@p1314 @p4156)) % 1.33/1.57 (step @p7018 :rule ho_cong :premises (@p7017 @p1248)) % 1.33/1.57 (step @p7019 :rule trans :premises (@p7018 @p7016)) % 1.33/1.57 (step @p7020 :rule cong :premises (@p7019) :args (@t492)) % 1.33/1.57 (step @p7021 :rule trans :premises (@p7020 @p7007)) % 1.33/1.57 (step @p7022 :rule refl :args (tptp.sepSubset)) % 1.33/1.57 (step @p7023 :rule cong :premises (@p7022 @p7021) :args (@t493)) % 1.33/1.57 (step @p7024 :rule eq_resolve :premises (@p98 @p7023)) % 1.33/1.57 (step @p7025 :rule cong :premises (@p7024 @p7005) :args (@t4529)) % 1.33/1.57 (step @p7026 :rule refl :args (@t1632)) % 1.33/1.57 (step @p7027 :rule cong :premises (@p4124 @p7026) :args (@t4530)) % 1.33/1.57 (step @p7028 :rule cong :premises (@p7027) :args ((forall @t311 @t4530))) % 1.33/1.57 (step @p7029 :rule refl :args ((tptp.in @t306 @t33))) % 1.33/1.57 (step @p7030 :rule cong :premises (@p4136 @p785) :args (@t4530)) % 1.33/1.57 (step @p7031 :rule trans :premises (@p7030 @p7029)) % 1.33/1.57 (step @p7032 :rule ho_cong :premises (@p1255 @p4136)) % 1.33/1.57 (step @p7033 :rule ho_cong :premises (@p7032 @p785)) % 1.33/1.57 (step @p7034 :rule cong :premises (@p7033 @p7031) :args ((= (_ (_ tptp.in @t3959) @t1632) @t4530))) % 1.33/1.57 (step @p7035 :rule symm :premises (@p7034)) % 1.33/1.57 (step @p7036 :rule refl :args (@t488)) % 1.33/1.57 (step @p7037 :rule eq_resolve :premises (@p7036 @p7035)) % 1.33/1.57 (step @p7038 :rule ho_cong :premises (@p1255 @p4156)) % 1.33/1.57 (step @p7039 :rule ho_cong :premises (@p7038 @p798)) % 1.33/1.57 (step @p7040 :rule trans :premises (@p7039 @p7037)) % 1.33/1.57 (step @p7041 :rule cong :premises (@p7040) :args (@t489)) % 1.33/1.57 (step @p7042 :rule trans :premises (@p7041 @p7028)) % 1.33/1.57 (step @p7043 :rule refl :args (tptp.sepInPowerset)) % 1.33/1.57 (step @p7044 :rule cong :premises (@p7043 @p7042) :args (@t490)) % 1.33/1.57 (step @p7045 :rule eq_resolve :premises (@p97 @p7044)) % 1.33/1.57 (step @p7046 :rule cong :premises (@p7045 @p7025) :args (@t4531)) % 1.33/1.57 (step @p7047 :rule refl :args ((tptp.subset @t33 @t393))) % 1.33/1.57 (step @p7048 :rule refl :args (@t2328)) % 1.33/1.57 (step @p7049 :rule cong :premises (@p785 @p7048) :args (@t2329)) % 1.33/1.57 (step @p7050 :rule trans :premises (@p7049 @p7047)) % 1.33/1.57 (step @p7051 :rule ho_cong :premises (@p1314 @p785)) % 1.33/1.57 (step @p7052 :rule ho_cong :premises (@p7051 @p7048)) % 1.33/1.57 (step @p7053 :rule cong :premises (@p7052 @p7050) :args ((= (_ (_ tptp.subset @t1632) @t2328) @t2329))) % 1.33/1.57 (step @p7054 :rule symm :premises (@p7053)) % 1.33/1.57 (step @p7055 :rule refl :args (@t485)) % 1.33/1.57 (step @p7056 :rule eq_resolve :premises (@p7055 @p7054)) % 1.33/1.57 (step @p7057 :rule refl :args (@t393)) % 1.33/1.57 (step @p7058 :rule cong :premises (@p7057 @p7048) :args ((= @t393 @t2328))) % 1.33/1.57 (step @p7059 :rule symm :premises (@p7058)) % 1.33/1.57 (step @p7060 :rule eq_resolve :premises (@p7057 @p7059)) % 1.33/1.57 (step @p7061 :rule ho_cong :premises (@p1314 @p798)) % 1.33/1.57 (step @p7062 :rule ho_cong :premises (@p7061 @p7060)) % 1.33/1.57 (step @p7063 :rule trans :premises (@p7062 @p7056)) % 1.33/1.57 (step @p7064 :rule nary_cong :premises (@p6583 @p7063) :args (@t4532)) % 1.33/1.57 (step @p7065 :rule cong :premises (@p7064) :args ((forall @t12 @t4532))) % 1.33/1.57 (step @p7066 :rule bool-impl-elim :args (@t422 @t485)) % 1.33/1.57 (step @p7067 :rule cong :premises (@p7066) :args (@t486)) % 1.33/1.57 (step @p7068 :rule trans :premises (@p7067 @p7065)) % 1.33/1.57 (step @p7069 :rule refl :args (tptp.powersetsubset)) % 1.33/1.57 (step @p7070 :rule cong :premises (@p7069 @p7068) :args (@t487)) % 1.33/1.57 (step @p7071 :rule eq_resolve :premises (@p96 @p7070)) % 1.33/1.57 (step @p7072 :rule cong :premises (@p7071 @p7046) :args (@t4533)) % 1.33/1.57 (step @p7073 :rule refl :args ((tptp.in @t2 @t33))) % 1.33/1.57 (step @p7074 :rule cong :premises (@p1248 @p785) :args (@t2331)) % 1.33/1.57 (step @p7075 :rule trans :premises (@p7074 @p7073)) % 1.33/1.57 (step @p7076 :rule refl :args (@t468)) % 1.33/1.57 (step @p7077 :rule ho_cong :premises (@p7076 @p785)) % 1.33/1.57 (step @p7078 :rule cong :premises (@p7077 @p7075) :args ((= (_ @t468 @t1632) @t2331))) % 1.33/1.57 (step @p7079 :rule symm :premises (@p7078)) % 1.33/1.57 (step @p7080 :rule refl :args (@t482)) % 1.33/1.57 (step @p7081 :rule eq_resolve :premises (@p7080 @p7079)) % 1.33/1.57 (step @p7082 :rule ho_cong :premises (@p7076 @p798)) % 1.33/1.57 (step @p7083 :rule trans :premises (@p7082 @p7081)) % 1.33/1.57 (step @p7084 :rule cong :premises (@p7083) :args (@t483)) % 1.33/1.57 (step @p7085 :rule refl :args (tptp.inPowerset)) % 1.33/1.57 (step @p7086 :rule cong :premises (@p7085 @p7084) :args (@t484)) % 1.33/1.57 (step @p7087 :rule eq_resolve :premises (@p95 @p7086)) % 1.33/1.57 (step @p7088 :rule cong :premises (@p7087 @p7072) :args (@t4534)) % 1.33/1.57 (step @p7089 :rule refl :args ((tptp.in @t1 @t33))) % 1.33/1.57 (step @p7090 :rule cong :premises (@p3232 @p785) :args (@t2333)) % 1.33/1.57 (step @p7091 :rule trans :premises (@p7090 @p7089)) % 1.33/1.57 (step @p7092 :rule refl :args (@t34)) % 1.33/1.57 (step @p7093 :rule ho_cong :premises (@p7092 @p785)) % 1.33/1.57 (step @p7094 :rule cong :premises (@p7093 @p7091) :args ((= (_ @t34 @t1632) @t2333))) % 1.33/1.57 (step @p7095 :rule symm :premises (@p7094)) % 1.33/1.57 (step @p7096 :rule refl :args (@t35)) % 1.33/1.57 (step @p7097 :rule eq_resolve :premises (@p7096 @p7095)) % 1.33/1.57 (step @p7098 :rule ho_cong :premises (@p7092 @p798)) % 1.33/1.57 (step @p7099 :rule trans :premises (@p7098 @p7097)) % 1.33/1.57 (step @p7100 :rule cong :premises (@p7099) :args (@t4535)) % 1.33/1.57 (step @p7101 :rule nary_cong :premises (@p7100 @p6695) :args (@t4536)) % 1.33/1.57 (step @p7102 :rule cong :premises (@p7101) :args ((forall @t12 @t4536))) % 1.33/1.57 (step @p7103 :rule bool-impl-elim :args (@t35 @t427)) % 1.33/1.57 (step @p7104 :rule cong :premises (@p7103) :args (@t480)) % 1.33/1.57 (step @p7105 :rule trans :premises (@p7104 @p7102)) % 1.33/1.57 (step @p7106 :rule refl :args (tptp.powersetE1)) % 1.33/1.57 (step @p7107 :rule cong :premises (@p7106 @p7105) :args (@t481)) % 1.33/1.57 (step @p7108 :rule eq_resolve :premises (@p94 @p7107)) % 1.33/1.57 (step @p7109 :rule cong :premises (@p7108 @p7088) :args (@t4537)) % 1.33/1.57 (step @p7110 :rule nary_cong :premises (@p6696 @p7099) :args (@t4538)) % 1.33/1.57 (step @p7111 :rule cong :premises (@p7110) :args ((forall @t12 @t4538))) % 1.33/1.57 (step @p7112 :rule bool-impl-elim :args (@t427 @t35)) % 1.33/1.57 (step @p7113 :rule cong :premises (@p7112) :args (@t478)) % 1.33/1.57 (step @p7114 :rule trans :premises (@p7113 @p7111)) % 1.33/1.57 (step @p7115 :rule refl :args (tptp.powersetI1)) % 1.33/1.57 (step @p7116 :rule cong :premises (@p7115 @p7114) :args (@t479)) % 1.33/1.57 (step @p7117 :rule eq_resolve :premises (@p93 @p7116)) % 1.33/1.57 (step @p7118 :rule cong :premises (@p7117 @p7109) :args (@t4539)) % 1.33/1.57 (step @p7119 :rule refl :args (@t196)) % 1.33/1.57 (step @p7120 :rule refl :args (@t2337)) % 1.33/1.57 (step @p7121 :rule refl :args (@t475)) % 1.33/1.57 (step @p7122 :rule cong :premises (@p7121 @p7120) :args ((= @t475 @t2337))) % 1.33/1.57 (step @p7123 :rule symm :premises (@p7122)) % 1.33/1.57 (step @p7124 :rule eq_resolve :premises (@p7121 @p7123)) % 1.33/1.57 (step @p7125 :rule cong :premises (@p7124) :args (@t4540)) % 1.33/1.57 (step @p7126 :rule nary_cong :premises (@p7125 @p7119) :args (@t4541)) % 1.33/1.57 (step @p7127 :rule cong :premises (@p7126) :args ((forall @t64 @t4541))) % 1.33/1.57 (step @p7128 :rule bool-impl-elim :args (@t475 @t196)) % 1.33/1.57 (step @p7129 :rule cong :premises (@p7128) :args (@t476)) % 1.33/1.57 (step @p7130 :rule trans :premises (@p7129 @p7127)) % 1.33/1.57 (step @p7131 :rule refl :args (tptp.subsetemptysetimpeq)) % 1.33/1.57 (step @p7132 :rule cong :premises (@p7131 @p7130) :args (@t477)) % 1.33/1.57 (step @p7133 :rule eq_resolve :premises (@p92 @p7132)) % 1.33/1.57 (step @p7134 :rule cong :premises (@p7133 @p7118) :args (@t4542)) % 1.33/1.57 (step @p7135 :rule refl :args (@t3)) % 1.33/1.57 (step @p7136 :rule nary_cong :premises (@p6583 @p6696 @p7135) :args (@t4543)) % 1.33/1.57 (step @p7137 :rule cong :premises (@p7136) :args ((forall @t12 @t4543))) % 1.33/1.57 (step @p7138 :rule aci_norm :args ((= (or @t441 (or @t4476 @t3)) @t4543))) % 1.33/1.57 (step @p7139 :rule bool-impl-elim :args (@t427 @t3)) % 1.33/1.57 (step @p7140 :rule refl :args (@t441)) % 1.33/1.57 (step @p7141 :rule nary_cong :premises (@p7140 @p7139) :args ((or @t441 @t472))) % 1.33/1.57 (step @p7142 :rule trans :premises (@p7141 @p7138)) % 1.33/1.57 (step @p7143 :rule bool-impl-elim :args (@t422 @t472)) % 1.33/1.57 (step @p7144 :rule trans :premises (@p7143 @p7142)) % 1.33/1.57 (step @p7145 :rule cong :premises (@p7144) :args (@t473)) % 1.33/1.57 (step @p7146 :rule trans :premises (@p7145 @p7137)) % 1.33/1.57 (step @p7147 :rule refl :args (tptp.setextsub)) % 1.33/1.57 (step @p7148 :rule cong :premises (@p7147 @p7146) :args (@t474)) % 1.33/1.57 (step @p7149 :rule eq_resolve :premises (@p91 @p7148)) % 1.33/1.57 (step @p7150 :rule cong :premises (@p7149 @p7134) :args (@t4544)) % 1.33/1.57 (step @p7151 :rule refl :args ((tptp.in @t2 @t393))) % 1.33/1.57 (step @p7152 :rule cong :premises (@p1248 @p7048) :args (@t2340)) % 1.33/1.57 (step @p7153 :rule trans :premises (@p7152 @p7151)) % 1.33/1.57 (step @p7154 :rule ho_cong :premises (@p7076 @p7048)) % 1.33/1.57 (step @p7155 :rule cong :premises (@p7154 @p7153) :args ((= (_ @t468 @t2328) @t2340))) % 1.33/1.57 (step @p7156 :rule symm :premises (@p7155)) % 1.33/1.57 (step @p7157 :rule refl :args (@t469)) % 1.33/1.57 (step @p7158 :rule eq_resolve :premises (@p7157 @p7156)) % 1.33/1.57 (step @p7159 :rule ho_cong :premises (@p7076 @p7060)) % 1.33/1.57 (step @p7160 :rule trans :premises (@p7159 @p7158)) % 1.33/1.57 (step @p7161 :rule nary_cong :premises (@p6583 @p7160) :args (@t4545)) % 1.33/1.57 (step @p7162 :rule cong :premises (@p7161) :args ((forall @t12 @t4545))) % 1.33/1.57 (step @p7163 :rule bool-impl-elim :args (@t422 @t469)) % 1.33/1.57 (step @p7164 :rule cong :premises (@p7163) :args (@t470)) % 1.33/1.57 (step @p7165 :rule trans :premises (@p7164 @p7162)) % 1.33/1.57 (step @p7166 :rule refl :args (tptp.subset2powerset)) % 1.33/1.57 (step @p7167 :rule cong :premises (@p7166 @p7165) :args (@t471)) % 1.33/1.57 (step @p7168 :rule eq_resolve :premises (@p90 @p7167)) % 1.33/1.57 (step @p7169 :rule cong :premises (@p7168 @p7150) :args (@t4546)) % 1.33/1.57 (step @p7170 :rule refl :args ((tptp.subset @t2 @t464))) % 1.33/1.57 (step @p7171 :rule refl :args (@t2342)) % 1.33/1.57 (step @p7172 :rule cong :premises (@p1248 @p7171) :args (@t2343)) % 1.33/1.57 (step @p7173 :rule trans :premises (@p7172 @p7170)) % 1.33/1.57 (step @p7174 :rule ho_cong :premises (@p5727 @p7171)) % 1.33/1.57 (step @p7175 :rule cong :premises (@p7174 @p7173) :args ((= (_ @t421 @t2342) @t2343))) % 1.33/1.57 (step @p7176 :rule symm :premises (@p7175)) % 1.33/1.57 (step @p7177 :rule refl :args (@t465)) % 1.33/1.57 (step @p7178 :rule eq_resolve :premises (@p7177 @p7176)) % 1.33/1.57 (step @p7179 :rule refl :args (@t464)) % 1.33/1.57 (step @p7180 :rule cong :premises (@p7179 @p7171) :args ((= @t464 @t2342))) % 1.33/1.57 (step @p7181 :rule symm :premises (@p7180)) % 1.33/1.57 (step @p7182 :rule eq_resolve :premises (@p7179 @p7181)) % 1.33/1.57 (step @p7183 :rule ho_cong :premises (@p5727 @p7182)) % 1.33/1.57 (step @p7184 :rule trans :premises (@p7183 @p7178)) % 1.33/1.57 (step @p7185 :rule nary_cong :premises (@p6583 @p7184) :args (@t4547)) % 1.33/1.57 (step @p7186 :rule cong :premises (@p7185) :args ((forall @t249 @t4547))) % 1.33/1.57 (step @p7187 :rule bool-impl-elim :args (@t422 @t465)) % 1.33/1.57 (step @p7188 :rule cong :premises (@p7187) :args (@t466)) % 1.33/1.57 (step @p7189 :rule trans :premises (@p7188 @p7186)) % 1.33/1.57 (step @p7190 :rule refl :args (tptp.setadjoinSub2)) % 1.33/1.57 (step @p7191 :rule cong :premises (@p7190 @p7189) :args (@t467)) % 1.33/1.57 (step @p7192 :rule eq_resolve :premises (@p89 @p7191)) % 1.33/1.57 (step @p7193 :rule cong :premises (@p7192 @p7169) :args (@t4548)) % 1.33/1.57 (step @p7194 :rule refl :args ((tptp.subset @t2 @t25))) % 1.33/1.57 (step @p7195 :rule refl :args (@t2345)) % 1.33/1.57 (step @p7196 :rule cong :premises (@p1248 @p7195) :args (@t2346)) % 1.33/1.57 (step @p7197 :rule trans :premises (@p7196 @p7194)) % 1.33/1.57 (step @p7198 :rule ho_cong :premises (@p5727 @p7195)) % 1.33/1.57 (step @p7199 :rule cong :premises (@p7198 @p7197) :args ((= (_ @t421 @t2345) @t2346))) % 1.33/1.57 (step @p7200 :rule symm :premises (@p7199)) % 1.33/1.57 (step @p7201 :rule refl :args (@t460)) % 1.33/1.57 (step @p7202 :rule eq_resolve :premises (@p7201 @p7200)) % 1.33/1.57 (step @p7203 :rule refl :args (@t25)) % 1.33/1.57 (step @p7204 :rule cong :premises (@p7203 @p7195) :args ((= @t25 @t2345))) % 1.33/1.57 (step @p7205 :rule symm :premises (@p7204)) % 1.33/1.57 (step @p7206 :rule eq_resolve :premises (@p7203 @p7205)) % 1.33/1.57 (step @p7207 :rule ho_cong :premises (@p5727 @p7206)) % 1.33/1.57 (step @p7208 :rule trans :premises (@p7207 @p7202)) % 1.33/1.57 (step @p7209 :rule cong :premises (@p7208) :args (@t462)) % 1.33/1.57 (step @p7210 :rule refl :args (tptp.setadjoinSub)) % 1.33/1.57 (step @p7211 :rule cong :premises (@p7210 @p7209) :args (@t463)) % 1.33/1.57 (step @p7212 :rule eq_resolve :premises (@p88 @p7211)) % 1.33/1.57 (step @p7213 :rule cong :premises (@p7212 @p7193) :args (@t4549)) % 1.33/1.57 (step @p7214 :rule refl :args (@t2348)) % 1.33/1.57 (step @p7215 :rule refl :args (@t454)) % 1.33/1.57 (step @p7216 :rule cong :premises (@p7215 @p7214) :args ((= @t454 @t2348))) % 1.33/1.57 (step @p7217 :rule symm :premises (@p7216)) % 1.33/1.57 (step @p7218 :rule eq_resolve :premises (@p7215 @p7217)) % 1.33/1.57 (step @p7219 :rule refl :args (@t2349)) % 1.33/1.57 (step @p7220 :rule refl :args (@t455)) % 1.33/1.57 (step @p7221 :rule cong :premises (@p7220 @p7219) :args ((= @t455 @t2349))) % 1.33/1.57 (step @p7222 :rule symm :premises (@p7221)) % 1.33/1.57 (step @p7223 :rule eq_resolve :premises (@p7220 @p7222)) % 1.33/1.57 (step @p7224 :rule cong :premises (@p7223) :args (@t4550)) % 1.33/1.57 (step @p7225 :rule nary_cong :premises (@p6583 @p7224 @p7218) :args (@t4551)) % 1.33/1.57 (step @p7226 :rule cong :premises (@p7225) :args ((forall @t457 @t4551))) % 1.33/1.57 (step @p7227 :rule aci_norm :args ((= (or @t441 (or @t4550 @t454)) @t4551))) % 1.33/1.57 (step @p7228 :rule bool-impl-elim :args (@t455 @t454)) % 1.33/1.57 (step @p7229 :rule nary_cong :premises (@p7140 @p7228) :args ((or @t441 @t456))) % 1.33/1.57 (step @p7230 :rule trans :premises (@p7229 @p7227)) % 1.33/1.57 (step @p7231 :rule bool-impl-elim :args (@t422 @t456)) % 1.33/1.57 (step @p7232 :rule trans :premises (@p7231 @p7230)) % 1.33/1.57 (step @p7233 :rule cong :premises (@p7232) :args (@t458)) % 1.33/1.57 (step @p7234 :rule trans :premises (@p7233 @p7226)) % 1.33/1.57 (step @p7235 :rule refl :args (tptp.subsetTrans)) % 1.33/1.57 (step @p7236 :rule cong :premises (@p7235 @p7234) :args (@t459)) % 1.33/1.57 (step @p7237 :rule eq_resolve :premises (@p87 @p7236)) % 1.33/1.57 (step @p7238 :rule cong :premises (@p7237 @p7213) :args (@t4552)) % 1.33/1.57 (step @p7239 :rule refl :args (@t2351)) % 1.33/1.57 (step @p7240 :rule refl :args (@t451)) % 1.33/1.57 (step @p7241 :rule cong :premises (@p7240 @p7239) :args ((= @t451 @t2351))) % 1.33/1.57 (step @p7242 :rule symm :premises (@p7241)) % 1.33/1.57 (step @p7243 :rule eq_resolve :premises (@p7240 @p7242)) % 1.33/1.57 (step @p7244 :rule cong :premises (@p7243) :args (@t452)) % 1.33/1.57 (step @p7245 :rule refl :args (tptp.subsetRefl)) % 1.33/1.57 (step @p7246 :rule cong :premises (@p7245 @p7244) :args (@t453)) % 1.33/1.57 (step @p7247 :rule eq_resolve :premises (@p86 @p7246)) % 1.33/1.57 (step @p7248 :rule cong :premises (@p7247 @p7238) :args (@t4553)) % 1.33/1.57 (step @p7249 :rule bool-eq-true :args (tptp.notequalI2)) % 1.33/1.57 (step @p7250 :rule symm :premises (@p7249)) % 1.33/1.57 (step @p7251 :rule quant-unused-vars :args ((= (forall @t4554 true) true))) % 1.33/1.57 (step @p7252 :rule bool-or-taut2 :args (false @t2261 false false)) % 1.33/1.57 (step @p7253 :rule cong :premises (@p7252) :args ((forall @t4554 @t4555))) % 1.33/1.57 (step @p7254 :rule trans :premises (@p7253 @p7251)) % 1.33/1.57 (step @p7255 :rule aci_norm :args ((= (or @t2263 @t2261 false) @t4555))) % 1.33/1.57 (step @p7256 :rule eq-refl :args (@t1)) % 1.33/1.57 (step @p7257 :rule cong :premises (@p7256) :args (@t4556)) % 1.33/1.57 (step @p7258 :rule trans :premises (@p7257 @p2601)) % 1.33/1.57 (step @p7259 :rule nary_cong :premises (@p6421 @p6417 @p7258) :args (@t4557)) % 1.33/1.57 (step @p7260 :rule trans :premises (@p7259 @p7255)) % 1.33/1.57 (step @p7261 :rule cong :premises (@p7260) :args ((forall @t4554 @t4557))) % 1.33/1.57 (step @p7262 :rule trans :premises (@p7261 @p7254)) % 1.33/1.57 (step @p7263 :rule quant-var-elim-eq :args ((= (forall @t64 @t4558) @t4557))) % 1.33/1.57 (step @p7264 :rule aci_norm :args ((= @t4559 @t4558))) % 1.33/1.57 (step @p7265 :rule cong :premises (@p7264) :args (@t4560)) % 1.33/1.57 (step @p7266 :rule trans :premises (@p7265 @p7263)) % 1.33/1.57 (step @p7267 :rule cong :premises (@p7266) :args (@t4561)) % 1.33/1.57 (step @p7268 :rule quant-merge-prenex :args ((= @t4561 @t4562))) % 1.33/1.57 (step @p7269 :rule symm :premises (@p7268)) % 1.33/1.57 (step @p7270 :rule quant_var_reordering :args ((= (forall @t245 @t4559) @t4562))) % 1.33/1.57 (step @p7271 :rule trans :premises (@p7270 @p7269 @p7267)) % 1.33/1.57 (step @p7272 :rule trans :premises (@p7271 @p7262)) % 1.33/1.57 (step @p7273 :rule refl :args (@t445)) % 1.33/1.57 (step @p7274 :rule nary_cong :premises (@p910 @p6336 @p7273) :args (@t4563)) % 1.33/1.57 (step @p7275 :rule cong :premises (@p7274) :args ((forall @t245 @t4563))) % 1.33/1.57 (step @p7276 :rule trans :premises (@p7275 @p7272)) % 1.33/1.57 (step @p7277 :rule aci_norm :args ((= (or @t197 (or @t6 @t445)) @t4563))) % 1.33/1.57 (step @p7278 :rule nary_cong :premises (@p6341 @p7273) :args ((or @t4421 @t445))) % 1.33/1.57 (step @p7279 :rule bool-impl-elim :args (@t437 @t445)) % 1.33/1.57 (step @p7280 :rule trans :premises (@p7279 @p7278)) % 1.33/1.57 (step @p7281 :rule nary_cong :premises (@p915 @p7280) :args ((or @t197 @t448))) % 1.33/1.57 (step @p7282 :rule trans :premises (@p7281 @p7277)) % 1.33/1.57 (step @p7283 :rule bool-impl-elim :args (@t7 @t448)) % 1.33/1.57 (step @p7284 :rule trans :premises (@p7283 @p7282)) % 1.33/1.57 (step @p7285 :rule cong :premises (@p7284) :args (@t449)) % 1.33/1.57 (step @p7286 :rule trans :premises (@p7285 @p7276)) % 1.33/1.57 (step @p7287 :rule refl :args (tptp.notequalI2)) % 1.33/1.57 (step @p7288 :rule cong :premises (@p7287 @p7286) :args (@t450)) % 1.33/1.57 (step @p7289 :rule trans :premises (@p7288 @p7249)) % 1.33/1.57 (step @p7290 :rule eq_resolve :premises (@p85 @p7289)) % 1.33/1.57 (step @p7291 :rule eq_resolve :premises (@p7290 @p7250)) % 1.33/1.57 (step @p7292 :rule cong :premises (@p7291 @p7248) :args (@t4564)) % 1.33/1.57 (step @p7293 :rule aci_norm :args ((= (or @t2353 false) @t2353))) % 1.33/1.57 (step @p7294 :rule refl :args (@t2353)) % 1.33/1.57 (step @p7295 :rule nary_cong :premises (@p7294 @p7258) :args (@t4565)) % 1.33/1.57 (step @p7296 :rule trans :premises (@p7295 @p7293)) % 1.33/1.57 (step @p7297 :rule cong :premises (@p7296) :args ((forall @t41 @t4565))) % 1.33/1.57 (step @p7298 :rule quant-var-elim-eq :args ((= (forall @t64 @t4566) @t4565))) % 1.33/1.57 (step @p7299 :rule aci_norm :args ((= @t4567 @t4566))) % 1.33/1.57 (step @p7300 :rule cong :premises (@p7299) :args (@t4568)) % 1.33/1.57 (step @p7301 :rule trans :premises (@p7300 @p7298)) % 1.33/1.57 (step @p7302 :rule cong :premises (@p7301) :args (@t4569)) % 1.33/1.57 (step @p7303 :rule quant-merge-prenex :args ((= @t4569 @t4571))) % 1.33/1.57 (step @p7304 :rule symm :premises (@p7303)) % 1.33/1.57 (step @p7305 :rule quant_var_reordering :args ((= (forall @t12 @t4567) @t4571))) % 1.33/1.57 (step @p7306 :rule trans :premises (@p7305 @p7304 @p7302)) % 1.33/1.57 (step @p7307 :rule trans :premises (@p7306 @p7297)) % 1.33/1.57 (step @p7308 :rule nary_cong :premises (@p6475 @p7273) :args (@t4572)) % 1.33/1.57 (step @p7309 :rule cong :premises (@p7308) :args ((forall @t12 @t4572))) % 1.33/1.57 (step @p7310 :rule trans :premises (@p7309 @p7307)) % 1.33/1.57 (step @p7311 :rule bool-double-not-elim :args (@t422)) % 1.33/1.57 (step @p7312 :rule nary_cong :premises (@p7311 @p7273) :args ((or (not @t441) @t445))) % 1.33/1.57 (step @p7313 :rule bool-impl-elim :args (@t441 @t445)) % 1.33/1.57 (step @p7314 :rule trans :premises (@p7313 @p7312)) % 1.33/1.57 (step @p7315 :rule cong :premises (@p7314) :args (@t446)) % 1.33/1.57 (step @p7316 :rule trans :premises (@p7315 @p7310)) % 1.33/1.57 (step @p7317 :rule refl :args (tptp.notequalI1)) % 1.33/1.57 (step @p7318 :rule cong :premises (@p7317 @p7316) :args (@t447)) % 1.33/1.57 (step @p7319 :rule eq_resolve :premises (@p84 @p7318)) % 1.33/1.57 (step @p7320 :rule cong :premises (@p7319 @p7292) :args (@t4573)) % 1.33/1.57 (step @p7321 :rule nary_cong :premises (@p910 @p6336 @p6583) :args (@t4574)) % 1.33/1.57 (step @p7322 :rule cong :premises (@p7321) :args ((forall @t245 @t4574))) % 1.33/1.57 (step @p7323 :rule aci_norm :args ((= (or @t197 (or @t6 @t441)) @t4574))) % 1.33/1.57 (step @p7324 :rule nary_cong :premises (@p6341 @p7140) :args ((or @t4421 @t441))) % 1.33/1.57 (step @p7325 :rule bool-impl-elim :args (@t437 @t441)) % 1.33/1.57 (step @p7326 :rule trans :premises (@p7325 @p7324)) % 1.33/1.57 (step @p7327 :rule nary_cong :premises (@p915 @p7326) :args ((or @t197 @t442))) % 1.33/1.57 (step @p7328 :rule trans :premises (@p7327 @p7323)) % 1.33/1.57 (step @p7329 :rule bool-impl-elim :args (@t7 @t442)) % 1.33/1.57 (step @p7330 :rule trans :premises (@p7329 @p7328)) % 1.33/1.57 (step @p7331 :rule cong :premises (@p7330) :args (@t443)) % 1.33/1.57 (step @p7332 :rule trans :premises (@p7331 @p7322)) % 1.33/1.57 (step @p7333 :rule refl :args (tptp.notsubsetI)) % 1.33/1.57 (step @p7334 :rule cong :premises (@p7333 @p7332) :args (@t444)) % 1.33/1.57 (step @p7335 :rule eq_resolve :premises (@p83 @p7334)) % 1.33/1.57 (step @p7336 :rule cong :premises (@p7335 @p7320) :args (@t4575)) % 1.33/1.57 (step @p7337 :rule nary_cong :premises (@p6583 @p6336 @p910) :args (@t4576)) % 1.33/1.57 (step @p7338 :rule cong :premises (@p7337) :args ((forall @t245 @t4576))) % 1.33/1.57 (step @p7339 :rule aci_norm :args ((= (or @t441 @t4456) @t4576))) % 1.33/1.57 (step @p7340 :rule nary_cong :premises (@p7140 @p6551) :args ((or @t441 @t438))) % 1.33/1.57 (step @p7341 :rule trans :premises (@p7340 @p7339)) % 1.33/1.57 (step @p7342 :rule bool-impl-elim :args (@t422 @t438)) % 1.33/1.57 (step @p7343 :rule trans :premises (@p7342 @p7341)) % 1.33/1.57 (step @p7344 :rule cong :premises (@p7343) :args (@t439)) % 1.33/1.57 (step @p7345 :rule trans :premises (@p7344 @p7338)) % 1.33/1.57 (step @p7346 :rule refl :args (tptp.subsetE2)) % 1.33/1.57 (step @p7347 :rule cong :premises (@p7346 @p7345) :args (@t440)) % 1.33/1.57 (step @p7348 :rule eq_resolve :premises (@p82 @p7347)) % 1.33/1.57 (step @p7349 :rule cong :premises (@p7348 @p7336) :args (@t4577)) % 1.33/1.57 (step @p7350 :rule nary_cong :premises (@p6583 @p910 @p6336) :args (@t4578)) % 1.33/1.57 (step @p7351 :rule cong :premises (@p7350) :args ((forall @t245 @t4578))) % 1.33/1.57 (step @p7352 :rule aci_norm :args ((= (or @t441 @t4460) @t4578))) % 1.33/1.57 (step @p7353 :rule nary_cong :premises (@p7140 @p6569) :args ((or @t441 @t191))) % 1.33/1.57 (step @p7354 :rule trans :premises (@p7353 @p7352)) % 1.33/1.57 (step @p7355 :rule bool-impl-elim :args (@t422 @t191)) % 1.33/1.57 (step @p7356 :rule trans :premises (@p7355 @p7354)) % 1.33/1.57 (step @p7357 :rule cong :premises (@p7356) :args (@t435)) % 1.33/1.57 (step @p7358 :rule trans :premises (@p7357 @p7351)) % 1.33/1.57 (step @p7359 :rule refl :args (tptp.subsetE)) % 1.33/1.57 (step @p7360 :rule cong :premises (@p7359 @p7358) :args (@t436)) % 1.33/1.57 (step @p7361 :rule eq_resolve :premises (@p81 @p7360)) % 1.33/1.57 (step @p7362 :rule cong :premises (@p7361 @p7349) :args (@t4579)) % 1.33/1.57 (step @p7363 :rule refl :args (@t2358)) % 1.33/1.57 (step @p7364 :rule refl :args (@t432)) % 1.33/1.57 (step @p7365 :rule cong :premises (@p7364 @p7363) :args ((= @t432 @t2358))) % 1.33/1.57 (step @p7366 :rule symm :premises (@p7365)) % 1.33/1.57 (step @p7367 :rule eq_resolve :premises (@p7364 @p7366)) % 1.33/1.57 (step @p7368 :rule cong :premises (@p7367) :args (@t433)) % 1.33/1.57 (step @p7369 :rule refl :args (tptp.emptysetsubset)) % 1.33/1.57 (step @p7370 :rule cong :premises (@p7369 @p7368) :args (@t434)) % 1.33/1.57 (step @p7371 :rule eq_resolve :premises (@p80 @p7370)) % 1.33/1.57 (step @p7372 :rule cong :premises (@p7371 @p7362) :args (@t4580)) % 1.33/1.57 (step @p7373 :rule eq-symm :args (@t2362 tptp.subsetI2)) % 1.33/1.57 (step @p7374 :rule refl :args (tptp.subsetI2)) % 1.33/1.57 (step @p7375 :rule refl :args (@t2361)) % 1.33/1.57 (step @p7376 :rule nary_cong :premises (@p7375 @p6475) :args (@t4581)) % 1.33/1.57 (step @p7377 :rule cong :premises (@p7376) :args ((forall @t12 @t4581))) % 1.33/1.57 (step @p7378 :rule bool-impl-elim :args (@t2360 @t422)) % 1.33/1.57 (step @p7379 :rule cong :premises (@p7378) :args ((forall @t12 (=> @t2360 @t422)))) % 1.33/1.57 (step @p7380 :rule trans :premises (@p7379 @p7377)) % 1.33/1.57 (step @p7381 :rule nary_cong :premises (@p910 @p6336) :args (@t4460)) % 1.33/1.57 (step @p7382 :rule cong :premises (@p7381) :args ((forall @t9 @t4460))) % 1.33/1.57 (step @p7383 :rule cong :premises (@p6569) :args (@t192)) % 1.33/1.57 (step @p7384 :rule trans :premises (@p7383 @p7382)) % 1.33/1.57 (step @p7385 :rule cong :premises (@p7384 @p6488) :args (@t423)) % 1.33/1.57 (step @p7386 :rule cong :premises (@p7385) :args (@t424)) % 1.33/1.57 (step @p7387 :rule trans :premises (@p7386 @p7380)) % 1.33/1.57 (step @p7388 :rule cong :premises (@p7387 @p7374) :args ((= @t424 tptp.subsetI2))) % 1.33/1.57 (step @p7389 :rule trans :premises (@p7388 @p7373)) % 1.33/1.57 (step @p7390 :rule eq-symm :args (tptp.subsetI2 @t424)) % 1.33/1.57 (step @p7391 :rule trans :premises (@p7390 @p7389)) % 1.33/1.57 (step @p7392 :rule eq_resolve :premises (@p79 @p7391)) % 1.33/1.57 (step @p7393 :rule cong :premises (@p7392 @p7372) :args (@t4582)) % 1.33/1.57 (step @p7394 :rule aci_norm :args ((= (or false @t2353) @t2353))) % 1.33/1.57 (step @p7395 :rule nary_cong :premises (@p7258 @p7294) :args (@t4583)) % 1.33/1.57 (step @p7396 :rule trans :premises (@p7395 @p7394)) % 1.33/1.57 (step @p7397 :rule cong :premises (@p7396) :args ((forall @t41 @t4583))) % 1.33/1.57 (step @p7398 :rule quant-var-elim-eq :args ((= (forall @t64 @t4584) @t4583))) % 1.33/1.57 (step @p7399 :rule aci_norm :args ((= @t4585 @t4584))) % 1.33/1.57 (step @p7400 :rule cong :premises (@p7399) :args (@t4586)) % 1.33/1.57 (step @p7401 :rule trans :premises (@p7400 @p7398)) % 1.33/1.57 (step @p7402 :rule cong :premises (@p7401) :args (@t4587)) % 1.33/1.57 (step @p7403 :rule quant-merge-prenex :args ((= @t4587 @t4588))) % 1.33/1.57 (step @p7404 :rule symm :premises (@p7403)) % 1.33/1.57 (step @p7405 :rule quant_var_reordering :args ((= (forall @t12 @t4585) @t4588))) % 1.33/1.57 (step @p7406 :rule trans :premises (@p7405 @p7404 @p7402)) % 1.33/1.57 (step @p7407 :rule trans :premises (@p7406 @p7397)) % 1.33/1.57 (step @p7408 :rule nary_cong :premises (@p7273 @p6475) :args (@t4589)) % 1.33/1.57 (step @p7409 :rule cong :premises (@p7408) :args ((forall @t12 @t4589))) % 1.33/1.57 (step @p7410 :rule trans :premises (@p7409 @p7407)) % 1.33/1.57 (step @p7411 :rule bool-impl-elim :args (@t3 @t422)) % 1.33/1.57 (step @p7412 :rule cong :premises (@p7411) :args (@t430)) % 1.33/1.57 (step @p7413 :rule trans :premises (@p7412 @p7410)) % 1.33/1.57 (step @p7414 :rule refl :args (tptp.eqimpsubset1)) % 1.33/1.57 (step @p7415 :rule cong :premises (@p7414 @p7413) :args (@t431)) % 1.33/1.57 (step @p7416 :rule eq_resolve :premises (@p78 @p7415)) % 1.33/1.57 (step @p7417 :rule cong :premises (@p7416 @p7393) :args (@t4590)) % 1.33/1.57 (step @p7418 :rule quant-var-elim-eq :args ((= (forall @t64 @t4591) @t4583))) % 1.33/1.57 (step @p7419 :rule aci_norm :args ((= @t4592 @t4591))) % 1.33/1.57 (step @p7420 :rule cong :premises (@p7419) :args (@t4593)) % 1.33/1.57 (step @p7421 :rule trans :premises (@p7420 @p7418)) % 1.33/1.57 (step @p7422 :rule cong :premises (@p7421) :args (@t4594)) % 1.33/1.57 (step @p7423 :rule quant-merge-prenex :args ((= @t4594 @t4595))) % 1.33/1.57 (step @p7424 :rule symm :premises (@p7423)) % 1.33/1.57 (step @p7425 :rule quant_var_reordering :args ((= (forall @t12 @t4592) @t4595))) % 1.33/1.57 (step @p7426 :rule trans :premises (@p7425 @p7424 @p7422)) % 1.33/1.57 (step @p7427 :rule trans :premises (@p7426 @p7397)) % 1.33/1.57 (step @p7428 :rule nary_cong :premises (@p7273 @p6695) :args (@t4596)) % 1.33/1.57 (step @p7429 :rule cong :premises (@p7428) :args ((forall @t12 @t4596))) % 1.33/1.57 (step @p7430 :rule trans :premises (@p7429 @p7427)) % 1.33/1.57 (step @p7431 :rule bool-impl-elim :args (@t3 @t427)) % 1.33/1.57 (step @p7432 :rule cong :premises (@p7431) :args (@t428)) % 1.33/1.57 (step @p7433 :rule trans :premises (@p7432 @p7430)) % 1.33/1.57 (step @p7434 :rule refl :args (tptp.eqimpsubset2)) % 1.33/1.57 (step @p7435 :rule cong :premises (@p7434 @p7433) :args (@t429)) % 1.33/1.57 (step @p7436 :rule eq_resolve :premises (@p77 @p7435)) % 1.33/1.57 (step @p7437 :rule cong :premises (@p7436 @p7417) :args (@t4597)) % 1.33/1.57 (step @p7438 :rule refl :args (tptp.subsetI1)) % 1.33/1.57 (step @p7439 :rule cong :premises (@p7438 @p7387) :args (@t425)) % 1.33/1.57 (step @p7440 :rule eq_resolve :premises (@p76 @p7439)) % 1.33/1.57 (step @p7441 :rule cong :premises (@p7440 @p7437) :args (@t4598)) % 1.33/1.57 (step @p7442 :rule aci_norm :args ((= (or false @t2370 @t2367) @t2371))) % 1.33/1.57 (step @p7443 :rule eq-symm :args (@t2364 @t2366)) % 1.33/1.57 (step @p7444 :rule aci_norm :args ((= @t4599 @t2369))) % 1.33/1.57 (step @p7445 :rule cong :premises (@p7444) :args (@t4600)) % 1.33/1.57 (step @p7446 :rule cong :premises (@p7445) :args (@t4601)) % 1.33/1.57 (step @p7447 :rule nary_cong :premises (@p7258 @p7446 @p7443) :args (@t4602)) % 1.33/1.57 (step @p7448 :rule trans :premises (@p7447 @p7442)) % 1.33/1.57 (step @p7449 :rule cong :premises (@p7448) :args ((forall @t2372 @t4602))) % 1.33/1.57 (step @p7450 :rule quant-var-elim-eq :args ((= (forall @t64 @t4605) @t4602))) % 1.33/1.57 (step @p7451 :rule aci_norm :args ((= @t4606 @t4605))) % 1.33/1.57 (step @p7452 :rule cong :premises (@p7451) :args (@t4607)) % 1.33/1.57 (step @p7453 :rule trans :premises (@p7452 @p7450)) % 1.33/1.57 (step @p7454 :rule cong :premises (@p7453) :args (@t4608)) % 1.33/1.57 (step @p7455 :rule quant-merge-prenex :args ((= @t4608 @t4609))) % 1.33/1.57 (step @p7456 :rule symm :premises (@p7455)) % 1.33/1.57 (step @p7457 :rule quant_var_reordering :args ((= (forall @t4610 @t4606) @t4609))) % 1.33/1.57 (step @p7458 :rule trans :premises (@p7457 @p7456 @p7454)) % 1.33/1.57 (step @p7459 :rule trans :premises (@p7458 @p7449)) % 1.33/1.57 (step @p7460 :rule aci_norm :args ((= @t4612 @t4606))) % 1.33/1.57 (step @p7461 :rule cong :premises (@p7460) :args (@t4613)) % 1.33/1.57 (step @p7462 :rule trans :premises (@p7461 @p7459)) % 1.33/1.57 (step @p7463 :rule quant-merge-prenex :args ((= (forall @t12 @t4615) @t4613))) % 1.33/1.57 (step @p7464 :rule alpha_equiv :args (@t4616 (@list @t2363 @t2365) (@list @t143 @t368))) % 1.33/1.57 (step @p7465 :rule nary_cong :premises (@p7273 @p7464) :args (@t4617)) % 1.33/1.57 (step @p7466 :rule quant-miniscope-or :args ((= @t4615 @t4617))) % 1.33/1.57 (step @p7467 :rule trans :premises (@p7466 @p7465)) % 1.33/1.57 (step @p7468 :rule symm :premises (@p7467)) % 1.33/1.57 (step @p7469 :rule cong :premises (@p7468) :args ((forall @t12 (or @t445 @t4621)))) % 1.33/1.57 (step @p7470 :rule trans :premises (@p7469 @p7463)) % 1.33/1.57 (step @p7471 :rule trans :premises (@p7470 @p7462)) % 1.33/1.57 (step @p7472 :rule bool-impl-elim :args (@t3 @t4621)) % 1.33/1.57 (step @p7473 :rule cong :premises (@p7472) :args ((forall @t12 (=> @t3 @t4621)))) % 1.33/1.57 (step @p7474 :rule trans :premises (@p7473 @p7471)) % 1.33/1.57 (step @p7475 :rule lambda-elim :args ((= @t4622 @t368))) % 1.33/1.57 (step @p7476 :rule cong :premises (@p3299 @p7475) :args (@t4623)) % 1.33/1.57 (step @p7477 :rule cong :premises (@p4124 @p7476) :args (@t4624)) % 1.33/1.57 (step @p7478 :rule refl :args (@t4620)) % 1.33/1.57 (step @p7479 :rule nary_cong :premises (@p7478 @p7477) :args (@t4625)) % 1.33/1.57 (step @p7480 :rule cong :premises (@p7479) :args ((forall @t378 @t4625))) % 1.33/1.57 (step @p7481 :rule refl :args ((tptp.dsetconstr @t1 @t370))) % 1.33/1.57 (step @p7482 :rule refl :args (@t2397)) % 1.33/1.57 (step @p7483 :rule cong :premises (@p7482) :args (@t4622)) % 1.33/1.57 (step @p7484 :rule cong :premises (@p3232 @p7483) :args (@t4623)) % 1.33/1.57 (step @p7485 :rule trans :premises (@p7484 @p7481)) % 1.33/1.57 (step @p7486 :rule ho_cong :premises (@p4592 @p7483)) % 1.33/1.57 (step @p7487 :rule cong :premises (@p7486 @p7485) :args ((= (_ @t410 @t4622) @t4623))) % 1.33/1.57 (step @p7488 :rule symm :premises (@p7487)) % 1.33/1.57 (step @p7489 :rule refl :args (@t411)) % 1.33/1.57 (step @p7490 :rule eq_resolve :premises (@p7489 @p7488)) % 1.33/1.57 (step @p7491 :rule refl :args (@t369)) % 1.33/1.57 (step @p7492 :rule cong :premises (@p7491 @p7482) :args ((= @t369 @t2397))) % 1.33/1.57 (step @p7493 :rule symm :premises (@p7492)) % 1.33/1.57 (step @p7494 :rule eq_resolve :premises (@p7491 @p7493)) % 1.33/1.57 (step @p7495 :rule cong :premises (@p7494) :args (@t370)) % 1.33/1.57 (step @p7496 :rule ho_cong :premises (@p4592 @p7495)) % 1.33/1.57 (step @p7497 :rule trans :premises (@p7496 @p7490)) % 1.33/1.57 (step @p7498 :rule cong :premises (@p4156 @p7497) :args (@t412)) % 1.33/1.57 (step @p7499 :rule refl :args (@t4620)) % 1.33/1.57 (step @p7500 :rule nary_cong :premises (@p7499 @p7498) :args (@t4626)) % 1.33/1.57 (step @p7501 :rule cong :premises (@p7500) :args ((forall @t378 @t4626))) % 1.33/1.57 (step @p7502 :rule trans :premises (@p7501 @p7480)) % 1.33/1.57 (step @p7503 :rule bool-impl-elim :args (@t4619 @t412)) % 1.33/1.57 (step @p7504 :rule cong :premises (@p7503) :args ((forall @t378 (=> @t4619 @t412)))) % 1.33/1.57 (step @p7505 :rule trans :premises (@p7504 @p7502)) % 1.33/1.57 (step @p7506 :rule refl :args (@t412)) % 1.33/1.57 (step @p7507 :rule refl :args (@t4618)) % 1.33/1.57 (step @p7508 :rule refl :args (@t2263)) % 1.33/1.57 (step @p7509 :rule nary_cong :premises (@p910 @p7508 @p7507) :args (@t4627)) % 1.33/1.57 (step @p7510 :rule cong :premises (@p7509) :args ((forall @t9 @t4627))) % 1.33/1.57 (step @p7511 :rule aci_norm :args ((= (or @t197 @t4628) @t4627))) % 1.33/1.57 (step @p7512 :rule bool-impl-elim :args (@t7 @t4628)) % 1.33/1.57 (step @p7513 :rule trans :premises (@p7512 @p7511)) % 1.33/1.57 (step @p7514 :rule cong :premises (@p7513) :args ((forall @t9 (=> @t7 @t4628)))) % 1.33/1.57 (step @p7515 :rule trans :premises (@p7514 @p7510)) % 1.33/1.57 (step @p7516 :rule aci_norm :args ((= (or @t2263 false @t4618) @t4628))) % 1.33/1.57 (step @p7517 :rule refl :args (@t4618)) % 1.33/1.57 (step @p7518 :rule eq-refl :args (@t4)) % 1.33/1.57 (step @p7519 :rule cong :premises (@p7518) :args (@t4629)) % 1.33/1.57 (step @p7520 :rule trans :premises (@p7519 @p2601)) % 1.33/1.57 (step @p7521 :rule nary_cong :premises (@p6421 @p7520 @p7517) :args (@t4630)) % 1.33/1.57 (step @p7522 :rule trans :premises (@p7521 @p7516)) % 1.33/1.57 (step @p7523 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not @t22) @t3790 @t282 @t4631)) @t4630))) % 1.33/1.57 (step @p7524 :rule refl :args (@t4631)) % 1.33/1.57 (step @p7525 :rule refl :args (@t3790)) % 1.33/1.57 (step @p7526 :rule eq-symm :args (@t4 @t19)) % 1.33/1.57 (step @p7527 :rule cong :premises (@p7526) :args (@t282)) % 1.33/1.57 (step @p7528 :rule nary_cong :premises (@p7527 @p7525 @p5327 @p7524) :args (@t4632)) % 1.33/1.57 (step @p7529 :rule aci_norm :args ((= @t4633 @t4632))) % 1.33/1.57 (step @p7530 :rule trans :premises (@p7529 @p7528)) % 1.33/1.57 (step @p7531 :rule cong :premises (@p7530) :args ((forall @t70 @t4633))) % 1.33/1.57 (step @p7532 :rule trans :premises (@p7531 @p7523)) % 1.33/1.57 (step @p7533 :rule trans :premises (@p7532 @p7522)) % 1.33/1.57 (step @p7534 :rule refl :args (@t2375)) % 1.33/1.57 (step @p7535 :rule refl :args (@t373)) % 1.33/1.57 (step @p7536 :rule cong :premises (@p7535 @p7534) :args ((= @t373 @t2375))) % 1.33/1.57 (step @p7537 :rule symm :premises (@p7536)) % 1.33/1.57 (step @p7538 :rule eq_resolve :premises (@p7535 @p7537)) % 1.33/1.57 (step @p7539 :rule cong :premises (@p4153 @p7538) :args (@t374)) % 1.33/1.57 (step @p7540 :rule nary_cong :premises (@p3686 @p5327 @p7539) :args (@t4634)) % 1.33/1.57 (step @p7541 :rule cong :premises (@p7540) :args ((forall @t70 @t4634))) % 1.33/1.57 (step @p7542 :rule trans :premises (@p7541 @p7533)) % 1.33/1.57 (step @p7543 :rule aci_norm :args ((= (or @t3795 @t4635) @t4634))) % 1.33/1.57 (step @p7544 :rule bool-impl-elim :args (@t129 @t374)) % 1.33/1.57 (step @p7545 :rule nary_cong :premises (@p3691 @p7544) :args ((or @t3795 @t375))) % 1.33/1.57 (step @p7546 :rule trans :premises (@p7545 @p7543)) % 1.33/1.57 (step @p7547 :rule bool-impl-elim :args (@t354 @t375)) % 1.33/1.57 (step @p7548 :rule trans :premises (@p7547 @p7546)) % 1.33/1.57 (step @p7549 :rule cong :premises (@p7548) :args (@t413)) % 1.33/1.57 (step @p7550 :rule trans :premises (@p7549 @p7542)) % 1.33/1.57 (step @p7551 :rule cong :premises (@p2509 @p7550) :args (@t414)) % 1.33/1.57 (step @p7552 :rule cong :premises (@p7551) :args (@t415)) % 1.33/1.57 (step @p7553 :rule trans :premises (@p7552 @p7515)) % 1.33/1.57 (step @p7554 :rule cong :premises (@p7553 @p7506) :args (@t416)) % 1.33/1.57 (step @p7555 :rule cong :premises (@p7554) :args (@t417)) % 1.33/1.57 (step @p7556 :rule trans :premises (@p7555 @p7505)) % 1.33/1.57 (step @p7557 :rule refl :args (@t3)) % 1.33/1.57 (step @p7558 :rule cong :premises (@p7557 @p7556) :args (@t418)) % 1.33/1.57 (step @p7559 :rule cong :premises (@p7558) :args (@t419)) % 1.33/1.57 (step @p7560 :rule trans :premises (@p7559 @p7474)) % 1.33/1.57 (step @p7561 :rule refl :args (tptp.dsetconstr__Cong)) % 1.33/1.57 (step @p7562 :rule cong :premises (@p7561 @p7560) :args (@t420)) % 1.33/1.57 (step @p7563 :rule eq_resolve :premises (@p75 @p7562)) % 1.33/1.57 (step @p7564 :rule cong :premises (@p7563 @p7441) :args (@t4636)) % 1.33/1.57 (step @p7565 :rule eq-symm :args (@t2374 @t19)) % 1.33/1.57 (step @p7566 :rule refl :args (@t2376)) % 1.33/1.57 (step @p7567 :rule nary_cong :premises (@p7566 @p7565) :args (@t4637)) % 1.33/1.57 (step @p7568 :rule cong :premises (@p7567) :args (@t4638)) % 1.33/1.57 (step @p7569 :rule cong :premises (@p7568) :args (@t4639)) % 1.33/1.57 (step @p7570 :rule refl :args (@t2377)) % 1.33/1.57 (step @p7571 :rule eq-symm :args (@t2378 @t19)) % 1.33/1.57 (step @p7572 :rule refl :args (@t2168)) % 1.33/1.57 (step @p7573 :rule nary_cong :premises (@p7572 @p7571) :args (@t4640)) % 1.33/1.57 (step @p7574 :rule cong :premises (@p7573) :args (@t4641)) % 1.33/1.57 (step @p7575 :rule cong :premises (@p7574) :args (@t4642)) % 1.33/1.57 (step @p7576 :rule refl :args (@t2379)) % 1.33/1.57 (step @p7577 :rule refl :args (@t2381)) % 1.33/1.57 (step @p7578 :rule refl :args (@t2384)) % 1.33/1.57 (step @p7579 :rule nary_cong :premises (@p7578 @p7577 @p7576 @p7575 @p7570 @p7569) :args (@t4643)) % 1.33/1.57 (step @p7580 :rule aci_norm :args ((= @t4646 @t4643))) % 1.33/1.57 (step @p7581 :rule trans :premises (@p7580 @p7579)) % 1.33/1.57 (step @p7582 :rule cong :premises (@p7581) :args (@t4647)) % 1.33/1.57 (step @p7583 :rule quant-merge-prenex :args ((= (forall @t378 @t4648) @t4647))) % 1.33/1.57 (step @p7584 :rule refl :args (@t2381)) % 1.33/1.57 (step @p7585 :rule alpha_equiv :args (@t4649 (@list @t2374) @t2902)) % 1.33/1.57 (step @p7586 :rule alpha_equiv :args (@t4650 (@list @t2378) @t2902)) % 1.33/1.57 (step @p7587 :rule refl :args (@t2384)) % 1.33/1.57 (step @p7588 :rule nary_cong :premises (@p7587 @p7586 @p7585 @p7584) :args (@t4651)) % 1.33/1.57 (step @p7589 :rule quant-miniscope-or :args ((= @t4648 @t4651))) % 1.33/1.57 (step @p7590 :rule trans :premises (@p7589 @p7588)) % 1.33/1.57 (step @p7591 :rule symm :premises (@p7590)) % 1.33/1.57 (step @p7592 :rule cong :premises (@p7591) :args ((forall @t378 (or @t2384 @t2402 @t2398 @t2381)))) % 1.33/1.57 (step @p7593 :rule trans :premises (@p7592 @p7583)) % 1.33/1.57 (step @p7594 :rule trans :premises (@p7593 @p7582)) % 1.33/1.57 (step @p7595 :rule cong :premises (@p7475) :args (@t4652)) % 1.33/1.57 (step @p7596 :rule cong :premises (@p4123) :args (@t4653)) % 1.33/1.57 (step @p7597 :rule cong :premises (@p7596 @p7595) :args (@t4654)) % 1.33/1.57 (step @p7598 :rule refl :args (@t2398)) % 1.33/1.57 (step @p7599 :rule refl :args (@t2402)) % 1.33/1.57 (step @p7600 :rule nary_cong :premises (@p7578 @p7599 @p7598 @p7597) :args (@t4655)) % 1.33/1.57 (step @p7601 :rule cong :premises (@p7600) :args ((forall @t378 @t4655))) % 1.33/1.57 (step @p7602 :rule trans :premises (@p7601 @p7594)) % 1.33/1.57 (step @p7603 :rule refl :args ((tptp.descr @t370))) % 1.33/1.57 (step @p7604 :rule cong :premises (@p7483) :args (@t4652)) % 1.33/1.57 (step @p7605 :rule trans :premises (@p7604 @p7603)) % 1.33/1.57 (step @p7606 :rule refl :args (tptp.descr)) % 1.33/1.57 (step @p7607 :rule ho_cong :premises (@p7606 @p7483)) % 1.33/1.57 (step @p7608 :rule cong :premises (@p7607 @p7605) :args ((= (_ tptp.descr @t4622) @t4652))) % 1.33/1.57 (step @p7609 :rule symm :premises (@p7608)) % 1.33/1.57 (step @p7610 :rule refl :args (@t403)) % 1.33/1.57 (step @p7611 :rule eq_resolve :premises (@p7610 @p7609)) % 1.33/1.57 (step @p7612 :rule ho_cong :premises (@p7606 @p7495)) % 1.33/1.57 (step @p7613 :rule trans :premises (@p7612 @p7611)) % 1.33/1.57 (step @p7614 :rule refl :args ((tptp.descr @t145))) % 1.33/1.57 (step @p7615 :rule cong :premises (@p4134) :args (@t4653)) % 1.33/1.57 (step @p7616 :rule trans :premises (@p7615 @p7614)) % 1.33/1.57 (step @p7617 :rule ho_cong :premises (@p7606 @p4134)) % 1.33/1.57 (step @p7618 :rule cong :premises (@p7617 @p7616) :args ((= (_ tptp.descr @t3958) @t4653))) % 1.33/1.57 (step @p7619 :rule symm :premises (@p7618)) % 1.33/1.57 (step @p7620 :rule refl :args (@t146)) % 1.33/1.57 (step @p7621 :rule eq_resolve :premises (@p7620 @p7619)) % 1.33/1.57 (step @p7622 :rule ho_cong :premises (@p7606 @p4154)) % 1.33/1.57 (step @p7623 :rule trans :premises (@p7622 @p7621)) % 1.33/1.57 (step @p7624 :rule cong :premises (@p7623 @p7613) :args (@t404)) % 1.33/1.57 (step @p7625 :rule refl :args (@t2398)) % 1.33/1.57 (step @p7626 :rule refl :args (@t2402)) % 1.33/1.57 (step @p7627 :rule nary_cong :premises (@p7587 @p7626 @p7625 @p7624) :args (@t4656)) % 1.33/1.57 (step @p7628 :rule cong :premises (@p7627) :args ((forall @t378 @t4656))) % 1.33/1.57 (step @p7629 :rule trans :premises (@p7628 @p7602)) % 1.33/1.57 (step @p7630 :rule aci_norm :args ((= (or @t2384 @t4657) @t4656))) % 1.33/1.57 (step @p7631 :rule aci_norm :args ((= (or @t2402 (or @t2398 @t404)) @t4657))) % 1.33/1.57 (step @p7632 :rule refl :args (@t404)) % 1.33/1.57 (step @p7633 :rule bool-double-not-elim :args (@t2398)) % 1.33/1.57 (step @p7634 :rule nary_cong :premises (@p7633 @p7632) :args ((or (not @t2399) @t404))) % 1.33/1.57 (step @p7635 :rule bool-impl-elim :args (@t2399 @t404)) % 1.33/1.57 (step @p7636 :rule trans :premises (@p7635 @p7634)) % 1.33/1.57 (step @p7637 :rule nary_cong :premises (@p7626 @p7636) :args ((or @t2402 @t4658))) % 1.33/1.57 (step @p7638 :rule trans :premises (@p7637 @p7631)) % 1.33/1.57 (step @p7639 :rule refl :args (@t4658)) % 1.33/1.57 (step @p7640 :rule bool-double-not-elim :args (@t2402)) % 1.33/1.57 (step @p7641 :rule nary_cong :premises (@p7640 @p7639) :args ((or @t4659 @t4658))) % 1.33/1.57 (step @p7642 :rule bool-impl-elim :args (@t2403 @t4658)) % 1.33/1.57 (step @p7643 :rule trans :premises (@p7642 @p7641)) % 1.33/1.57 (step @p7644 :rule trans :premises (@p7643 @p7638)) % 1.33/1.57 (step @p7645 :rule nary_cong :premises (@p7587 @p7644) :args ((or @t2384 @t4660))) % 1.33/1.57 (step @p7646 :rule trans :premises (@p7645 @p7630)) % 1.33/1.57 (step @p7647 :rule bool-impl-elim :args (@t2383 @t4660)) % 1.33/1.57 (step @p7648 :rule trans :premises (@p7647 @p7646)) % 1.33/1.57 (step @p7649 :rule cong :premises (@p7648) :args ((forall @t378 (=> @t2383 @t4660)))) % 1.33/1.57 (step @p7650 :rule trans :premises (@p7649 @p7629)) % 1.33/1.57 (step @p7651 :rule refl :args (@t404)) % 1.33/1.57 (step @p7652 :rule refl :args (@t2396)) % 1.33/1.57 (step @p7653 :rule cong :premises (@p7494) :args (@t4661)) % 1.33/1.57 (step @p7654 :rule nary_cong :premises (@p7653 @p7652) :args (@t4662)) % 1.33/1.57 (step @p7655 :rule cong :premises (@p7654) :args ((forall @t9 @t4662))) % 1.33/1.57 (step @p7656 :rule cong :premises (@p7538) :args (@t4663)) % 1.33/1.57 (step @p7657 :rule nary_cong :premises (@p7656 @p4188) :args (@t4664)) % 1.33/1.57 (step @p7658 :rule cong :premises (@p7657) :args ((forall @t70 @t4664))) % 1.33/1.57 (step @p7659 :rule beta-reduce :args ((= @t4665 @t373))) % 1.33/1.57 (step @p7660 :rule cong :premises (@p7659) :args (@t4666)) % 1.33/1.57 (step @p7661 :rule nary_cong :premises (@p7660 @p5361) :args (@t4667)) % 1.33/1.57 (step @p7662 :rule cong :premises (@p7661) :args (@t4668)) % 1.33/1.57 (step @p7663 :rule trans :premises (@p7662 @p7658)) % 1.33/1.57 (step @p7664 :rule cong :premises (@p7663) :args (@t4669)) % 1.33/1.57 (step @p7665 :rule beta-reduce :args ((= @t4670 @t369))) % 1.33/1.57 (step @p7666 :rule cong :premises (@p7665) :args (@t4671)) % 1.33/1.57 (step @p7667 :rule nary_cong :premises (@p7666 @p7664) :args (@t4672)) % 1.33/1.57 (step @p7668 :rule cong :premises (@p7667) :args (@t4673)) % 1.33/1.57 (step @p7669 :rule trans :premises (@p7668 @p7655)) % 1.33/1.57 (step @p7670 :rule cong :premises (@p7669) :args (@t4674)) % 1.33/1.57 (step @p7671 :rule beta-reduce :args ((= @t4676 @t4674))) % 1.33/1.57 (step @p7672 :rule trans :premises (@p7671 @p7670)) % 1.33/1.57 (step @p7673 :rule cong :premises (@p7672 @p7651) :args (@t4677)) % 1.33/1.57 (step @p7674 :rule refl :args (@t2401)) % 1.33/1.57 (step @p7675 :rule nary_cong :premises (@p4179 @p7674) :args (@t4678)) % 1.33/1.57 (step @p7676 :rule cong :premises (@p7675) :args ((forall @t9 @t4678))) % 1.33/1.57 (step @p7677 :rule nary_cong :premises (@p4194 @p4188) :args (@t3981)) % 1.33/1.57 (step @p7678 :rule cong :premises (@p7677) :args ((forall @t70 @t3981))) % 1.33/1.57 (step @p7679 :rule beta-reduce :args ((= @t4679 @t153))) % 1.33/1.57 (step @p7680 :rule cong :premises (@p7679) :args (@t4680)) % 1.33/1.57 (step @p7681 :rule nary_cong :premises (@p7680 @p5361) :args (@t4681)) % 1.33/1.57 (step @p7682 :rule cong :premises (@p7681) :args (@t4682)) % 1.33/1.57 (step @p7683 :rule trans :premises (@p7682 @p7678)) % 1.33/1.57 (step @p7684 :rule cong :premises (@p7683) :args (@t4683)) % 1.33/1.57 (step @p7685 :rule beta-reduce :args ((= @t4684 @t144))) % 1.33/1.57 (step @p7686 :rule cong :premises (@p7685) :args (@t4685)) % 1.33/1.57 (step @p7687 :rule nary_cong :premises (@p7686 @p7684) :args (@t4686)) % 1.33/1.57 (step @p7688 :rule cong :premises (@p7687) :args (@t4687)) % 1.33/1.57 (step @p7689 :rule trans :premises (@p7688 @p7676)) % 1.33/1.57 (step @p7690 :rule cong :premises (@p7689) :args (@t4688)) % 1.33/1.57 (step @p7691 :rule beta-reduce :args ((= @t4689 @t4688))) % 1.33/1.57 (step @p7692 :rule trans :premises (@p7691 @p7690)) % 1.33/1.57 (step @p7693 :rule cong :premises (@p7692 @p7673) :args (@t4690)) % 1.33/1.57 (step @p7694 :rule aci_norm :args ((= (or false @t2382) @t2382))) % 1.33/1.57 (step @p7695 :rule refl :args (@t2382)) % 1.33/1.57 (step @p7696 :rule nary_cong :premises (@p5302 @p7695) :args (@t4691)) % 1.33/1.57 (step @p7697 :rule trans :premises (@p7696 @p7694)) % 1.33/1.57 (step @p7698 :rule cong :premises (@p7697) :args ((forall @t70 @t4691))) % 1.33/1.57 (step @p7699 :rule quant-var-elim-eq :args ((= (forall @t9 @t4692) @t4691))) % 1.33/1.57 (step @p7700 :rule aci_norm :args ((= @t4693 @t4692))) % 1.33/1.57 (step @p7701 :rule cong :premises (@p7700) :args (@t4694)) % 1.33/1.57 (step @p7702 :rule trans :premises (@p7701 @p7699)) % 1.33/1.57 (step @p7703 :rule cong :premises (@p7702) :args (@t4695)) % 1.33/1.57 (step @p7704 :rule quant-merge-prenex :args ((= @t4695 @t4696))) % 1.33/1.57 (step @p7705 :rule symm :premises (@p7704)) % 1.33/1.57 (step @p7706 :rule quant_var_reordering :args ((= (forall @t135 @t4693) @t4696))) % 1.33/1.57 (step @p7707 :rule trans :premises (@p7706 @p7705 @p7703)) % 1.33/1.57 (step @p7708 :rule trans :premises (@p7707 @p7698)) % 1.33/1.57 (step @p7709 :rule nary_cong :premises (@p5327 @p7539) :args (@t4635)) % 1.33/1.57 (step @p7710 :rule cong :premises (@p7709) :args ((forall @t135 @t4635))) % 1.33/1.57 (step @p7711 :rule trans :premises (@p7710 @p7708)) % 1.33/1.57 (step @p7712 :rule cong :premises (@p7544) :args (@t376)) % 1.33/1.57 (step @p7713 :rule trans :premises (@p7712 @p7711)) % 1.33/1.57 (step @p7714 :rule cong :premises (@p7713 @p7693) :args (@t4697)) % 1.33/1.57 (step @p7715 :rule cong :premises (@p7714) :args (@t4698)) % 1.33/1.57 (step @p7716 :rule trans :premises (@p7715 @p7650)) % 1.33/1.57 (step @p7717 :rule refl :args (tptp.descr__Cong)) % 1.33/1.57 (step @p7718 :rule cong :premises (@p7717 @p7716) :args ((= tptp.descr__Cong @t4698))) % 1.33/1.57 (step @p7719 :rule refl :args (@t370)) % 1.33/1.57 (step @p7720 :rule bool-and-de-morgan :args (@t144 @t2400 true)) % 1.33/1.57 (step @p7721 :rule cong :premises (@p7720) :args (@t4700)) % 1.33/1.57 (step @p7722 :rule trans :premises (@p7721 @p7676)) % 1.33/1.57 (step @p7723 :rule cong :premises (@p7722) :args (@t4701)) % 1.33/1.57 (step @p7724 :rule exists-elim :args ((= (exists @t9 @t4699) @t4701))) % 1.33/1.57 (step @p7725 :rule trans :premises (@p7724 @p7723)) % 1.33/1.57 (step @p7726 :rule cong :premises (@p4206) :args (@t167)) % 1.33/1.57 (step @p7727 :rule trans :premises (@p7726 @p7678)) % 1.33/1.57 (step @p7728 :rule nary_cong :premises (@p5654 @p7727) :args (@t168)) % 1.33/1.57 (step @p7729 :rule cong :premises (@p7728) :args (@t169)) % 1.33/1.57 (step @p7730 :rule trans :premises (@p7729 @p7725)) % 1.33/1.57 (step @p7731 :rule cong :premises (@p7730) :args (@t1621)) % 1.33/1.57 (step @p7732 :rule trans :premises (@p260 @p7731)) % 1.33/1.57 (step @p7733 :rule ho_cong :premises (@p7732 @p7719)) % 1.33/1.57 (step @p7734 :rule cong :premises (@p7733 @p7651) :args (@t405)) % 1.33/1.57 (step @p7735 :rule ho_cong :premises (@p7732 @p4227)) % 1.33/1.57 (step @p7736 :rule cong :premises (@p7735 @p7734) :args (@t406)) % 1.33/1.57 (step @p7737 :rule refl :args (@t376)) % 1.33/1.57 (step @p7738 :rule cong :premises (@p7737 @p7736) :args (@t407)) % 1.33/1.57 (step @p7739 :rule cong :premises (@p7738) :args (@t408)) % 1.33/1.57 (step @p7740 :rule cong :premises (@p7717 @p7739) :args (@t409)) % 1.33/1.57 (step @p7741 :rule trans :premises (@p7740 @p7718)) % 1.33/1.57 (step @p7742 :rule eq_resolve :premises (@p74 @p7741)) % 1.33/1.57 (step @p7743 :rule cong :premises (@p7742 @p7564) :args (@t4702)) % 1.33/1.57 (step @p7744 :rule refl :args (@t2389)) % 1.33/1.57 (step @p7745 :rule refl :args (@t2390)) % 1.33/1.57 (step @p7746 :rule refl :args (@t2391)) % 1.33/1.57 (step @p7747 :rule eq-symm :args (@t2392 @t19)) % 1.33/1.57 (step @p7748 :rule nary_cong :premises (@p7572 @p7747) :args (@t4703)) % 1.33/1.57 (step @p7749 :rule cong :premises (@p7748) :args (@t4704)) % 1.33/1.57 (step @p7750 :rule cong :premises (@p7749) :args (@t4705)) % 1.33/1.57 (step @p7751 :rule refl :args (@t2393)) % 1.33/1.57 (step @p7752 :rule nary_cong :premises (@p7751 @p7750 @p7746 @p7745 @p7744) :args (@t4706)) % 1.33/1.57 (step @p7753 :rule aci_norm :args ((= @t4709 @t4706))) % 1.33/1.57 (step @p7754 :rule trans :premises (@p7753 @p7752)) % 1.33/1.57 (step @p7755 :rule cong :premises (@p7754) :args (@t4710)) % 1.33/1.57 (step @p7756 :rule quant-merge-prenex :args ((= (forall @t150 @t4711) @t4710))) % 1.33/1.57 (step @p7757 :rule alpha_equiv :args (@t4712 (@list @t2388 @t2387) (@list @t4 @t19))) % 1.33/1.57 (step @p7758 :rule alpha_equiv :args (@t4713 (@list @t2392) @t2902)) % 1.33/1.57 (step @p7759 :rule nary_cong :premises (@p7758 @p7757) :args (@t4714)) % 1.33/1.57 (step @p7760 :rule quant-miniscope-or :args ((= @t4711 @t4714))) % 1.33/1.57 (step @p7761 :rule trans :premises (@p7760 @p7759)) % 1.33/1.57 (step @p7762 :rule symm :premises (@p7761)) % 1.33/1.57 (step @p7763 :rule cong :premises (@p7762) :args ((forall @t150 (or @t2402 @t2409)))) % 1.33/1.57 (step @p7764 :rule trans :premises (@p7763 @p7756)) % 1.33/1.57 (step @p7765 :rule trans :premises (@p7764 @p7755)) % 1.33/1.57 (step @p7766 :rule refl :args (@t2409)) % 1.33/1.57 (step @p7767 :rule nary_cong :premises (@p7640 @p7766) :args ((or @t4659 @t2409))) % 1.33/1.57 (step @p7768 :rule bool-impl-elim :args (@t2403 @t2409)) % 1.33/1.57 (step @p7769 :rule trans :premises (@p7768 @p7767)) % 1.33/1.57 (step @p7770 :rule cong :premises (@p7769) :args ((forall @t150 (=> @t2403 @t2409)))) % 1.33/1.57 (step @p7771 :rule trans :premises (@p7770 @p7765)) % 1.33/1.57 (step @p7772 :rule nary_cong :premises (@p4179 @p4194 @p4188) :args (@t3980)) % 1.33/1.57 (step @p7773 :rule cong :premises (@p7772) :args ((forall @t135 @t3980))) % 1.33/1.57 (step @p7774 :rule cong :premises (@p4211) :args (@t346)) % 1.33/1.57 (step @p7775 :rule trans :premises (@p7774 @p7773)) % 1.33/1.57 (step @p7776 :rule cong :premises (@p7692 @p7775) :args (@t4715)) % 1.33/1.57 (step @p7777 :rule cong :premises (@p7776) :args (@t4716)) % 1.33/1.57 (step @p7778 :rule trans :premises (@p7777 @p7771)) % 1.33/1.57 (step @p7779 :rule refl :args (tptp.exuEu)) % 1.33/1.57 (step @p7780 :rule cong :premises (@p7779 @p7778) :args ((= tptp.exuEu @t4716))) % 1.33/1.57 (step @p7781 :rule refl :args (@t346)) % 1.33/1.57 (step @p7782 :rule cong :premises (@p7735 @p7781) :args (@t365)) % 1.33/1.57 (step @p7783 :rule cong :premises (@p7782) :args (@t366)) % 1.33/1.57 (step @p7784 :rule cong :premises (@p7779 @p7783) :args (@t402)) % 1.33/1.57 (step @p7785 :rule trans :premises (@p7784 @p7780)) % 1.33/1.57 (step @p7786 :rule eq_resolve :premises (@p73 @p7785)) % 1.33/1.57 (step @p7787 :rule cong :premises (@p7786 @p7743) :args (@t4717)) % 1.33/1.57 (step @p7788 :rule bool-eq-true :args (tptp.omega__Cong)) % 1.33/1.57 (step @p7789 :rule symm :premises (@p7788)) % 1.33/1.57 (step @p7790 :rule eq-refl :args (tptp.omega)) % 1.33/1.57 (step @p7791 :rule refl :args (tptp.omega__Cong)) % 1.33/1.57 (step @p7792 :rule cong :premises (@p7791 @p7790) :args (@t401)) % 1.33/1.57 (step @p7793 :rule trans :premises (@p7792 @p7788)) % 1.33/1.57 (step @p7794 :rule eq_resolve :premises (@p72 @p7793)) % 1.33/1.57 (step @p7795 :rule eq_resolve :premises (@p7794 @p7789)) % 1.33/1.57 (step @p7796 :rule cong :premises (@p7795 @p7787) :args (@t4718)) % 1.33/1.57 (step @p7797 :rule bool-eq-true :args (tptp.setunion__Cong)) % 1.33/1.57 (step @p7798 :rule symm :premises (@p7797)) % 1.33/1.57 (step @p7799 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 1.33/1.57 (step @p7800 :rule evaluate :args ((or false true))) % 1.33/1.57 (step @p7801 :rule eq-refl :args (@t4719)) % 1.33/1.57 (step @p7802 :rule nary_cong :premises (@p7258 @p7801) :args (@t4720)) % 1.33/1.57 (step @p7803 :rule trans :premises (@p7802 @p7800)) % 1.33/1.57 (step @p7804 :rule cong :premises (@p7803) :args ((forall @t41 @t4720))) % 1.33/1.57 (step @p7805 :rule trans :premises (@p7804 @p7799)) % 1.33/1.57 (step @p7806 :rule quant-var-elim-eq :args ((= (forall @t64 @t4722) @t4720))) % 1.33/1.57 (step @p7807 :rule aci_norm :args ((= @t4723 @t4722))) % 1.33/1.57 (step @p7808 :rule cong :premises (@p7807) :args (@t4724)) % 1.33/1.57 (step @p7809 :rule trans :premises (@p7808 @p7806)) % 1.33/1.57 (step @p7810 :rule cong :premises (@p7809) :args (@t4725)) % 1.33/1.57 (step @p7811 :rule quant-merge-prenex :args ((= @t4725 @t4726))) % 1.33/1.57 (step @p7812 :rule symm :premises (@p7811)) % 1.33/1.57 (step @p7813 :rule quant_var_reordering :args ((= (forall @t12 @t4723) @t4726))) % 1.33/1.57 (step @p7814 :rule trans :premises (@p7813 @p7812 @p7810)) % 1.33/1.57 (step @p7815 :rule trans :premises (@p7814 @p7805)) % 1.33/1.57 (step @p7816 :rule refl :args (@t4719)) % 1.33/1.57 (step @p7817 :rule refl :args (@t397)) % 1.33/1.57 (step @p7818 :rule cong :premises (@p7817 @p7816) :args ((= @t397 @t4719))) % 1.33/1.57 (step @p7819 :rule symm :premises (@p7818)) % 1.33/1.57 (step @p7820 :rule eq_resolve :premises (@p7817 @p7819)) % 1.33/1.57 (step @p7821 :rule cong :premises (@p5781 @p7820) :args (@t398)) % 1.33/1.57 (step @p7822 :rule nary_cong :premises (@p7273 @p7821) :args (@t4727)) % 1.33/1.57 (step @p7823 :rule cong :premises (@p7822) :args ((forall @t12 @t4727))) % 1.33/1.57 (step @p7824 :rule trans :premises (@p7823 @p7815)) % 1.33/1.57 (step @p7825 :rule bool-impl-elim :args (@t3 @t398)) % 1.33/1.57 (step @p7826 :rule cong :premises (@p7825) :args (@t399)) % 1.33/1.57 (step @p7827 :rule trans :premises (@p7826 @p7824)) % 1.33/1.57 (step @p7828 :rule refl :args (tptp.setunion__Cong)) % 1.33/1.57 (step @p7829 :rule cong :premises (@p7828 @p7827) :args (@t400)) % 1.33/1.57 (step @p7830 :rule trans :premises (@p7829 @p7797)) % 1.33/1.57 (step @p7831 :rule eq_resolve :premises (@p71 @p7830)) % 1.33/1.57 (step @p7832 :rule eq_resolve :premises (@p7831 @p7798)) % 1.33/1.57 (step @p7833 :rule cong :premises (@p7832 @p7796) :args (@t4728)) % 1.33/1.57 (step @p7834 :rule bool-eq-true :args (tptp.powerset__Cong)) % 1.33/1.57 (step @p7835 :rule symm :premises (@p7834)) % 1.33/1.57 (step @p7836 :rule eq-refl :args (@t2328)) % 1.33/1.57 (step @p7837 :rule nary_cong :premises (@p7258 @p7836) :args (@t4729)) % 1.33/1.57 (step @p7838 :rule trans :premises (@p7837 @p7800)) % 1.33/1.57 (step @p7839 :rule cong :premises (@p7838) :args ((forall @t41 @t4729))) % 1.33/1.57 (step @p7840 :rule trans :premises (@p7839 @p7799)) % 1.33/1.57 (step @p7841 :rule quant-var-elim-eq :args ((= (forall @t64 @t4731) @t4729))) % 1.33/1.57 (step @p7842 :rule aci_norm :args ((= @t4732 @t4731))) % 1.33/1.57 (step @p7843 :rule cong :premises (@p7842) :args (@t4733)) % 1.33/1.57 (step @p7844 :rule trans :premises (@p7843 @p7841)) % 1.33/1.57 (step @p7845 :rule cong :premises (@p7844) :args (@t4734)) % 1.33/1.57 (step @p7846 :rule quant-merge-prenex :args ((= @t4734 @t4735))) % 1.33/1.57 (step @p7847 :rule symm :premises (@p7846)) % 1.33/1.57 (step @p7848 :rule quant_var_reordering :args ((= (forall @t12 @t4732) @t4735))) % 1.33/1.57 (step @p7849 :rule trans :premises (@p7848 @p7847 @p7845)) % 1.33/1.57 (step @p7850 :rule trans :premises (@p7849 @p7840)) % 1.33/1.57 (step @p7851 :rule cong :premises (@p798 @p7060) :args (@t394)) % 1.33/1.57 (step @p7852 :rule nary_cong :premises (@p7273 @p7851) :args (@t4736)) % 1.33/1.57 (step @p7853 :rule cong :premises (@p7852) :args ((forall @t12 @t4736))) % 1.33/1.57 (step @p7854 :rule trans :premises (@p7853 @p7850)) % 1.33/1.57 (step @p7855 :rule bool-impl-elim :args (@t3 @t394)) % 1.33/1.57 (step @p7856 :rule cong :premises (@p7855) :args (@t395)) % 1.33/1.57 (step @p7857 :rule trans :premises (@p7856 @p7854)) % 1.33/1.57 (step @p7858 :rule refl :args (tptp.powerset__Cong)) % 1.33/1.57 (step @p7859 :rule cong :premises (@p7858 @p7857) :args (@t396)) % 1.33/1.57 (step @p7860 :rule trans :premises (@p7859 @p7834)) % 1.33/1.57 (step @p7861 :rule eq_resolve :premises (@p70 @p7860)) % 1.33/1.57 (step @p7862 :rule eq_resolve :premises (@p7861 @p7835)) % 1.33/1.57 (step @p7863 :rule cong :premises (@p7862 @p7833) :args (@t4737)) % 1.33/1.57 (step @p7864 :rule bool-eq-true :args (tptp.setadjoin__Cong)) % 1.33/1.57 (step @p7865 :rule symm :premises (@p7864)) % 1.33/1.57 (step @p7866 :rule quant-unused-vars :args ((= (forall @t4739 true) true))) % 1.33/1.57 (step @p7867 :rule eq-refl :args (@t4740)) % 1.33/1.57 (step @p7868 :rule nary_cong :premises (@p5302 @p7867) :args (@t4741)) % 1.33/1.57 (step @p7869 :rule trans :premises (@p7868 @p7800)) % 1.33/1.57 (step @p7870 :rule cong :premises (@p7869) :args ((forall @t4739 @t4741))) % 1.33/1.57 (step @p7871 :rule trans :premises (@p7870 @p7866)) % 1.33/1.57 (step @p7872 :rule quant-var-elim-eq :args ((= (forall @t9 @t4743) @t4741))) % 1.33/1.57 (step @p7873 :rule aci_norm :args ((= @t4744 @t4743))) % 1.33/1.57 (step @p7874 :rule cong :premises (@p7873) :args (@t4745)) % 1.33/1.57 (step @p7875 :rule trans :premises (@p7874 @p7872)) % 1.33/1.57 (step @p7876 :rule cong :premises (@p7875) :args (@t4746)) % 1.33/1.57 (step @p7877 :rule quant-merge-prenex :args ((= @t4746 @t4747))) % 1.33/1.57 (step @p7878 :rule symm :premises (@p7877)) % 1.33/1.57 (step @p7879 :rule quant_var_reordering :args ((= @t4748 @t4747))) % 1.33/1.57 (step @p7880 :rule trans :premises (@p7879 @p7878 @p7876)) % 1.33/1.57 (step @p7881 :rule trans :premises (@p7880 @p7871)) % 1.33/1.57 (step @p7882 :rule quant-merge-prenex :args ((= (forall @t135 @t4750) @t4748))) % 1.33/1.57 (step @p7883 :rule alpha_equiv :args (@t4751 (@list @t4738) (@list @t383))) % 1.33/1.57 (step @p7884 :rule nary_cong :premises (@p5327 @p7883) :args (@t4752)) % 1.33/1.57 (step @p7885 :rule quant-miniscope-or :args ((= @t4750 @t4752))) % 1.33/1.57 (step @p7886 :rule trans :premises (@p7885 @p7884)) % 1.33/1.57 (step @p7887 :rule symm :premises (@p7886)) % 1.33/1.57 (step @p7888 :rule cong :premises (@p7887) :args ((forall @t135 (or @t282 @t4756)))) % 1.33/1.57 (step @p7889 :rule trans :premises (@p7888 @p7882)) % 1.33/1.57 (step @p7890 :rule trans :premises (@p7889 @p7881)) % 1.33/1.57 (step @p7891 :rule bool-impl-elim :args (@t129 @t4756)) % 1.33/1.57 (step @p7892 :rule cong :premises (@p7891) :args ((forall @t135 (=> @t129 @t4756)))) % 1.33/1.57 (step @p7893 :rule trans :premises (@p7892 @p7890)) % 1.33/1.57 (step @p7894 :rule aci_norm :args ((= (or false @t4755) @t4755))) % 1.33/1.57 (step @p7895 :rule eq-symm :args (@t4753 @t4754)) % 1.33/1.57 (step @p7896 :rule nary_cong :premises (@p5266 @p7895) :args (@t4757)) % 1.33/1.57 (step @p7897 :rule trans :premises (@p7896 @p7894)) % 1.33/1.57 (step @p7898 :rule cong :premises (@p7897) :args ((forall @t756 @t4757))) % 1.33/1.57 (step @p7899 :rule quant-var-elim-eq :args ((= (forall @t1065 @t4760) @t4757))) % 1.33/1.57 (step @p7900 :rule aci_norm :args ((= @t4761 @t4760))) % 1.33/1.57 (step @p7901 :rule cong :premises (@p7900) :args (@t4762)) % 1.33/1.57 (step @p7902 :rule trans :premises (@p7901 @p7899)) % 1.33/1.57 (step @p7903 :rule cong :premises (@p7902) :args (@t4763)) % 1.33/1.57 (step @p7904 :rule quant-merge-prenex :args ((= @t4763 @t4764))) % 1.33/1.57 (step @p7905 :rule symm :premises (@p7904)) % 1.33/1.57 (step @p7906 :rule quant_var_reordering :args ((= (forall @t388 @t4761) @t4764))) % 1.33/1.57 (step @p7907 :rule trans :premises (@p7906 @p7905 @p7903)) % 1.33/1.57 (step @p7908 :rule trans :premises (@p7907 @p7898)) % 1.33/1.57 (step @p7909 :rule refl :args (@t4754)) % 1.33/1.57 (step @p7910 :rule refl :args (@t384)) % 1.33/1.57 (step @p7911 :rule cong :premises (@p7910 @p7909) :args ((= @t384 @t4754))) % 1.33/1.57 (step @p7912 :rule symm :premises (@p7911)) % 1.33/1.57 (step @p7913 :rule eq_resolve :premises (@p7910 @p7912)) % 1.33/1.57 (step @p7914 :rule refl :args (@t4758)) % 1.33/1.57 (step @p7915 :rule refl :args (@t385)) % 1.33/1.57 (step @p7916 :rule cong :premises (@p7915 @p7914) :args ((= @t385 @t4758))) % 1.33/1.57 (step @p7917 :rule symm :premises (@p7916)) % 1.33/1.57 (step @p7918 :rule eq_resolve :premises (@p7915 @p7917)) % 1.33/1.57 (step @p7919 :rule cong :premises (@p7918 @p7913) :args (@t386)) % 1.33/1.57 (step @p7920 :rule nary_cong :premises (@p5281 @p7919) :args (@t4765)) % 1.33/1.57 (step @p7921 :rule cong :premises (@p7920) :args ((forall @t388 @t4765))) % 1.33/1.57 (step @p7922 :rule trans :premises (@p7921 @p7908)) % 1.33/1.57 (step @p7923 :rule bool-impl-elim :args (@t387 @t386)) % 1.33/1.57 (step @p7924 :rule cong :premises (@p7923) :args (@t389)) % 1.33/1.57 (step @p7925 :rule trans :premises (@p7924 @p7922)) % 1.33/1.57 (step @p7926 :rule cong :premises (@p5361 @p7925) :args (@t390)) % 1.33/1.57 (step @p7927 :rule cong :premises (@p7926) :args (@t391)) % 1.33/1.57 (step @p7928 :rule trans :premises (@p7927 @p7893)) % 1.33/1.57 (step @p7929 :rule refl :args (tptp.setadjoin__Cong)) % 1.33/1.57 (step @p7930 :rule cong :premises (@p7929 @p7928) :args (@t392)) % 1.33/1.57 (step @p7931 :rule trans :premises (@p7930 @p7864)) % 1.33/1.57 (step @p7932 :rule eq_resolve :premises (@p69 @p7931)) % 1.33/1.57 (step @p7933 :rule eq_resolve :premises (@p7932 @p7865)) % 1.33/1.57 (step @p7934 :rule cong :premises (@p7933 @p7863) :args (@t4766)) % 1.33/1.57 (step @p7935 :rule bool-eq-true :args (tptp.emptyset__Cong)) % 1.33/1.57 (step @p7936 :rule symm :premises (@p7935)) % 1.33/1.57 (step @p7937 :rule eq-refl :args (tptp.emptyset)) % 1.33/1.57 (step @p7938 :rule refl :args (tptp.emptyset__Cong)) % 1.33/1.57 (step @p7939 :rule cong :premises (@p7938 @p7937) :args (@t382)) % 1.33/1.57 (step @p7940 :rule trans :premises (@p7939 @p7935)) % 1.33/1.57 (step @p7941 :rule eq_resolve :premises (@p68 @p7940)) % 1.33/1.57 (step @p7942 :rule eq_resolve :premises (@p7941 @p7936)) % 1.33/1.57 (step @p7943 :rule cong :premises (@p7942 @p7934) :args (@t4767)) % 1.33/1.57 (step @p7944 :rule bool-impl-elim :args (@t2383 @t2404)) % 1.33/1.57 (step @p7945 :rule cong :premises (@p7944) :args ((forall @t378 (=> @t2383 @t2404)))) % 1.33/1.57 (step @p7946 :rule cong :premises (@p7692 @p7672) :args (@t4768)) % 1.33/1.57 (step @p7947 :rule cong :premises (@p7713 @p7946) :args (@t4769)) % 1.33/1.57 (step @p7948 :rule cong :premises (@p7947) :args (@t4770)) % 1.33/1.57 (step @p7949 :rule trans :premises (@p7948 @p7945)) % 1.33/1.57 (step @p7950 :rule refl :args (tptp.exu__Cong)) % 1.33/1.57 (step @p7951 :rule cong :premises (@p7950 @p7949) :args ((= tptp.exu__Cong @t4770))) % 1.33/1.57 (step @p7952 :rule cong :premises (@p7735 @p7733) :args (@t372)) % 1.33/1.57 (step @p7953 :rule cong :premises (@p7737 @p7952) :args (@t377)) % 1.33/1.57 (step @p7954 :rule cong :premises (@p7953) :args (@t379)) % 1.33/1.57 (step @p7955 :rule cong :premises (@p7950 @p7954) :args (@t380)) % 1.33/1.57 (step @p7956 :rule trans :premises (@p7955 @p7951)) % 1.33/1.57 (step @p7957 :rule eq_resolve :premises (@p67 @p7956)) % 1.33/1.57 (step @p7958 :rule cong :premises (@p7957 @p7943) :args (@t4771)) % 1.33/1.57 (step @p7959 :rule refl :args (tptp.exuE3u)) % 1.33/1.57 (step @p7960 :rule cong :premises (@p7959 @p7778) :args ((= tptp.exuE3u @t4716))) % 1.33/1.57 (step @p7961 :rule cong :premises (@p7959 @p7783) :args (@t367)) % 1.33/1.57 (step @p7962 :rule trans :premises (@p7961 @p7960)) % 1.33/1.57 (step @p7963 :rule eq_resolve :premises (@p66 @p7962)) % 1.33/1.57 (step @p7964 :rule cong :premises (@p7963 @p7958) :args (@t4772)) % 1.33/1.57 (step @p7965 :rule bool-eq-true :args (tptp.in__Cong)) % 1.33/1.57 (step @p7966 :rule symm :premises (@p7965)) % 1.33/1.57 (step @p7967 :rule quant-unused-vars :args ((= (forall @t4774 true) true))) % 1.33/1.57 (step @p7968 :rule eq-refl :args (@t4775)) % 1.33/1.57 (step @p7969 :rule nary_cong :premises (@p7258 @p7968) :args (@t4776)) % 1.33/1.57 (step @p7970 :rule trans :premises (@p7969 @p7800)) % 1.33/1.57 (step @p7971 :rule cong :premises (@p7970) :args ((forall @t4774 @t4776))) % 1.33/1.57 (step @p7972 :rule trans :premises (@p7971 @p7967)) % 1.33/1.57 (step @p7973 :rule quant-var-elim-eq :args ((= (forall @t64 @t4778) @t4776))) % 1.33/1.57 (step @p7974 :rule aci_norm :args ((= @t4779 @t4778))) % 1.33/1.57 (step @p7975 :rule cong :premises (@p7974) :args (@t4780)) % 1.33/1.57 (step @p7976 :rule trans :premises (@p7975 @p7973)) % 1.33/1.57 (step @p7977 :rule cong :premises (@p7976) :args (@t4781)) % 1.33/1.57 (step @p7978 :rule quant-merge-prenex :args ((= @t4781 @t4782))) % 1.33/1.57 (step @p7979 :rule symm :premises (@p7978)) % 1.33/1.57 (step @p7980 :rule quant_var_reordering :args ((= @t4783 @t4782))) % 1.33/1.57 (step @p7981 :rule trans :premises (@p7980 @p7979 @p7977)) % 1.33/1.57 (step @p7982 :rule trans :premises (@p7981 @p7972)) % 1.33/1.57 (step @p7983 :rule quant-merge-prenex :args ((= (forall @t12 @t4785) @t4783))) % 1.33/1.57 (step @p7984 :rule alpha_equiv :args (@t4786 (@list @t4773) @t3417)) % 1.33/1.57 (step @p7985 :rule nary_cong :premises (@p7273 @p7984) :args (@t4787)) % 1.33/1.57 (step @p7986 :rule quant-miniscope-or :args ((= @t4785 @t4787))) % 1.33/1.57 (step @p7987 :rule trans :premises (@p7986 @p7985)) % 1.33/1.57 (step @p7988 :rule symm :premises (@p7987)) % 1.33/1.57 (step @p7989 :rule cong :premises (@p7988) :args ((forall @t12 (or @t445 @t4789)))) % 1.33/1.57 (step @p7990 :rule trans :premises (@p7989 @p7983)) % 1.33/1.57 (step @p7991 :rule trans :premises (@p7990 @p7982)) % 1.33/1.57 (step @p7992 :rule bool-impl-elim :args (@t3 @t4789)) % 1.33/1.57 (step @p7993 :rule cong :premises (@p7992) :args ((forall @t12 (=> @t3 @t4789)))) % 1.33/1.57 (step @p7994 :rule trans :premises (@p7993 @p7991)) % 1.33/1.57 (step @p7995 :rule aci_norm :args ((= (or false @t4788) @t4788))) % 1.33/1.57 (step @p7996 :rule refl :args (@t4788)) % 1.33/1.57 (step @p7997 :rule nary_cong :premises (@p5302 @p7996) :args (@t4790)) % 1.33/1.57 (step @p7998 :rule trans :premises (@p7997 @p7995)) % 1.33/1.57 (step @p7999 :rule cong :premises (@p7998) :args ((forall @t70 @t4790))) % 1.33/1.57 (step @p8000 :rule quant-var-elim-eq :args ((= (forall @t9 @t4792) @t4790))) % 1.33/1.57 (step @p8001 :rule aci_norm :args ((= @t4793 @t4792))) % 1.33/1.57 (step @p8002 :rule cong :premises (@p8001) :args (@t4794)) % 1.33/1.57 (step @p8003 :rule trans :premises (@p8002 @p8000)) % 1.33/1.57 (step @p8004 :rule cong :premises (@p8003) :args (@t4795)) % 1.33/1.57 (step @p8005 :rule quant-merge-prenex :args ((= @t4795 @t4796))) % 1.33/1.57 (step @p8006 :rule symm :premises (@p8005)) % 1.33/1.57 (step @p8007 :rule quant_var_reordering :args ((= (forall @t135 @t4793) @t4796))) % 1.33/1.57 (step @p8008 :rule trans :premises (@p8007 @p8006 @p8004)) % 1.33/1.57 (step @p8009 :rule trans :premises (@p8008 @p7999)) % 1.33/1.57 (step @p8010 :rule cong :premises (@p909 @p3685) :args (@t360)) % 1.33/1.57 (step @p8011 :rule nary_cong :premises (@p5327 @p8010) :args (@t4797)) % 1.33/1.57 (step @p8012 :rule cong :premises (@p8011) :args ((forall @t135 @t4797))) % 1.33/1.57 (step @p8013 :rule trans :premises (@p8012 @p8009)) % 1.33/1.57 (step @p8014 :rule bool-impl-elim :args (@t129 @t360)) % 1.33/1.57 (step @p8015 :rule cong :premises (@p8014) :args (@t361)) % 1.33/1.57 (step @p8016 :rule trans :premises (@p8015 @p8013)) % 1.33/1.57 (step @p8017 :rule cong :premises (@p7557 @p8016) :args (@t362)) % 1.33/1.57 (step @p8018 :rule cong :premises (@p8017) :args (@t363)) % 1.33/1.57 (step @p8019 :rule trans :premises (@p8018 @p7994)) % 1.33/1.57 (step @p8020 :rule refl :args (tptp.in__Cong)) % 1.33/1.57 (step @p8021 :rule cong :premises (@p8020 @p8019) :args (@t364)) % 1.33/1.57 (step @p8022 :rule trans :premises (@p8021 @p7965)) % 1.33/1.57 (step @p8023 :rule eq_resolve :premises (@p65 @p8022)) % 1.33/1.57 (step @p8024 :rule eq_resolve :premises (@p8023 @p7966)) % 1.33/1.57 (step @p8025 :rule cong :premises (@p8024 @p7964) :args (@t4798)) % 1.33/1.57 (step @p8026 :rule bool-eq-true :args (tptp.inCongP)) % 1.33/1.57 (step @p8027 :rule symm :premises (@p8026)) % 1.33/1.57 (step @p8028 :rule quant-unused-vars :args ((= (forall @t4800 true) true))) % 1.33/1.57 (step @p8029 :rule bool-or-taut2 :args (false @t4801 false false)) % 1.33/1.57 (step @p8030 :rule cong :premises (@p8029) :args ((forall @t4800 @t4803))) % 1.33/1.57 (step @p8031 :rule trans :premises (@p8030 @p8028)) % 1.33/1.57 (step @p8032 :rule aci_norm :args ((= (or false @t4802 @t4801) @t4803))) % 1.33/1.57 (step @p8033 :rule refl :args (@t4801)) % 1.33/1.57 (step @p8034 :rule refl :args (@t4802)) % 1.33/1.57 (step @p8035 :rule nary_cong :premises (@p7258 @p8034 @p8033) :args (@t4804)) % 1.33/1.57 (step @p8036 :rule trans :premises (@p8035 @p8032)) % 1.33/1.57 (step @p8037 :rule cong :premises (@p8036) :args ((forall @t4800 @t4804))) % 1.33/1.57 (step @p8038 :rule trans :premises (@p8037 @p8031)) % 1.33/1.57 (step @p8039 :rule quant-var-elim-eq :args ((= (forall @t64 @t4806) @t4804))) % 1.33/1.57 (step @p8040 :rule aci_norm :args ((= @t4807 @t4806))) % 1.33/1.57 (step @p8041 :rule cong :premises (@p8040) :args (@t4808)) % 1.33/1.57 (step @p8042 :rule trans :premises (@p8041 @p8039)) % 1.33/1.57 (step @p8043 :rule cong :premises (@p8042) :args (@t4809)) % 1.33/1.57 (step @p8044 :rule quant-merge-prenex :args ((= @t4809 @t4810))) % 1.33/1.57 (step @p8045 :rule symm :premises (@p8044)) % 1.33/1.57 (step @p8046 :rule quant_var_reordering :args ((= (forall @t4811 @t4807) @t4810))) % 1.33/1.57 (step @p8047 :rule trans :premises (@p8046 @p8045 @p8043)) % 1.33/1.57 (step @p8048 :rule trans :premises (@p8047 @p8038)) % 1.33/1.57 (step @p8049 :rule aci_norm :args ((= @t4813 @t4807))) % 1.33/1.57 (step @p8050 :rule cong :premises (@p8049) :args (@t4814)) % 1.33/1.57 (step @p8051 :rule trans :premises (@p8050 @p8048)) % 1.33/1.57 (step @p8052 :rule quant-merge-prenex :args ((= (forall @t12 @t4816) @t4814))) % 1.33/1.57 (step @p8053 :rule alpha_equiv :args (@t4817 (@list @t4799) @t3417)) % 1.33/1.57 (step @p8054 :rule nary_cong :premises (@p7273 @p8053) :args (@t4818)) % 1.33/1.57 (step @p8055 :rule quant-miniscope-or :args ((= @t4816 @t4818))) % 1.33/1.57 (step @p8056 :rule trans :premises (@p8055 @p8054)) % 1.33/1.57 (step @p8057 :rule symm :premises (@p8056)) % 1.33/1.57 (step @p8058 :rule cong :premises (@p8057) :args ((forall @t12 (or @t445 @t4820)))) % 1.33/1.57 (step @p8059 :rule trans :premises (@p8058 @p8052)) % 1.33/1.57 (step @p8060 :rule trans :premises (@p8059 @p8051)) % 1.33/1.57 (step @p8061 :rule bool-impl-elim :args (@t3 @t4820)) % 1.33/1.57 (step @p8062 :rule cong :premises (@p8061) :args ((forall @t12 (=> @t3 @t4820)))) % 1.33/1.57 (step @p8063 :rule trans :premises (@p8062 @p8060)) % 1.33/1.57 (step @p8064 :rule aci_norm :args ((= (or false @t2170 @t2054) @t4819))) % 1.33/1.57 (step @p8065 :rule refl :args (@t2170)) % 1.33/1.57 (step @p8066 :rule nary_cong :premises (@p5302 @p8065 @p4709) :args (@t4821)) % 1.33/1.57 (step @p8067 :rule trans :premises (@p8066 @p8064)) % 1.33/1.57 (step @p8068 :rule cong :premises (@p8067) :args ((forall @t70 @t4821))) % 1.33/1.57 (step @p8069 :rule quant-var-elim-eq :args ((= (forall @t9 @t4822) @t4821))) % 1.33/1.57 (step @p8070 :rule aci_norm :args ((= @t4823 @t4822))) % 1.33/1.57 (step @p8071 :rule cong :premises (@p8070) :args (@t4824)) % 1.33/1.57 (step @p8072 :rule trans :premises (@p8071 @p8069)) % 1.33/1.57 (step @p8073 :rule cong :premises (@p8072) :args (@t4825)) % 1.33/1.57 (step @p8074 :rule quant-merge-prenex :args ((= @t4825 @t4826))) % 1.33/1.57 (step @p8075 :rule symm :premises (@p8074)) % 1.33/1.57 (step @p8076 :rule quant_var_reordering :args ((= (forall @t135 @t4823) @t4826))) % 1.33/1.57 (step @p8077 :rule trans :premises (@p8076 @p8075 @p8073)) % 1.33/1.57 (step @p8078 :rule trans :premises (@p8077 @p8068)) % 1.33/1.57 (step @p8079 :rule nary_cong :premises (@p5327 @p910 @p3685) :args (@t4827)) % 1.33/1.57 (step @p8080 :rule cong :premises (@p8079) :args ((forall @t135 @t4827))) % 1.33/1.57 (step @p8081 :rule trans :premises (@p8080 @p8078)) % 1.33/1.57 (step @p8082 :rule aci_norm :args ((= (or @t282 (or @t197 @t354)) @t4827))) % 1.33/1.57 (step @p8083 :rule bool-impl-elim :args (@t7 @t354)) % 1.33/1.57 (step @p8084 :rule nary_cong :premises (@p5327 @p8083) :args ((or @t282 @t355))) % 1.33/1.57 (step @p8085 :rule trans :premises (@p8084 @p8082)) % 1.33/1.57 (step @p8086 :rule bool-impl-elim :args (@t129 @t355)) % 1.33/1.57 (step @p8087 :rule trans :premises (@p8086 @p8085)) % 1.33/1.57 (step @p8088 :rule cong :premises (@p8087) :args (@t356)) % 1.33/1.57 (step @p8089 :rule trans :premises (@p8088 @p8081)) % 1.33/1.57 (step @p8090 :rule cong :premises (@p7557 @p8089) :args (@t357)) % 1.33/1.57 (step @p8091 :rule cong :premises (@p8090) :args (@t358)) % 1.33/1.57 (step @p8092 :rule trans :premises (@p8091 @p8063)) % 1.33/1.57 (step @p8093 :rule refl :args (tptp.inCongP)) % 1.33/1.57 (step @p8094 :rule cong :premises (@p8093 @p8092) :args (@t359)) % 1.33/1.57 (step @p8095 :rule trans :premises (@p8094 @p8026)) % 1.33/1.57 (step @p8096 :rule eq_resolve :premises (@p64 @p8095)) % 1.33/1.57 (step @p8097 :rule eq_resolve :premises (@p8096 @p8027)) % 1.33/1.57 (step @p8098 :rule cong :premises (@p8097 @p8025) :args (@t4828)) % 1.33/1.57 (step @p8099 :rule refl :args (@t2403)) % 1.33/1.57 (step @p8100 :rule eq-symm :args (@t2406 @t19)) % 1.33/1.57 (step @p8101 :rule refl :args (@t2167)) % 1.33/1.57 (step @p8102 :rule cong :premises (@p8101 @p8100) :args ((= @t2167 @t4829))) % 1.33/1.57 (step @p8103 :rule eq-symm :args (@t4829 @t2167)) % 1.33/1.57 (step @p8104 :rule trans :premises (@p8103 @p8102)) % 1.33/1.57 (step @p8105 :rule cong :premises (@p8104) :args (@t4830)) % 1.33/1.57 (step @p8106 :rule cong :premises (@p8105) :args (@t4831)) % 1.33/1.57 (step @p8107 :rule nary_cong :premises (@p8106 @p8099) :args (@t4832)) % 1.33/1.57 (step @p8108 :rule cong :premises (@p8107) :args (@t4833)) % 1.33/1.57 (step @p8109 :rule quant-merge-prenex :args ((= (forall @t150 @t4835) @t4833))) % 1.33/1.57 (step @p8110 :rule refl :args (@t2403)) % 1.33/1.57 (step @p8111 :rule alpha_equiv :args (@t4836 (@list @t2406) @t2902)) % 1.33/1.57 (step @p8112 :rule nary_cong :premises (@p8111 @p8110) :args (@t4837)) % 1.33/1.57 (step @p8113 :rule quant-miniscope-or :args ((= @t4835 @t4837))) % 1.33/1.57 (step @p8114 :rule trans :premises (@p8113 @p8112)) % 1.33/1.57 (step @p8115 :rule symm :premises (@p8114)) % 1.33/1.57 (step @p8116 :rule cong :premises (@p8115) :args ((forall @t150 (or @t2457 @t2403)))) % 1.33/1.57 (step @p8117 :rule trans :premises (@p8116 @p8109)) % 1.33/1.57 (step @p8118 :rule trans :premises (@p8117 @p8108)) % 1.33/1.57 (step @p8119 :rule bool-double-not-elim :args (@t2457)) % 1.33/1.57 (step @p8120 :rule nary_cong :premises (@p8119 @p8110) :args ((or (not @t2458) @t2403))) % 1.33/1.57 (step @p8121 :rule bool-impl-elim :args (@t2458 @t2403)) % 1.33/1.57 (step @p8122 :rule trans :premises (@p8121 @p8120)) % 1.33/1.57 (step @p8123 :rule cong :premises (@p8122) :args ((forall @t150 (=> @t2458 @t2403)))) % 1.33/1.57 (step @p8124 :rule trans :premises (@p8123 @p8118)) % 1.33/1.57 (step @p8125 :rule exists-elim :args ((= (exists @t9 @t2456) @t2458))) % 1.33/1.57 (step @p8126 :rule eq-symm :args (@t2167 @t129)) % 1.33/1.57 (step @p8127 :rule cong :premises (@p8126) :args ((forall @t70 (= @t2167 @t129)))) % 1.33/1.57 (step @p8128 :rule cong :premises (@p4193 @p4188) :args (@t4838)) % 1.33/1.57 (step @p8129 :rule cong :premises (@p8128) :args ((forall @t70 @t4838))) % 1.33/1.57 (step @p8130 :rule trans :premises (@p8129 @p8127)) % 1.33/1.57 (step @p8131 :rule cong :premises (@p5648 @p5647) :args (@t263)) % 1.33/1.57 (step @p8132 :rule cong :premises (@p8131) :args (@t264)) % 1.33/1.57 (step @p8133 :rule trans :premises (@p8132 @p8130)) % 1.33/1.57 (step @p8134 :rule cong :premises (@p8133) :args (@t265)) % 1.33/1.57 (step @p8135 :rule trans :premises (@p8134 @p8125)) % 1.33/1.57 (step @p8136 :rule cong :premises (@p8135 @p7692) :args (@t4839)) % 1.33/1.57 (step @p8137 :rule cong :premises (@p8136) :args (@t4840)) % 1.33/1.57 (step @p8138 :rule trans :premises (@p8137 @p8124)) % 1.33/1.57 (step @p8139 :rule refl :args (tptp.exuI2)) % 1.33/1.57 (step @p8140 :rule cong :premises (@p8139 @p8138) :args ((= tptp.exuI2 @t4840))) % 1.33/1.57 (step @p8141 :rule refl :args (@t265)) % 1.33/1.57 (step @p8142 :rule cong :premises (@p8141 @p7735) :args (@t351)) % 1.33/1.57 (step @p8143 :rule cong :premises (@p8142) :args (@t352)) % 1.33/1.57 (step @p8144 :rule cong :premises (@p8139 @p8143) :args (@t353)) % 1.33/1.57 (step @p8145 :rule trans :premises (@p8144 @p8140)) % 1.33/1.57 (step @p8146 :rule eq_resolve :premises (@p63 @p8145)) % 1.33/1.57 (step @p8147 :rule cong :premises (@p8146 @p8098) :args (@t4841)) % 1.33/1.57 (step @p8148 :rule quant-merge-prenex :args ((= (forall @t150 @t4843) @t2414))) % 1.33/1.57 (step @p8149 :rule refl :args (@t2410)) % 1.33/1.57 (step @p8150 :rule alpha_equiv :args (@t4844 (@list @t2411) @t2902)) % 1.33/1.57 (step @p8151 :rule nary_cong :premises (@p8150 @p8149 @p8110) :args (@t4845)) % 1.33/1.57 (step @p8152 :rule quant-miniscope-or :args ((= @t4843 @t4845))) % 1.33/1.57 (step @p8153 :rule trans :premises (@p8152 @p8151)) % 1.33/1.57 (step @p8154 :rule symm :premises (@p8153)) % 1.33/1.57 (step @p8155 :rule cong :premises (@p8154) :args ((forall @t150 @t4846))) % 1.33/1.57 (step @p8156 :rule trans :premises (@p8155 @p8148)) % 1.33/1.57 (step @p8157 :rule aci_norm :args ((= (or @t2521 (or @t2410 @t2403)) @t4846))) % 1.33/1.57 (step @p8158 :rule bool-impl-elim :args (@t2409 @t2403)) % 1.33/1.57 (step @p8159 :rule refl :args (@t2521)) % 1.33/1.57 (step @p8160 :rule nary_cong :premises (@p8159 @p8158) :args ((or @t2521 @t4847))) % 1.33/1.57 (step @p8161 :rule trans :premises (@p8160 @p8157)) % 1.33/1.57 (step @p8162 :rule refl :args (@t4847)) % 1.33/1.57 (step @p8163 :rule bool-double-not-elim :args (@t2521)) % 1.33/1.57 (step @p8164 :rule nary_cong :premises (@p8163 @p8162) :args ((or (not @t2522) @t4847))) % 1.33/1.57 (step @p8165 :rule bool-impl-elim :args (@t2522 @t4847)) % 1.33/1.57 (step @p8166 :rule trans :premises (@p8165 @p8164)) % 1.33/1.57 (step @p8167 :rule trans :premises (@p8166 @p8161)) % 1.33/1.57 (step @p8168 :rule cong :premises (@p8167) :args ((forall @t150 (=> @t2522 @t4847)))) % 1.33/1.57 (step @p8169 :rule trans :premises (@p8168 @p8156)) % 1.33/1.57 (step @p8170 :rule cong :premises (@p7775 @p7692) :args (@t4848)) % 1.33/1.57 (step @p8171 :rule cong :premises (@p4179) :args (@t4849)) % 1.33/1.57 (step @p8172 :rule cong :premises (@p8171) :args (@t4850)) % 1.33/1.57 (step @p8173 :rule exists-elim :args ((= @t186 @t4850))) % 1.33/1.57 (step @p8174 :rule trans :premises (@p8173 @p8172)) % 1.33/1.57 (step @p8175 :rule cong :premises (@p8174 @p8170) :args (@t4851)) % 1.33/1.57 (step @p8176 :rule cong :premises (@p8175) :args (@t4852)) % 1.33/1.57 (step @p8177 :rule trans :premises (@p8176 @p8169)) % 1.33/1.57 (step @p8178 :rule refl :args (tptp.exuI3)) % 1.33/1.57 (step @p8179 :rule cong :premises (@p8178 @p8177) :args ((= tptp.exuI3 @t4852))) % 1.33/1.57 (step @p8180 :rule cong :premises (@p7781 @p7735) :args (@t347)) % 1.33/1.57 (step @p8181 :rule refl :args (@t186)) % 1.33/1.57 (step @p8182 :rule cong :premises (@p8181 @p8180) :args (@t348)) % 1.33/1.57 (step @p8183 :rule cong :premises (@p8182) :args (@t349)) % 1.33/1.57 (step @p8184 :rule cong :premises (@p8178 @p8183) :args (@t350)) % 1.33/1.57 (step @p8185 :rule trans :premises (@p8184 @p8179)) % 1.33/1.57 (step @p8186 :rule eq_resolve :premises (@p62 @p8185)) % 1.33/1.57 (step @p8187 :rule cong :premises (@p8186 @p8147) :args (@t4853)) % 1.33/1.57 (step @p8188 :rule bool-eq-true :args (tptp.exuI1)) % 1.33/1.57 (step @p8189 :rule symm :premises (@p8188)) % 1.33/1.57 (step @p8190 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 1.33/1.57 (step @p8191 :rule bool-or-taut :args (false @t2402 false false)) % 1.33/1.57 (step @p8192 :rule nary_cong :premises (@p7640 @p8110) :args ((or @t4659 @t2403))) % 1.33/1.57 (step @p8193 :rule bool-impl-elim :args (@t2403 @t2403)) % 1.33/1.57 (step @p8194 :rule trans :premises (@p8193 @p8192)) % 1.33/1.57 (step @p8195 :rule trans :premises (@p8194 @p8191)) % 1.33/1.57 (step @p8196 :rule cong :premises (@p8195) :args ((forall @t150 (=> @t2403 @t2403)))) % 1.33/1.57 (step @p8197 :rule trans :premises (@p8196 @p8190)) % 1.33/1.57 (step @p8198 :rule cong :premises (@p7730 @p7692) :args (@t4854)) % 1.33/1.57 (step @p8199 :rule cong :premises (@p8198) :args (@t4855)) % 1.33/1.57 (step @p8200 :rule trans :premises (@p8199 @p8197)) % 1.33/1.57 (step @p8201 :rule refl :args (tptp.exuI1)) % 1.33/1.57 (step @p8202 :rule cong :premises (@p8201 @p8200) :args ((= tptp.exuI1 @t4855))) % 1.33/1.57 (step @p8203 :rule trans :premises (@p8202 @p8188)) % 1.33/1.57 (step @p8204 :rule refl :args (@t169)) % 1.33/1.57 (step @p8205 :rule cong :premises (@p8204 @p7735) :args (@t342)) % 1.33/1.57 (step @p8206 :rule cong :premises (@p8205) :args (@t343)) % 1.33/1.57 (step @p8207 :rule cong :premises (@p8201 @p8206) :args (@t344)) % 1.33/1.57 (step @p8208 :rule trans :premises (@p8207 @p8203)) % 1.33/1.57 (step @p8209 :rule eq_resolve :premises (@p61 @p8208)) % 1.33/1.57 (step @p8210 :rule eq_resolve :premises (@p8209 @p8189)) % 1.33/1.57 (step @p8211 :rule cong :premises (@p8210 @p8187) :args (@t4856)) % 1.33/1.57 (step @p8212 :rule bool-eq-true :args (tptp.notdallE)) % 1.33/1.57 (step @p8213 :rule symm :premises (@p8212)) % 1.33/1.57 (step @p8214 :rule bool-eq-true :args (tptp.notdallE)) % 1.33/1.57 (step @p8215 :rule eq-symm :args (true tptp.notdallE)) % 1.33/1.57 (step @p8216 :rule trans :premises (@p8215 @p8214)) % 1.33/1.57 (step @p8217 :rule refl :args (tptp.notdallE)) % 1.33/1.57 (step @p8218 :rule quant-unused-vars :args ((= (forall @t311 true) true))) % 1.33/1.57 (step @p8219 :rule bool-or-taut :args (false @t4857 false false)) % 1.33/1.57 (step @p8220 :rule refl :args (@t4858)) % 1.33/1.57 (step @p8221 :rule bool-double-not-elim :args (@t4857)) % 1.33/1.57 (step @p8222 :rule nary_cong :premises (@p8221 @p8220) :args ((or (not @t4858) @t4858))) % 1.33/1.57 (step @p8223 :rule bool-impl-elim :args (@t4858 @t4858)) % 1.33/1.57 (step @p8224 :rule trans :premises (@p8223 @p8222)) % 1.33/1.57 (step @p8225 :rule trans :premises (@p8224 @p8219)) % 1.33/1.57 (step @p8226 :rule cong :premises (@p8225) :args ((forall @t311 (=> @t4858 @t4858)))) % 1.33/1.57 (step @p8227 :rule trans :premises (@p8226 @p8218)) % 1.33/1.57 (step @p8228 :rule nary_cong :premises (@p910 @p4153) :args (@t4859)) % 1.33/1.57 (step @p8229 :rule cong :premises (@p8228) :args ((forall @t9 @t4859))) % 1.33/1.57 (step @p8230 :rule bool-double-not-elim :args (@t144)) % 1.33/1.57 (step @p8231 :rule nary_cong :premises (@p915 @p8230) :args ((or @t197 (not @t317)))) % 1.33/1.57 (step @p8232 :rule bool-and-de-morgan :args (@t7 @t317 true)) % 1.33/1.57 (step @p8233 :rule trans :premises (@p8232 @p8231)) % 1.33/1.57 (step @p8234 :rule cong :premises (@p8233) :args (@t4860)) % 1.33/1.57 (step @p8235 :rule trans :premises (@p8234 @p8229)) % 1.33/1.57 (step @p8236 :rule cong :premises (@p8235) :args (@t4861)) % 1.33/1.57 (step @p8237 :rule exists-elim :args ((= @t319 @t4861))) % 1.33/1.57 (step @p8238 :rule trans :premises (@p8237 @p8236)) % 1.33/1.57 (step @p8239 :rule bool-impl-elim :args (@t7 @t144)) % 1.33/1.57 (step @p8240 :rule cong :premises (@p8239) :args (@t320)) % 1.33/1.57 (step @p8241 :rule trans :premises (@p8240 @p8229)) % 1.33/1.57 (step @p8242 :rule cong :premises (@p8241) :args (@t321)) % 1.33/1.57 (step @p8243 :rule cong :premises (@p8242 @p8238) :args (@t322)) % 1.33/1.57 (step @p8244 :rule cong :premises (@p8243) :args (@t323)) % 1.33/1.57 (step @p8245 :rule trans :premises (@p8244 @p8227)) % 1.33/1.57 (step @p8246 :rule cong :premises (@p8245 @p8217) :args ((= @t323 tptp.notdallE))) % 1.33/1.57 (step @p8247 :rule trans :premises (@p8246 @p8216)) % 1.33/1.57 (step @p8248 :rule eq-symm :args (tptp.notdallE @t323)) % 1.33/1.57 (step @p8249 :rule trans :premises (@p8248 @p8247)) % 1.33/1.57 (step @p8250 :rule eq_resolve :premises (@p60 @p8249)) % 1.33/1.57 (step @p8251 :rule eq_resolve :premises (@p8250 @p8213)) % 1.33/1.57 (step @p8252 :rule cong :premises (@p8251 @p8211) :args (@t4862)) % 1.33/1.57 (step @p8253 :rule bool-eq-true :args (tptp.notdexE)) % 1.33/1.57 (step @p8254 :rule symm :premises (@p8253)) % 1.33/1.57 (step @p8255 :rule bool-eq-true :args (tptp.notdexE)) % 1.33/1.57 (step @p8256 :rule eq-symm :args (true tptp.notdexE)) % 1.33/1.57 (step @p8257 :rule trans :premises (@p8256 @p8255)) % 1.33/1.57 (step @p8258 :rule refl :args (tptp.notdexE)) % 1.33/1.57 (step @p8259 :rule bool-or-taut2 :args (false @t2174 false false)) % 1.33/1.57 (step @p8260 :rule bool-impl-elim :args (@t2174 @t2174)) % 1.33/1.57 (step @p8261 :rule trans :premises (@p8260 @p8259)) % 1.33/1.57 (step @p8262 :rule cong :premises (@p8261) :args ((forall @t311 (=> @t2174 @t2174)))) % 1.33/1.57 (step @p8263 :rule trans :premises (@p8262 @p8218)) % 1.33/1.57 (step @p8264 :rule bool-impl-elim :args (@t7 @t317)) % 1.33/1.57 (step @p8265 :rule cong :premises (@p8264) :args (@t326)) % 1.33/1.57 (step @p8266 :rule trans :premises (@p8265 @p5551)) % 1.33/1.57 (step @p8267 :rule bool-double-not-elim :args (@t2174)) % 1.33/1.57 (step @p8268 :rule cong :premises (@p5557) :args (@t325)) % 1.33/1.57 (step @p8269 :rule trans :premises (@p8268 @p8267)) % 1.33/1.57 (step @p8270 :rule cong :premises (@p8269 @p8266) :args (@t330)) % 1.33/1.57 (step @p8271 :rule cong :premises (@p8270) :args (@t331)) % 1.33/1.57 (step @p8272 :rule trans :premises (@p8271 @p8263)) % 1.33/1.57 (step @p8273 :rule cong :premises (@p8272 @p8258) :args ((= @t331 tptp.notdexE))) % 1.33/1.57 (step @p8274 :rule trans :premises (@p8273 @p8257)) % 1.33/1.57 (step @p8275 :rule eq-symm :args (tptp.notdexE @t331)) % 1.33/1.57 (step @p8276 :rule trans :premises (@p8275 @p8274)) % 1.33/1.57 (step @p8277 :rule eq_resolve :premises (@p59 @p8276)) % 1.33/1.57 (step @p8278 :rule eq_resolve :premises (@p8277 @p8254)) % 1.33/1.57 (step @p8279 :rule cong :premises (@p8278 @p8252) :args (@t4863)) % 1.33/1.57 (step @p8280 :rule aci_norm :args ((= (or false @t2417) @t2417))) % 1.33/1.57 (step @p8281 :rule nary_cong :premises (@p2601 @p699) :args (@t4864)) % 1.33/1.57 (step @p8282 :rule trans :premises (@p8281 @p8280)) % 1.33/1.57 (step @p8283 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3458 @t1061 @t4866)) @t4864))) % 1.33/1.57 (step @p8284 :rule refl :args (@t4866)) % 1.33/1.57 (step @p8285 :rule nary_cong :premises (@p2612 @p2609 @p8284) :args (@t4867)) % 1.33/1.57 (step @p8286 :rule aci_norm :args ((= @t4868 @t4867))) % 1.33/1.57 (step @p8287 :rule trans :premises (@p8286 @p8285)) % 1.33/1.57 (step @p8288 :rule cong :premises (@p8287) :args ((forall @t179 @t4868))) % 1.33/1.57 (step @p8289 :rule trans :premises (@p8288 @p8283)) % 1.33/1.57 (step @p8290 :rule trans :premises (@p8289 @p8282)) % 1.33/1.57 (step @p8291 :rule refl :args ((tptp.set2prop @t174))) % 1.33/1.57 (step @p8292 :rule refl :args (@t4865)) % 1.33/1.57 (step @p8293 :rule cong :premises (@p8292) :args (@t4866)) % 1.33/1.57 (step @p8294 :rule trans :premises (@p8293 @p8291)) % 1.33/1.57 (step @p8295 :rule refl :args (tptp.set2prop)) % 1.33/1.57 (step @p8296 :rule ho_cong :premises (@p8295 @p8292)) % 1.33/1.57 (step @p8297 :rule cong :premises (@p8296 @p8294) :args ((= (_ tptp.set2prop @t4865) @t4866))) % 1.33/1.57 (step @p8298 :rule symm :premises (@p8297)) % 1.33/1.57 (step @p8299 :rule refl :args (@t339)) % 1.33/1.57 (step @p8300 :rule eq_resolve :premises (@p8299 @p8298)) % 1.33/1.57 (step @p8301 :rule refl :args (@t174)) % 1.33/1.57 (step @p8302 :rule cong :premises (@p8301 @p8292) :args ((= @t174 @t4865))) % 1.33/1.57 (step @p8303 :rule symm :premises (@p8302)) % 1.33/1.57 (step @p8304 :rule eq_resolve :premises (@p8301 @p8303)) % 1.33/1.57 (step @p8305 :rule ho_cong :premises (@p8295 @p8304)) % 1.33/1.57 (step @p8306 :rule trans :premises (@p8305 @p8300)) % 1.33/1.57 (step @p8307 :rule nary_cong :premises (@p2609 @p8306) :args (@t4869)) % 1.33/1.57 (step @p8308 :rule cong :premises (@p8307) :args ((forall @t179 @t4869))) % 1.33/1.57 (step @p8309 :rule trans :premises (@p8308 @p8290)) % 1.33/1.57 (step @p8310 :rule bool-impl-elim :args (@t173 @t339)) % 1.33/1.57 (step @p8311 :rule cong :premises (@p8310) :args (@t340)) % 1.33/1.57 (step @p8312 :rule trans :premises (@p8311 @p8309)) % 1.33/1.57 (step @p8313 :rule refl :args (tptp.prop2set2propI)) % 1.33/1.57 (step @p8314 :rule cong :premises (@p8313 @p8312) :args (@t341)) % 1.33/1.57 (step @p8315 :rule eq_resolve :premises (@p58 @p8314)) % 1.33/1.57 (step @p8316 :rule cong :premises (@p8315 @p8279) :args (@t4870)) % 1.33/1.57 (step @p8317 :rule aci_norm :args ((= (or false @t2419) @t2419))) % 1.33/1.57 (step @p8318 :rule nary_cong :premises (@p2601 @p701) :args (@t4871)) % 1.33/1.57 (step @p8319 :rule trans :premises (@p8318 @p8317)) % 1.33/1.57 (step @p8320 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3458 @t1061 @t4872)) @t4871))) % 1.33/1.57 (step @p8321 :rule refl :args (@t4872)) % 1.33/1.57 (step @p8322 :rule nary_cong :premises (@p2612 @p2609 @p8321) :args (@t4873)) % 1.33/1.57 (step @p8323 :rule aci_norm :args ((= @t4874 @t4873))) % 1.33/1.57 (step @p8324 :rule trans :premises (@p8323 @p8322)) % 1.33/1.57 (step @p8325 :rule cong :premises (@p8324) :args ((forall @t179 @t4874))) % 1.33/1.57 (step @p8326 :rule trans :premises (@p8325 @p8320)) % 1.33/1.57 (step @p8327 :rule trans :premises (@p8326 @p8319)) % 1.33/1.57 (step @p8328 :rule refl :args ((tptp.in tptp.emptyset @t174))) % 1.33/1.57 (step @p8329 :rule cong :premises (@p317 @p8292) :args (@t4872)) % 1.33/1.57 (step @p8330 :rule trans :premises (@p8329 @p8328)) % 1.33/1.57 (step @p8331 :rule ho_cong :premises (@p320 @p8292)) % 1.33/1.57 (step @p8332 :rule cong :premises (@p8331 @p8330) :args ((= (_ @t49 @t4865) @t4872))) % 1.33/1.57 (step @p8333 :rule symm :premises (@p8332)) % 1.33/1.57 (step @p8334 :rule refl :args (@t336)) % 1.33/1.57 (step @p8335 :rule eq_resolve :premises (@p8334 @p8333)) % 1.33/1.57 (step @p8336 :rule ho_cong :premises (@p320 @p8304)) % 1.33/1.57 (step @p8337 :rule trans :premises (@p8336 @p8335)) % 1.33/1.57 (step @p8338 :rule nary_cong :premises (@p2609 @p8337) :args (@t4875)) % 1.33/1.57 (step @p8339 :rule cong :premises (@p8338) :args ((forall @t179 @t4875))) % 1.33/1.57 (step @p8340 :rule trans :premises (@p8339 @p8327)) % 1.33/1.57 (step @p8341 :rule bool-impl-elim :args (@t173 @t336)) % 1.33/1.57 (step @p8342 :rule cong :premises (@p8341) :args (@t337)) % 1.33/1.57 (step @p8343 :rule trans :premises (@p8342 @p8340)) % 1.33/1.57 (step @p8344 :rule refl :args (tptp.prop2setI)) % 1.33/1.57 (step @p8345 :rule cong :premises (@p8344 @p8343) :args (@t338)) % 1.33/1.57 (step @p8346 :rule eq_resolve :premises (@p57 @p8345)) % 1.33/1.57 (step @p8347 :rule cong :premises (@p8346 @p8316) :args (@t4876)) % 1.33/1.57 (step @p8348 :rule bool-eq-true :args (tptp.quantDeMorgan4)) % 1.33/1.57 (step @p8349 :rule symm :premises (@p8348)) % 1.33/1.57 (step @p8350 :rule cong :premises (@p8238 @p8242) :args (@t333)) % 1.33/1.57 (step @p8351 :rule cong :premises (@p8350) :args (@t334)) % 1.33/1.57 (step @p8352 :rule trans :premises (@p8351 @p8227)) % 1.33/1.57 (step @p8353 :rule refl :args (tptp.quantDeMorgan4)) % 1.33/1.57 (step @p8354 :rule cong :premises (@p8353 @p8352) :args (@t335)) % 1.33/1.57 (step @p8355 :rule trans :premises (@p8354 @p8348)) % 1.33/1.57 (step @p8356 :rule eq_resolve :premises (@p56 @p8355)) % 1.33/1.57 (step @p8357 :rule eq_resolve :premises (@p8356 @p8349)) % 1.33/1.57 (step @p8358 :rule cong :premises (@p8357 @p8347) :args (@t4877)) % 1.33/1.57 (step @p8359 :rule bool-eq-true :args (tptp.quantDeMorgan3)) % 1.33/1.57 (step @p8360 :rule symm :premises (@p8359)) % 1.33/1.57 (step @p8361 :rule refl :args (tptp.quantDeMorgan3)) % 1.33/1.57 (step @p8362 :rule cong :premises (@p8361 @p8272) :args (@t332)) % 1.33/1.57 (step @p8363 :rule trans :premises (@p8362 @p8359)) % 1.33/1.57 (step @p8364 :rule eq_resolve :premises (@p55 @p8363)) % 1.33/1.57 (step @p8365 :rule eq_resolve :premises (@p8364 @p8360)) % 1.33/1.57 (step @p8366 :rule cong :premises (@p8365 @p8358) :args (@t4878)) % 1.33/1.57 (step @p8367 :rule bool-eq-true :args (tptp.quantDeMorgan2)) % 1.33/1.57 (step @p8368 :rule symm :premises (@p8367)) % 1.33/1.57 (step @p8369 :rule cong :premises (@p8266 @p8269) :args (@t327)) % 1.33/1.57 (step @p8370 :rule cong :premises (@p8369) :args (@t328)) % 1.33/1.57 (step @p8371 :rule trans :premises (@p8370 @p8263)) % 1.33/1.57 (step @p8372 :rule refl :args (tptp.quantDeMorgan2)) % 1.33/1.57 (step @p8373 :rule cong :premises (@p8372 @p8371) :args (@t329)) % 1.33/1.57 (step @p8374 :rule trans :premises (@p8373 @p8367)) % 1.33/1.57 (step @p8375 :rule eq_resolve :premises (@p54 @p8374)) % 1.33/1.57 (step @p8376 :rule eq_resolve :premises (@p8375 @p8368)) % 1.33/1.57 (step @p8377 :rule cong :premises (@p8376 @p8366) :args (@t4879)) % 1.33/1.57 (step @p8378 :rule bool-eq-true :args (tptp.quantDeMorgan1)) % 1.33/1.57 (step @p8379 :rule symm :premises (@p8378)) % 1.33/1.57 (step @p8380 :rule refl :args (tptp.quantDeMorgan1)) % 1.33/1.57 (step @p8381 :rule cong :premises (@p8380 @p8245) :args (@t324)) % 1.33/1.57 (step @p8382 :rule trans :premises (@p8381 @p8378)) % 1.33/1.57 (step @p8383 :rule eq_resolve :premises (@p53 @p8382)) % 1.33/1.57 (step @p8384 :rule eq_resolve :premises (@p8383 @p8379)) % 1.33/1.57 (step @p8385 :rule cong :premises (@p8384 @p8377) :args (@t4880)) % 1.33/1.57 (step @p8386 :rule refl :args (@t2421)) % 1.33/1.57 (step @p8387 :rule refl :args (@t15)) % 1.33/1.57 (step @p8388 :rule cong :premises (@p8387 @p8386) :args ((= @t15 @t2421))) % 1.33/1.57 (step @p8389 :rule symm :premises (@p8388)) % 1.33/1.57 (step @p8390 :rule eq_resolve :premises (@p8387 @p8389)) % 1.33/1.57 (step @p8391 :rule cong :premises (@p8390) :args (@t16)) % 1.33/1.57 (step @p8392 :rule nary_cong :premises (@p8391 @p4153) :args (@t4881)) % 1.33/1.57 (step @p8393 :rule cong :premises (@p8392) :args ((forall @t314 @t4881))) % 1.33/1.57 (step @p8394 :rule bool-impl-elim :args (@t15 @t144)) % 1.33/1.57 (step @p8395 :rule cong :premises (@p8394) :args (@t315)) % 1.33/1.57 (step @p8396 :rule trans :premises (@p8395 @p8393)) % 1.33/1.57 (step @p8397 :rule refl :args (tptp.vacuousDall)) % 1.33/1.57 (step @p8398 :rule cong :premises (@p8397 @p8396) :args (@t316)) % 1.33/1.57 (step @p8399 :rule eq_resolve :premises (@p52 @p8398)) % 1.33/1.57 (step @p8400 :rule cong :premises (@p8399 @p8385) :args (@t4882)) % 1.33/1.57 (step @p8401 :rule aci_norm :args ((= @t4884 @t2429))) % 1.33/1.57 (step @p8402 :rule cong :premises (@p8401) :args (@t4885)) % 1.33/1.57 (step @p8403 :rule quant-merge-prenex :args ((= (forall @t311 @t4887) @t4885))) % 1.33/1.57 (step @p8404 :rule refl :args (@t2428)) % 1.33/1.57 (step @p8405 :rule alpha_equiv :args (@t4888 (@list @t2425) @t2902)) % 1.33/1.57 (step @p8406 :rule nary_cong :premises (@p8405 @p8404) :args (@t4889)) % 1.33/1.57 (step @p8407 :rule quant-miniscope-or :args ((= @t4887 @t4889))) % 1.33/1.57 (step @p8408 :rule trans :premises (@p8407 @p8406)) % 1.33/1.57 (step @p8409 :rule symm :premises (@p8408)) % 1.33/1.57 (step @p8410 :rule cong :premises (@p8409) :args ((forall @t311 (or @t2174 @t2428)))) % 1.33/1.57 (step @p8411 :rule trans :premises (@p8410 @p8403)) % 1.33/1.57 (step @p8412 :rule trans :premises (@p8411 @p8402)) % 1.33/1.57 (step @p8413 :rule cong :premises (@p270 @p4124) :args (@t4890)) % 1.33/1.57 (step @p8414 :rule cong :premises (@p8413) :args (@t4891)) % 1.33/1.57 (step @p8415 :rule nary_cong :premises (@p5530 @p8414) :args (@t4892)) % 1.33/1.57 (step @p8416 :rule cong :premises (@p8415) :args ((forall @t311 @t4892))) % 1.33/1.57 (step @p8417 :rule trans :premises (@p8416 @p8412)) % 1.33/1.57 (step @p8418 :rule cong :premises (@p317 @p4156) :args (@t4893)) % 1.33/1.57 (step @p8419 :rule cong :premises (@p8418) :args (@t4894)) % 1.33/1.57 (step @p8420 :rule nary_cong :premises (@p5535 @p8419) :args (@t4895)) % 1.33/1.57 (step @p8421 :rule cong :premises (@p8420) :args ((forall @t311 @t4895))) % 1.33/1.57 (step @p8422 :rule trans :premises (@p8421 @p8417)) % 1.33/1.57 (step @p8423 :rule refl :args (@t4894)) % 1.33/1.57 (step @p8424 :rule nary_cong :premises (@p5540 @p8423) :args ((or @t4262 @t4894))) % 1.33/1.57 (step @p8425 :rule bool-impl-elim :args (@t2175 @t4894)) % 1.33/1.57 (step @p8426 :rule trans :premises (@p8425 @p8424)) % 1.33/1.57 (step @p8427 :rule cong :premises (@p8426) :args ((forall @t311 (=> @t2175 @t4894)))) % 1.33/1.57 (step @p8428 :rule trans :premises (@p8427 @p8422)) % 1.33/1.57 (step @p8429 :rule eq-symm :args (@t306 tptp.emptyset)) % 1.33/1.57 (step @p8430 :rule cong :premises (@p8429) :args ((not @t307))) % 1.33/1.57 (step @p8431 :rule bool-impl-false1 :args (@t307)) % 1.33/1.57 (step @p8432 :rule trans :premises (@p8431 @p8430)) % 1.33/1.57 (step @p8433 :rule cong :premises (@p5557 @p8432) :args (@t310)) % 1.33/1.57 (step @p8434 :rule cong :premises (@p8433) :args (@t312)) % 1.33/1.57 (step @p8435 :rule trans :premises (@p8434 @p8428)) % 1.33/1.57 (step @p8436 :rule refl :args (tptp.emptyE1)) % 1.33/1.57 (step @p8437 :rule cong :premises (@p8436 @p8435) :args (@t313)) % 1.33/1.57 (step @p8438 :rule eq_resolve :premises (@p51 @p8437)) % 1.33/1.57 (step @p8439 :rule cong :premises (@p8438 @p8400) :args (@t4896)) % 1.33/1.57 (step @p8440 :rule refl :args (tptp.upairsetIR)) % 1.33/1.57 (step @p8441 :rule cong :premises (@p8440 @p6309) :args (@t305)) % 1.33/1.57 (step @p8442 :rule eq_resolve :premises (@p50 @p8441)) % 1.33/1.57 (step @p8443 :rule cong :premises (@p8442 @p8439) :args (@t4897)) % 1.33/1.57 (step @p8444 :rule refl :args ((tptp.in @t4 @t293))) % 1.33/1.57 (step @p8445 :rule cong :premises (@p874 @p2469) :args (@t2434)) % 1.33/1.57 (step @p8446 :rule trans :premises (@p8445 @p8444)) % 1.33/1.57 (step @p8447 :rule ho_cong :premises (@p877 @p2469)) % 1.33/1.57 (step @p8448 :rule cong :premises (@p8447 @p8446) :args ((= (_ @t5 @t2119) @t2434))) % 1.33/1.57 (step @p8449 :rule symm :premises (@p8448)) % 1.33/1.57 (step @p8450 :rule refl :args (@t300)) % 1.33/1.57 (step @p8451 :rule eq_resolve :premises (@p8450 @p8449)) % 1.33/1.57 (step @p8452 :rule ho_cong :premises (@p877 @p2490)) % 1.33/1.57 (step @p8453 :rule trans :premises (@p8452 @p8451)) % 1.33/1.57 (step @p8454 :rule cong :premises (@p8453) :args (@t301)) % 1.33/1.57 (step @p8455 :rule refl :args (tptp.upairsetIL)) % 1.33/1.57 (step @p8456 :rule cong :premises (@p8455 @p8454) :args (@t302)) % 1.33/1.57 (step @p8457 :rule eq_resolve :premises (@p49 @p8456)) % 1.33/1.57 (step @p8458 :rule cong :premises (@p8457 @p8443) :args (@t4898)) % 1.33/1.57 (step @p8459 :rule refl :args (tptp.upairsetE)) % 1.33/1.57 (step @p8460 :rule cong :premises (@p8459 @p6160) :args (@t299)) % 1.33/1.57 (step @p8461 :rule eq_resolve :premises (@p48 @p8460)) % 1.33/1.57 (step @p8462 :rule cong :premises (@p8461 @p8458) :args (@t4899)) % 1.33/1.57 (step @p8463 :rule refl :args ((tptp.in @t19 @t279))) % 1.33/1.57 (step @p8464 :rule cong :premises (@p2561 @p2898) :args (@t2438)) % 1.33/1.57 (step @p8465 :rule trans :premises (@p8464 @p8463)) % 1.33/1.57 (step @p8466 :rule ho_cong :premises (@p3190 @p2898)) % 1.33/1.57 (step @p8467 :rule cong :premises (@p8466 @p8465) :args ((= (_ @t20 @t1864) @t2438))) % 1.33/1.57 (step @p8468 :rule symm :premises (@p8467)) % 1.33/1.57 (step @p8469 :rule refl :args (@t280)) % 1.33/1.57 (step @p8470 :rule eq_resolve :premises (@p8469 @p8468)) % 1.33/1.57 (step @p8471 :rule ho_cong :premises (@p3190 @p2902)) % 1.33/1.57 (step @p8472 :rule trans :premises (@p8471 @p8470)) % 1.33/1.57 (step @p8473 :rule refl :args ((tptp.in @t4 @t275))) % 1.33/1.57 (step @p8474 :rule cong :premises (@p874 @p2467) :args (@t2439)) % 1.33/1.57 (step @p8475 :rule trans :premises (@p8474 @p8473)) % 1.33/1.57 (step @p8476 :rule ho_cong :premises (@p877 @p2467)) % 1.33/1.57 (step @p8477 :rule cong :premises (@p8476 @p8475) :args ((= (_ @t5 @t2118) @t2439))) % 1.33/1.57 (step @p8478 :rule symm :premises (@p8477)) % 1.33/1.57 (step @p8479 :rule refl :args (@t276)) % 1.33/1.57 (step @p8480 :rule eq_resolve :premises (@p8479 @p8478)) % 1.33/1.57 (step @p8481 :rule ho_cong :premises (@p877 @p2488)) % 1.33/1.57 (step @p8482 :rule trans :premises (@p8481 @p8480)) % 1.33/1.57 (step @p8483 :rule cong :premises (@p8482) :args (@t4900)) % 1.33/1.57 (step @p8484 :rule nary_cong :premises (@p8483 @p8472) :args (@t4901)) % 1.33/1.57 (step @p8485 :rule cong :premises (@p8484) :args ((forall @t135 @t4901))) % 1.33/1.57 (step @p8486 :rule bool-impl-elim :args (@t276 @t280)) % 1.33/1.57 (step @p8487 :rule cong :premises (@p8486) :args (@t287)) % 1.33/1.57 (step @p8488 :rule trans :premises (@p8487 @p8485)) % 1.33/1.57 (step @p8489 :rule refl :args (tptp.singletonsswitch)) % 1.33/1.57 (step @p8490 :rule cong :premises (@p8489 @p8488) :args (@t288)) % 1.33/1.57 (step @p8491 :rule eq_resolve :premises (@p47 @p8490)) % 1.33/1.57 (step @p8492 :rule cong :premises (@p8491 @p8462) :args (@t4902)) % 1.33/1.57 (step @p8493 :rule aci_norm :args ((= (or false @t2443) @t2443))) % 1.33/1.57 (step @p8494 :rule refl :args (@t2443)) % 1.33/1.57 (step @p8495 :rule nary_cong :premises (@p5302 @p8494) :args (@t4903)) % 1.33/1.57 (step @p8496 :rule trans :premises (@p8495 @p8493)) % 1.33/1.57 (step @p8497 :rule cong :premises (@p8496) :args ((forall @t70 @t4903))) % 1.33/1.57 (step @p8498 :rule quant-var-elim-eq :args ((= (forall @t9 @t4904) @t4903))) % 1.33/1.57 (step @p8499 :rule aci_norm :args ((= @t4905 @t4904))) % 1.33/1.57 (step @p8500 :rule cong :premises (@p8499) :args (@t4906)) % 1.33/1.57 (step @p8501 :rule trans :premises (@p8500 @p8498)) % 1.33/1.57 (step @p8502 :rule cong :premises (@p8501) :args (@t4907)) % 1.33/1.57 (step @p8503 :rule quant-merge-prenex :args ((= @t4907 @t4908))) % 1.33/1.57 (step @p8504 :rule symm :premises (@p8503)) % 1.33/1.57 (step @p8505 :rule quant_var_reordering :args ((= (forall @t135 @t4905) @t4908))) % 1.33/1.57 (step @p8506 :rule trans :premises (@p8505 @p8504 @p8502)) % 1.33/1.57 (step @p8507 :rule trans :premises (@p8506 @p8497)) % 1.33/1.57 (step @p8508 :rule nary_cong :premises (@p5327 @p8482) :args (@t4909)) % 1.33/1.57 (step @p8509 :rule cong :premises (@p8508) :args ((forall @t135 @t4909))) % 1.33/1.57 (step @p8510 :rule trans :premises (@p8509 @p8507)) % 1.33/1.57 (step @p8511 :rule bool-impl-elim :args (@t129 @t276)) % 1.33/1.57 (step @p8512 :rule cong :premises (@p8511) :args (@t285)) % 1.33/1.57 (step @p8513 :rule trans :premises (@p8512 @p8510)) % 1.33/1.57 (step @p8514 :rule refl :args (tptp.eqinunit)) % 1.33/1.57 (step @p8515 :rule cong :premises (@p8514 @p8513) :args (@t286)) % 1.33/1.57 (step @p8516 :rule eq_resolve :premises (@p46 @p8515)) % 1.33/1.57 (step @p8517 :rule cong :premises (@p8516 @p8492) :args (@t4910)) % 1.33/1.57 (step @p8518 :rule cong :premises (@p8472) :args (@t281)) % 1.33/1.57 (step @p8519 :rule nary_cong :premises (@p4188 @p8518) :args (@t4911)) % 1.33/1.57 (step @p8520 :rule cong :premises (@p8519) :args ((forall @t135 @t4911))) % 1.33/1.57 (step @p8521 :rule refl :args (@t281)) % 1.33/1.57 (step @p8522 :rule bool-double-not-elim :args (@t129)) % 1.33/1.57 (step @p8523 :rule nary_cong :premises (@p8522 @p8521) :args ((or (not @t282) @t281))) % 1.33/1.57 (step @p8524 :rule bool-impl-elim :args (@t282 @t281)) % 1.33/1.57 (step @p8525 :rule trans :premises (@p8524 @p8523)) % 1.33/1.57 (step @p8526 :rule cong :premises (@p8525) :args (@t283)) % 1.33/1.57 (step @p8527 :rule trans :premises (@p8526 @p8520)) % 1.33/1.57 (step @p8528 :rule refl :args (tptp.notinsingleton)) % 1.33/1.57 (step @p8529 :rule cong :premises (@p8528 @p8527) :args (@t284)) % 1.33/1.57 (step @p8530 :rule eq_resolve :premises (@p45 @p8529)) % 1.33/1.57 (step @p8531 :rule cong :premises (@p8530 @p8517) :args (@t4912)) % 1.33/1.57 (step @p8532 :rule nary_cong :premises (@p8483 @p4188) :args (@t4913)) % 1.33/1.57 (step @p8533 :rule cong :premises (@p8532) :args ((forall @t135 @t4913))) % 1.33/1.57 (step @p8534 :rule bool-impl-elim :args (@t276 @t129)) % 1.33/1.57 (step @p8535 :rule cong :premises (@p8534) :args (@t277)) % 1.33/1.57 (step @p8536 :rule trans :premises (@p8535 @p8533)) % 1.33/1.57 (step @p8537 :rule refl :args (tptp.uniqinunit)) % 1.33/1.57 (step @p8538 :rule cong :premises (@p8537 @p8536) :args (@t278)) % 1.33/1.57 (step @p8539 :rule eq_resolve :premises (@p44 @p8538)) % 1.33/1.57 (step @p8540 :rule cong :premises (@p8539 @p8531) :args (@t4914)) % 1.33/1.57 (step @p8541 :rule refl :args (@t2451)) % 1.33/1.57 (step @p8542 :rule bool-double-not-elim :args (@t196)) % 1.33/1.57 (step @p8543 :rule nary_cong :premises (@p8542 @p8541) :args ((or (not @t4915) @t2451))) % 1.33/1.57 (step @p8544 :rule bool-impl-elim :args (@t4915 @t2451)) % 1.33/1.57 (step @p8545 :rule trans :premises (@p8544 @p8543)) % 1.33/1.57 (step @p8546 :rule cong :premises (@p8545) :args ((forall @t64 (=> @t4915 @t2451)))) % 1.33/1.57 (step @p8547 :rule cong :premises (@p910) :args (@t198)) % 1.33/1.57 (step @p8548 :rule cong :premises (@p8547) :args (@t4916)) % 1.33/1.57 (step @p8549 :rule exists-elim :args ((= @t89 @t4916))) % 1.33/1.57 (step @p8550 :rule trans :premises (@p8549 @p8548)) % 1.33/1.57 (step @p8551 :rule aci_norm :args ((= @t269 @t7))) % 1.33/1.57 (step @p8552 :rule cong :premises (@p8551) :args (@t270)) % 1.33/1.57 (step @p8553 :rule trans :premises (@p8552 @p8550)) % 1.33/1.57 (step @p8554 :rule beta-reduce :args ((= @t4917 @t4915))) % 1.33/1.57 (step @p8555 :rule cong :premises (@p8554 @p8553) :args (@t4918)) % 1.33/1.57 (step @p8556 :rule cong :premises (@p8555) :args (@t4919)) % 1.33/1.57 (step @p8557 :rule trans :premises (@p8556 @p8546)) % 1.33/1.57 (step @p8558 :rule refl :args (tptp.nonemptyImpWitness)) % 1.33/1.57 (step @p8559 :rule cong :premises (@p8558 @p8557) :args ((= tptp.nonemptyImpWitness @t4919))) % 1.33/1.57 (step @p8560 :rule refl :args (@t270)) % 1.33/1.57 (step @p8561 :rule ho_cong :premises (@p261 @p2773)) % 1.33/1.57 (step @p8562 :rule cong :premises (@p8561 @p8560) :args (@t271)) % 1.33/1.57 (step @p8563 :rule cong :premises (@p8562) :args (@t272)) % 1.33/1.57 (step @p8564 :rule cong :premises (@p8558 @p8563) :args (@t273)) % 1.33/1.57 (step @p8565 :rule trans :premises (@p8564 @p8559)) % 1.33/1.57 (step @p8566 :rule eq_resolve :premises (@p43 @p8565)) % 1.33/1.57 (step @p8567 :rule cong :premises (@p8566 @p8540) :args (@t4920)) % 1.33/1.57 (step @p8568 :rule eq-symm :args (@t2454 @t19)) % 1.33/1.57 (step @p8569 :rule nary_cong :premises (@p7572 @p8568) :args (@t4921)) % 1.33/1.57 (step @p8570 :rule cong :premises (@p8569) :args (@t4922)) % 1.33/1.57 (step @p8571 :rule cong :premises (@p8570) :args (@t4923)) % 1.33/1.57 (step @p8572 :rule refl :args (@t2455)) % 1.33/1.57 (step @p8573 :rule refl :args (@t2458)) % 1.33/1.57 (step @p8574 :rule nary_cong :premises (@p8573 @p8572 @p8571) :args (@t4924)) % 1.33/1.57 (step @p8575 :rule aci_norm :args ((= @t4926 @t4924))) % 1.33/1.57 (step @p8576 :rule trans :premises (@p8575 @p8574)) % 1.33/1.57 (step @p8577 :rule cong :premises (@p8576) :args (@t4927)) % 1.33/1.57 (step @p8578 :rule quant-merge-prenex :args ((= (forall @t150 @t4929) @t4927))) % 1.33/1.57 (step @p8579 :rule refl :args (@t2458)) % 1.33/1.57 (step @p8580 :rule alpha_equiv :args (@t4930 (@list @t2454) @t2902)) % 1.33/1.57 (step @p8581 :rule nary_cong :premises (@p8580 @p8579) :args (@t4931)) % 1.33/1.57 (step @p8582 :rule quant-miniscope-or :args ((= @t4929 @t4931))) % 1.33/1.57 (step @p8583 :rule trans :premises (@p8582 @p8581)) % 1.33/1.57 (step @p8584 :rule symm :premises (@p8583)) % 1.33/1.57 (step @p8585 :rule cong :premises (@p8584) :args ((forall @t150 (or @t2402 @t2458)))) % 1.33/1.57 (step @p8586 :rule trans :premises (@p8585 @p8578)) % 1.33/1.57 (step @p8587 :rule trans :premises (@p8586 @p8577)) % 1.33/1.57 (step @p8588 :rule nary_cong :premises (@p7640 @p8579) :args ((or @t4659 @t2458))) % 1.33/1.57 (step @p8589 :rule bool-impl-elim :args (@t2403 @t2458)) % 1.33/1.57 (step @p8590 :rule trans :premises (@p8589 @p8588)) % 1.33/1.57 (step @p8591 :rule cong :premises (@p8590) :args ((forall @t150 (=> @t2403 @t2458)))) % 1.33/1.57 (step @p8592 :rule trans :premises (@p8591 @p8587)) % 1.33/1.57 (step @p8593 :rule cong :premises (@p7692 @p8135) :args (@t4932)) % 1.33/1.57 (step @p8594 :rule cong :premises (@p8593) :args (@t4933)) % 1.33/1.57 (step @p8595 :rule trans :premises (@p8594 @p8592)) % 1.33/1.57 (step @p8596 :rule refl :args (tptp.exuE2)) % 1.33/1.57 (step @p8597 :rule cong :premises (@p8596 @p8595) :args ((= tptp.exuE2 @t4933))) % 1.33/1.57 (step @p8598 :rule cong :premises (@p7735 @p8141) :args (@t266)) % 1.33/1.57 (step @p8599 :rule cong :premises (@p8598) :args (@t267)) % 1.33/1.57 (step @p8600 :rule cong :premises (@p8596 @p8599) :args (@t268)) % 1.33/1.57 (step @p8601 :rule trans :premises (@p8600 @p8597)) % 1.33/1.57 (step @p8602 :rule eq_resolve :premises (@p42 @p8601)) % 1.33/1.57 (step @p8603 :rule cong :premises (@p8602 @p8567) :args (@t4934)) % 1.33/1.57 (step @p8604 :rule refl :args ((tptp.in @t4 @t259))) % 1.33/1.57 (step @p8605 :rule refl :args ((tptp.powerset @t43))) % 1.33/1.57 (step @p8606 :rule cong :premises (@p5770) :args (@t2462)) % 1.33/1.57 (step @p8607 :rule trans :premises (@p8606 @p8605)) % 1.33/1.57 (step @p8608 :rule cong :premises (@p874 @p8607) :args (@t2463)) % 1.33/1.57 (step @p8609 :rule trans :premises (@p8608 @p8604)) % 1.33/1.57 (step @p8610 :rule ho_cong :premises (@p877 @p8607)) % 1.33/1.57 (step @p8611 :rule cong :premises (@p8610 @p8609) :args ((= (_ @t5 @t2462) @t2463))) % 1.33/1.57 (step @p8612 :rule symm :premises (@p8611)) % 1.33/1.57 (step @p8613 :rule refl :args (@t260)) % 1.33/1.57 (step @p8614 :rule eq_resolve :premises (@p8613 @p8612)) % 1.33/1.57 (step @p8615 :rule ho_cong :premises (@p1262 @p5770)) % 1.33/1.57 (step @p8616 :rule cong :premises (@p8615 @p8607) :args ((= (_ tptp.powerset @t2187) @t2462))) % 1.33/1.57 (step @p8617 :rule symm :premises (@p8616)) % 1.33/1.57 (step @p8618 :rule refl :args (@t259)) % 1.33/1.57 (step @p8619 :rule eq_resolve :premises (@p8618 @p8617)) % 1.33/1.57 (step @p8620 :rule ho_cong :premises (@p1262 @p5781)) % 1.33/1.57 (step @p8621 :rule trans :premises (@p8620 @p8619)) % 1.33/1.57 (step @p8622 :rule ho_cong :premises (@p877 @p8621)) % 1.33/1.57 (step @p8623 :rule trans :premises (@p8622 @p8614)) % 1.33/1.57 (step @p8624 :rule nary_cong :premises (@p910 @p8623) :args (@t4935)) % 1.33/1.57 (step @p8625 :rule cong :premises (@p8624) :args ((forall @t46 @t4935))) % 1.33/1.57 (step @p8626 :rule bool-impl-elim :args (@t7 @t260)) % 1.33/1.57 (step @p8627 :rule cong :premises (@p8626) :args (@t261)) % 1.33/1.57 (step @p8628 :rule trans :premises (@p8627 @p8625)) % 1.33/1.57 (step @p8629 :rule refl :args (tptp.subPowSU)) % 1.33/1.57 (step @p8630 :rule cong :premises (@p8629 @p8628) :args (@t262)) % 1.33/1.57 (step @p8631 :rule eq_resolve :premises (@p41 @p8630)) % 1.33/1.57 (step @p8632 :rule cong :premises (@p8631 @p8603) :args (@t4936)) % 1.33/1.57 (step @p8633 :rule refl :args (@t2469)) % 1.33/1.57 (step @p8634 :rule nary_cong :premises (@p5784 @p8633) :args (@t4937)) % 1.33/1.57 (step @p8635 :rule cong :premises (@p8634) :args ((forall @t46 @t4937))) % 1.33/1.57 (step @p8636 :rule bool-impl-elim :args (@t44 @t2469)) % 1.33/1.57 (step @p8637 :rule cong :premises (@p8636) :args ((forall @t46 (=> @t44 @t2469)))) % 1.33/1.57 (step @p8638 :rule trans :premises (@p8637 @p8635)) % 1.33/1.57 (step @p8639 :rule aci_norm :args ((= (and true @t2469) @t2469))) % 1.33/1.57 (step @p8640 :rule refl :args (@t2469)) % 1.33/1.57 (step @p8641 :rule nary_cong :premises (@p3035 @p8640) :args (@t4938)) % 1.33/1.57 (step @p8642 :rule trans :premises (@p8641 @p8639)) % 1.33/1.57 (step @p8643 :rule aci_norm :args ((= @t4939 @t4938))) % 1.33/1.57 (step @p8644 :rule trans :premises (@p8643 @p8642)) % 1.33/1.57 (step @p8645 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3429 @t4940 @t173)) @t4939))) % 1.33/1.57 (step @p8646 :rule refl :args (@t4940)) % 1.33/1.57 (step @p8647 :rule nary_cong :premises (@p2528 @p8646 @p2522) :args (@t4941)) % 1.33/1.57 (step @p8648 :rule aci_norm :args ((= @t4942 @t4941))) % 1.33/1.57 (step @p8649 :rule trans :premises (@p8648 @p8647)) % 1.33/1.57 (step @p8650 :rule cong :premises (@p8649) :args ((forall @t179 @t4942))) % 1.33/1.57 (step @p8651 :rule trans :premises (@p8650 @p8645)) % 1.33/1.57 (step @p8652 :rule trans :premises (@p8651 @p8644)) % 1.33/1.57 (step @p8653 :rule bool-or-de-morgan :args (@t173 @t2468 false)) % 1.33/1.57 (step @p8654 :rule nary_cong :premises (@p8653 @p2522) :args ((or (not @t4943) @t173))) % 1.33/1.57 (step @p8655 :rule bool-impl-elim :args (@t4943 @t173)) % 1.33/1.57 (step @p8656 :rule trans :premises (@p8655 @p8654)) % 1.33/1.57 (step @p8657 :rule cong :premises (@p8656) :args ((forall @t179 (=> @t4943 @t173)))) % 1.33/1.57 (step @p8658 :rule trans :premises (@p8657 @p8652)) % 1.33/1.57 (step @p8659 :rule refl :args (@t2466)) % 1.33/1.57 (step @p8660 :rule refl :args (@t39)) % 1.33/1.57 (step @p8661 :rule cong :premises (@p8660 @p8659) :args ((= @t39 @t2466))) % 1.33/1.57 (step @p8662 :rule symm :premises (@p8661)) % 1.33/1.57 (step @p8663 :rule eq_resolve :premises (@p8660 @p8662)) % 1.33/1.57 (step @p8664 :rule cong :premises (@p8663) :args (@t4944)) % 1.33/1.57 (step @p8665 :rule nary_cong :premises (@p6359 @p8664) :args (@t4945)) % 1.33/1.57 (step @p8666 :rule cong :premises (@p8665) :args (@t4946)) % 1.33/1.57 (step @p8667 :rule nary_cong :premises (@p2565 @p8666) :args (@t4947)) % 1.33/1.57 (step @p8668 :rule quant-miniscope-or :args ((= (forall @t41 @t4948) @t4947))) % 1.33/1.57 (step @p8669 :rule aci_norm :args ((= @t4949 @t4948))) % 1.33/1.57 (step @p8670 :rule cong :premises (@p8669) :args ((forall @t41 @t4949))) % 1.33/1.57 (step @p8671 :rule trans :premises (@p8670 @p8668)) % 1.33/1.57 (step @p8672 :rule trans :premises (@p8671 @p8667)) % 1.33/1.57 (step @p8673 :rule aci_norm :args ((= (or @t437 (or @t4944 @t173)) @t4949))) % 1.33/1.57 (step @p8674 :rule bool-impl-elim :args (@t39 @t173)) % 1.33/1.57 (step @p8675 :rule refl :args (@t437)) % 1.33/1.57 (step @p8676 :rule nary_cong :premises (@p8675 @p8674) :args ((or @t437 @t252))) % 1.33/1.57 (step @p8677 :rule trans :premises (@p8676 @p8673)) % 1.33/1.57 (step @p8678 :rule bool-impl-elim :args (@t6 @t252)) % 1.33/1.57 (step @p8679 :rule trans :premises (@p8678 @p8677)) % 1.33/1.57 (step @p8680 :rule cong :premises (@p8679) :args (@t253)) % 1.33/1.57 (step @p8681 :rule trans :premises (@p8680 @p8672)) % 1.33/1.57 (step @p8682 :rule cong :premises (@p8681 @p2565) :args (@t254)) % 1.33/1.57 (step @p8683 :rule cong :premises (@p8682) :args (@t255)) % 1.33/1.57 (step @p8684 :rule trans :premises (@p8683 @p8658)) % 1.33/1.57 (step @p8685 :rule cong :premises (@p5804 @p8684) :args (@t256)) % 1.33/1.57 (step @p8686 :rule cong :premises (@p8685) :args (@t257)) % 1.33/1.57 (step @p8687 :rule trans :premises (@p8686 @p8638)) % 1.33/1.57 (step @p8688 :rule refl :args (tptp.setunionE)) % 1.33/1.57 (step @p8689 :rule cong :premises (@p8688 @p8687) :args (@t258)) % 1.33/1.57 (step @p8690 :rule eq_resolve :premises (@p40 @p8689)) % 1.33/1.57 (step @p8691 :rule cong :premises (@p8690 @p8632) :args (@t4950)) % 1.33/1.57 (step @p8692 :rule nary_cong :premises (@p6359 @p8664 @p5783) :args (@t4951)) % 1.33/1.57 (step @p8693 :rule cong :premises (@p8692) :args ((forall @t249 @t4951))) % 1.33/1.57 (step @p8694 :rule aci_norm :args ((= (or @t437 (or @t4944 @t44)) @t4951))) % 1.33/1.57 (step @p8695 :rule bool-impl-elim :args (@t39 @t44)) % 1.33/1.57 (step @p8696 :rule nary_cong :premises (@p8675 @p8695) :args ((or @t437 @t248))) % 1.33/1.57 (step @p8697 :rule trans :premises (@p8696 @p8694)) % 1.33/1.57 (step @p8698 :rule bool-impl-elim :args (@t6 @t248)) % 1.33/1.57 (step @p8699 :rule trans :premises (@p8698 @p8697)) % 1.33/1.57 (step @p8700 :rule cong :premises (@p8699) :args (@t250)) % 1.33/1.57 (step @p8701 :rule trans :premises (@p8700 @p8693)) % 1.33/1.57 (step @p8702 :rule refl :args (tptp.setunionI)) % 1.33/1.57 (step @p8703 :rule cong :premises (@p8702 @p8701) :args (@t251)) % 1.33/1.57 (step @p8704 :rule eq_resolve :premises (@p39 @p8703)) % 1.33/1.57 (step @p8705 :rule cong :premises (@p8704 @p8691) :args (@t4952)) % 1.33/1.57 (step @p8706 :rule nary_cong :premises (@p7100 @p6359 @p909) :args (@t4953)) % 1.33/1.57 (step @p8707 :rule cong :premises (@p8706) :args ((forall @t245 @t4953))) % 1.33/1.57 (step @p8708 :rule aci_norm :args ((= (or @t4535 @t4954) @t4953))) % 1.33/1.57 (step @p8709 :rule bool-impl-elim :args (@t6 @t7)) % 1.33/1.57 (step @p8710 :rule refl :args (@t4535)) % 1.33/1.57 (step @p8711 :rule nary_cong :premises (@p8710 @p8709) :args ((or @t4535 @t31))) % 1.33/1.57 (step @p8712 :rule trans :premises (@p8711 @p8708)) % 1.33/1.57 (step @p8713 :rule bool-impl-elim :args (@t35 @t31)) % 1.33/1.57 (step @p8714 :rule trans :premises (@p8713 @p8712)) % 1.33/1.57 (step @p8715 :rule cong :premises (@p8714) :args (@t246)) % 1.33/1.57 (step @p8716 :rule trans :premises (@p8715 @p8707)) % 1.33/1.57 (step @p8717 :rule refl :args (tptp.powersetE)) % 1.33/1.57 (step @p8718 :rule cong :premises (@p8717 @p8716) :args (@t247)) % 1.33/1.57 (step @p8719 :rule eq_resolve :premises (@p38 @p8718)) % 1.33/1.57 (step @p8720 :rule cong :premises (@p8719 @p8705) :args (@t4955)) % 1.33/1.57 (step @p8721 :rule eq-symm :args (@t2477 tptp.emptyInPowerset)) % 1.33/1.57 (step @p8722 :rule refl :args (tptp.emptyInPowerset)) % 1.33/1.57 (step @p8723 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 1.33/1.57 (step @p8724 :rule cong :premises (@p317 @p785) :args (@t2476)) % 1.33/1.57 (step @p8725 :rule trans :premises (@p8724 @p8723)) % 1.33/1.57 (step @p8726 :rule ho_cong :premises (@p320 @p785)) % 1.33/1.57 (step @p8727 :rule cong :premises (@p8726 @p8725) :args ((= (_ @t49 @t1632) @t2476))) % 1.33/1.57 (step @p8728 :rule symm :premises (@p8727)) % 1.33/1.57 (step @p8729 :rule refl :args (@t242)) % 1.33/1.57 (step @p8730 :rule eq_resolve :premises (@p8729 @p8728)) % 1.33/1.57 (step @p8731 :rule ho_cong :premises (@p320 @p798)) % 1.33/1.57 (step @p8732 :rule trans :premises (@p8731 @p8730)) % 1.33/1.57 (step @p8733 :rule cong :premises (@p8732) :args (@t243)) % 1.33/1.57 (step @p8734 :rule cong :premises (@p8733 @p8722) :args ((= @t243 tptp.emptyInPowerset))) % 1.33/1.57 (step @p8735 :rule trans :premises (@p8734 @p8721)) % 1.33/1.57 (step @p8736 :rule eq-symm :args (tptp.emptyInPowerset @t243)) % 1.33/1.57 (step @p8737 :rule trans :premises (@p8736 @p8735)) % 1.33/1.57 (step @p8738 :rule eq_resolve :premises (@p37 @p8737)) % 1.33/1.57 (step @p8739 :rule cong :premises (@p8738 @p8720) :args (@t4956)) % 1.33/1.57 (step @p8740 :rule refl :args (tptp.emptyinPowerset)) % 1.33/1.57 (step @p8741 :rule cong :premises (@p8740 @p8733) :args (@t244)) % 1.33/1.57 (step @p8742 :rule eq_resolve :premises (@p36 @p8741)) % 1.33/1.57 (step @p8743 :rule cong :premises (@p8742 @p8739) :args (@t4957)) % 1.33/1.57 (step @p8744 :rule refl :args (@t2481)) % 1.33/1.57 (step @p8745 :rule nary_cong :premises (@p8744 @p7099) :args (@t4958)) % 1.33/1.57 (step @p8746 :rule cong :premises (@p8745) :args ((forall @t12 @t4958))) % 1.33/1.57 (step @p8747 :rule bool-impl-elim :args (@t2480 @t35)) % 1.33/1.57 (step @p8748 :rule cong :premises (@p8747) :args ((forall @t12 (=> @t2480 @t35)))) % 1.33/1.57 (step @p8749 :rule trans :premises (@p8748 @p8746)) % 1.33/1.57 (step @p8750 :rule refl :args (@t35)) % 1.33/1.57 (step @p8751 :rule nary_cong :premises (@p6359 @p909) :args (@t4954)) % 1.33/1.57 (step @p8752 :rule cong :premises (@p8751) :args ((forall @t9 @t4954))) % 1.33/1.57 (step @p8753 :rule cong :premises (@p8709) :args (@t32)) % 1.33/1.57 (step @p8754 :rule trans :premises (@p8753 @p8752)) % 1.33/1.57 (step @p8755 :rule cong :premises (@p8754 @p8750) :args (@t239)) % 1.33/1.57 (step @p8756 :rule cong :premises (@p8755) :args (@t240)) % 1.33/1.57 (step @p8757 :rule trans :premises (@p8756 @p8749)) % 1.33/1.57 (step @p8758 :rule refl :args (tptp.powersetI)) % 1.33/1.57 (step @p8759 :rule cong :premises (@p8758 @p8757) :args (@t241)) % 1.33/1.57 (step @p8760 :rule eq_resolve :premises (@p35 @p8759)) % 1.33/1.57 (step @p8761 :rule cong :premises (@p8760 @p8743) :args (@t4959)) % 1.33/1.57 (step @p8762 :rule refl :args (@t2486)) % 1.33/1.57 (step @p8763 :rule refl :args (@t2485)) % 1.33/1.57 (step @p8764 :rule cong :premises (@p1248 @p8763) :args (@t2486)) % 1.33/1.57 (step @p8765 :rule trans :premises (@p8764 @p8762)) % 1.33/1.57 (step @p8766 :rule ho_cong :premises (@p4144 @p8763)) % 1.33/1.57 (step @p8767 :rule cong :premises (@p8766 @p8765) :args ((= @t4960 @t2486))) % 1.33/1.57 (step @p8768 :rule symm :premises (@p8767)) % 1.33/1.57 (step @p8769 :rule refl :args ((_ @t155 @t2485))) % 1.33/1.57 (step @p8770 :rule eq_resolve :premises (@p8769 @p8768)) % 1.33/1.57 (step @p8771 :rule cong :premises (@p1248 @p8770) :args (@t4961)) % 1.33/1.57 (step @p8772 :rule cong :premises (@p8771) :args ((forall @t64 @t4961))) % 1.33/1.57 (step @p8773 :rule eq-symm :args (@t4960 @t2)) % 1.33/1.57 (step @p8774 :rule symm :premises (@p8763)) % 1.33/1.57 (step @p8775 :rule alpha_equiv :args (@t235 @t2902 (@list @t2484))) % 1.33/1.57 (step @p8776 :rule trans :premises (@p8775 @p8774)) % 1.33/1.57 (step @p8777 :rule ho_cong :premises (@p2824 @p8776)) % 1.33/1.57 (step @p8778 :rule cong :premises (@p8777 @p2773) :args (@t236)) % 1.33/1.57 (step @p8779 :rule trans :premises (@p8778 @p8773)) % 1.33/1.57 (step @p8780 :rule cong :premises (@p8779) :args (@t237)) % 1.33/1.57 (step @p8781 :rule trans :premises (@p8780 @p8772)) % 1.33/1.57 (step @p8782 :rule refl :args (tptp.setoftrueEq)) % 1.33/1.57 (step @p8783 :rule cong :premises (@p8782 @p8781) :args (@t238)) % 1.33/1.57 (step @p8784 :rule eq_resolve :premises (@p34 @p8783)) % 1.33/1.57 (step @p8785 :rule cong :premises (@p8784 @p8761) :args (@t4962)) % 1.33/1.57 (step @p8786 :rule refl :args ((tptp.in @t19 @t25))) % 1.33/1.57 (step @p8787 :rule cong :premises (@p2561 @p7195) :args (@t2489)) % 1.33/1.57 (step @p8788 :rule trans :premises (@p8787 @p8786)) % 1.33/1.57 (step @p8789 :rule ho_cong :premises (@p3190 @p7195)) % 1.33/1.57 (step @p8790 :rule cong :premises (@p8789 @p8788) :args ((= (_ @t20 @t2345) @t2489))) % 1.33/1.57 (step @p8791 :rule symm :premises (@p8790)) % 1.33/1.57 (step @p8792 :rule refl :args (@t26)) % 1.33/1.57 (step @p8793 :rule eq_resolve :premises (@p8792 @p8791)) % 1.33/1.57 (step @p8794 :rule ho_cong :premises (@p3190 @p7206)) % 1.33/1.57 (step @p8795 :rule trans :premises (@p8794 @p8793)) % 1.33/1.57 (step @p8796 :rule cong :premises (@p8795) :args (@t4963)) % 1.33/1.57 (step @p8797 :rule nary_cong :premises (@p8796 @p4188 @p2502) :args (@t4964)) % 1.33/1.57 (step @p8798 :rule cong :premises (@p8797) :args ((forall @t28 @t4964))) % 1.33/1.57 (step @p8799 :rule aci_norm :args ((= (or @t4963 @t4965) @t4964))) % 1.33/1.57 (step @p8800 :rule bool-impl-elim :args (@t26 @t4965)) % 1.33/1.57 (step @p8801 :rule trans :premises (@p8800 @p8799)) % 1.33/1.57 (step @p8802 :rule cong :premises (@p8801) :args ((forall @t28 (=> @t26 @t4965)))) % 1.33/1.57 (step @p8803 :rule trans :premises (@p8802 @p8798)) % 1.33/1.57 (step @p8804 :rule nary_cong :premises (@p5647 @p2587) :args (@t23)) % 1.33/1.57 (step @p8805 :rule refl :args (@t26)) % 1.33/1.57 (step @p8806 :rule cong :premises (@p8805 @p8804) :args (@t232)) % 1.33/1.57 (step @p8807 :rule cong :premises (@p8806) :args (@t233)) % 1.33/1.57 (step @p8808 :rule trans :premises (@p8807 @p8803)) % 1.33/1.57 (step @p8809 :rule refl :args (tptp.setadjoinOr)) % 1.33/1.57 (step @p8810 :rule cong :premises (@p8809 @p8808) :args (@t234)) % 1.33/1.57 (step @p8811 :rule eq_resolve :premises (@p33 @p8810)) % 1.33/1.57 (step @p8812 :rule cong :premises (@p8811 @p8785) :args (@t4966)) % 1.33/1.57 (step @p8813 :rule refl :args (@t2169)) % 1.33/1.57 (step @p8814 :rule nary_cong :premises (@p8796 @p4188 @p8813) :args (@t4967)) % 1.33/1.57 (step @p8815 :rule cong :premises (@p8814) :args ((forall @t28 @t4967))) % 1.33/1.57 (step @p8816 :rule aci_norm :args ((= (or @t4963 @t2644) @t4967))) % 1.33/1.57 (step @p8817 :rule bool-impl-elim :args (@t26 @t2644)) % 1.33/1.57 (step @p8818 :rule trans :premises (@p8817 @p8816)) % 1.33/1.57 (step @p8819 :rule cong :premises (@p8818) :args ((forall @t28 (=> @t26 @t2644)))) % 1.33/1.57 (step @p8820 :rule trans :premises (@p8819 @p8815)) % 1.33/1.57 (step @p8821 :rule aci_norm :args ((= (and @t2169 true) @t2169))) % 1.33/1.57 (step @p8822 :rule refl :args (@t2169)) % 1.33/1.57 (step @p8823 :rule nary_cong :premises (@p8822 @p3035) :args (@t4968)) % 1.33/1.57 (step @p8824 :rule trans :premises (@p8823 @p8821)) % 1.33/1.57 (step @p8825 :rule aci_norm :args ((= (and @t129 true) @t129))) % 1.33/1.57 (step @p8826 :rule nary_cong :premises (@p5361 @p3035) :args (@t4969)) % 1.33/1.57 (step @p8827 :rule trans :premises (@p8826 @p8825)) % 1.33/1.57 (step @p8828 :rule nary_cong :premises (@p8827 @p8824) :args (@t4970)) % 1.33/1.57 (step @p8829 :rule aci_norm :args ((= @t4971 @t4970))) % 1.33/1.57 (step @p8830 :rule trans :premises (@p8829 @p8828)) % 1.33/1.57 (step @p8831 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3429 @t4973 @t4972 @t173)) @t4971))) % 1.33/1.57 (step @p8832 :rule refl :args (@t4972)) % 1.33/1.57 (step @p8833 :rule refl :args (@t4973)) % 1.33/1.57 (step @p8834 :rule nary_cong :premises (@p2528 @p8833 @p8832 @p2522) :args (@t4974)) % 1.33/1.57 (step @p8835 :rule aci_norm :args ((= @t4975 @t4974))) % 1.33/1.57 (step @p8836 :rule trans :premises (@p8835 @p8834)) % 1.33/1.57 (step @p8837 :rule cong :premises (@p8836) :args ((forall @t179 @t4975))) % 1.33/1.57 (step @p8838 :rule trans :premises (@p8837 @p8831)) % 1.33/1.57 (step @p8839 :rule trans :premises (@p8838 @p8830)) % 1.33/1.57 (step @p8840 :rule nary_cong :premises (@p2502 @p2609) :args (@t4976)) % 1.33/1.57 (step @p8841 :rule nary_cong :premises (@p8833 @p8840 @p2522) :args (@t4977)) % 1.33/1.57 (step @p8842 :rule cong :premises (@p8841) :args ((forall @t179 @t4977))) % 1.33/1.57 (step @p8843 :rule trans :premises (@p8842 @p8839)) % 1.33/1.57 (step @p8844 :rule aci_norm :args ((= (or @t4973 (or @t4976 @t173)) @t4977))) % 1.33/1.57 (step @p8845 :rule bool-implies-de-morgan :args (@t21 @t173)) % 1.33/1.57 (step @p8846 :rule nary_cong :premises (@p8845 @p2522) :args ((or (not @t224) @t173))) % 1.33/1.57 (step @p8847 :rule bool-impl-elim :args (@t224 @t173)) % 1.33/1.57 (step @p8848 :rule trans :premises (@p8847 @p8846)) % 1.33/1.57 (step @p8849 :rule bool-implies-de-morgan :args (@t129 @t173)) % 1.33/1.57 (step @p8850 :rule nary_cong :premises (@p8849 @p8848) :args ((or (not @t4978) @t225))) % 1.33/1.57 (step @p8851 :rule trans :premises (@p8850 @p8844)) % 1.33/1.57 (step @p8852 :rule bool-impl-elim :args (@t4978 @t225)) % 1.33/1.57 (step @p8853 :rule trans :premises (@p8852 @p8851)) % 1.33/1.57 (step @p8854 :rule cong :premises (@p8853) :args ((forall @t179 (=> @t4978 @t225)))) % 1.33/1.57 (step @p8855 :rule trans :premises (@p8854 @p8843)) % 1.33/1.57 (step @p8856 :rule refl :args (@t225)) % 1.33/1.57 (step @p8857 :rule cong :premises (@p5647 @p2565) :args (@t226)) % 1.33/1.57 (step @p8858 :rule cong :premises (@p8857 @p8856) :args (@t227)) % 1.33/1.57 (step @p8859 :rule cong :premises (@p8858) :args (@t228)) % 1.33/1.57 (step @p8860 :rule trans :premises (@p8859 @p8855)) % 1.33/1.57 (step @p8861 :rule cong :premises (@p8805 @p8860) :args (@t229)) % 1.33/1.57 (step @p8862 :rule cong :premises (@p8861) :args (@t230)) % 1.33/1.57 (step @p8863 :rule trans :premises (@p8862 @p8820)) % 1.33/1.57 (step @p8864 :rule refl :args (tptp.setadjoinE)) % 1.33/1.57 (step @p8865 :rule cong :premises (@p8864 @p8863) :args (@t231)) % 1.33/1.57 (step @p8866 :rule eq_resolve :premises (@p32 @p8865)) % 1.33/1.57 (step @p8867 :rule cong :premises (@p8866 @p8812) :args (@t4979)) % 1.33/1.57 (step @p8868 :rule nary_cong :premises (@p2503 @p8795) :args (@t4980)) % 1.33/1.57 (step @p8869 :rule cong :premises (@p8868) :args ((forall @t28 @t4980))) % 1.33/1.57 (step @p8870 :rule bool-impl-elim :args (@t21 @t26)) % 1.33/1.57 (step @p8871 :rule cong :premises (@p8870) :args (@t222)) % 1.33/1.57 (step @p8872 :rule trans :premises (@p8871 @p8869)) % 1.33/1.57 (step @p8873 :rule refl :args (tptp.setadjoinIR)) % 1.33/1.57 (step @p8874 :rule cong :premises (@p8873 @p8872) :args (@t223)) % 1.33/1.57 (step @p8875 :rule eq_resolve :premises (@p31 @p8874)) % 1.33/1.57 (step @p8876 :rule cong :premises (@p8875 @p8867) :args (@t4981)) % 1.33/1.57 (step @p8877 :rule cong :premises (@p30 @p8876) :args (@t4982)) % 1.33/1.57 (step @p8878 :rule refl :args ((tptp.in @t4 @t216))) % 1.33/1.57 (step @p8879 :rule refl :args (@t2498)) % 1.33/1.57 (step @p8880 :rule cong :premises (@p874 @p8879) :args (@t2499)) % 1.33/1.57 (step @p8881 :rule trans :premises (@p8880 @p8878)) % 1.33/1.57 (step @p8882 :rule ho_cong :premises (@p877 @p8879)) % 1.33/1.57 (step @p8883 :rule cong :premises (@p8882 @p8881) :args ((= (_ @t5 @t2498) @t2499))) % 1.33/1.57 (step @p8884 :rule symm :premises (@p8883)) % 1.33/1.57 (step @p8885 :rule refl :args (@t217)) % 1.33/1.57 (step @p8886 :rule eq_resolve :premises (@p8885 @p8884)) % 1.33/1.57 (step @p8887 :rule refl :args (@t216)) % 1.33/1.57 (step @p8888 :rule cong :premises (@p8887 @p8879) :args ((= @t216 @t2498))) % 1.33/1.57 (step @p8889 :rule symm :premises (@p8888)) % 1.33/1.57 (step @p8890 :rule eq_resolve :premises (@p8887 @p8889)) % 1.33/1.57 (step @p8891 :rule ho_cong :premises (@p877 @p8890)) % 1.33/1.57 (step @p8892 :rule trans :premises (@p8891 @p8886)) % 1.33/1.57 (step @p8893 :rule cong :premises (@p8892) :args (@t218)) % 1.33/1.57 (step @p8894 :rule refl :args (tptp.setadjoinIL)) % 1.33/1.57 (step @p8895 :rule cong :premises (@p8894 @p8893) :args (@t219)) % 1.33/1.57 (step @p8896 :rule eq_resolve :premises (@p29 @p8895)) % 1.33/1.57 (step @p8897 :rule cong :premises (@p8896 @p8877) :args (@t4983)) % 1.33/1.57 (step @p8898 :rule aci_norm :args ((= (or @t2503 false) @t2503))) % 1.33/1.57 (step @p8899 :rule cong :premises (@p7937) :args (@t4984)) % 1.33/1.57 (step @p8900 :rule trans :premises (@p8899 @p2601)) % 1.33/1.57 (step @p8901 :rule refl :args (@t2503)) % 1.33/1.57 (step @p8902 :rule nary_cong :premises (@p8901 @p8900) :args (@t4985)) % 1.33/1.57 (step @p8903 :rule trans :premises (@p8902 @p8898)) % 1.33/1.57 (step @p8904 :rule cong :premises (@p8903) :args ((forall @t2504 @t4985))) % 1.33/1.57 (step @p8905 :rule quant-var-elim-eq :args ((= (forall @t64 @t4987) @t4985))) % 1.33/1.57 (step @p8906 :rule aci_norm :args ((= @t4988 @t4987))) % 1.33/1.57 (step @p8907 :rule cong :premises (@p8906) :args (@t4989)) % 1.33/1.57 (step @p8908 :rule trans :premises (@p8907 @p8905)) % 1.33/1.57 (step @p8909 :rule cong :premises (@p8908) :args (@t4990)) % 1.33/1.57 (step @p8910 :rule quant-merge-prenex :args ((= @t4990 @t4991))) % 1.33/1.57 (step @p8911 :rule symm :premises (@p8910)) % 1.33/1.57 (step @p8912 :rule quant_var_reordering :args ((= @t4992 @t4991))) % 1.33/1.57 (step @p8913 :rule trans :premises (@p8912 @p8911 @p8909)) % 1.33/1.57 (step @p8914 :rule trans :premises (@p8913 @p8904)) % 1.33/1.57 (step @p8915 :rule quant-merge-prenex :args ((= (forall @t64 @t4993) @t4992))) % 1.33/1.57 (step @p8916 :rule refl :args (@t4915)) % 1.33/1.57 (step @p8917 :rule alpha_equiv :args (@t4994 (@list @t2502) @t2902)) % 1.33/1.57 (step @p8918 :rule nary_cong :premises (@p8917 @p8916) :args (@t4995)) % 1.33/1.57 (step @p8919 :rule quant-miniscope-or :args ((= @t4993 @t4995))) % 1.33/1.57 (step @p8920 :rule trans :premises (@p8919 @p8918)) % 1.33/1.57 (step @p8921 :rule symm :premises (@p8920)) % 1.33/1.57 (step @p8922 :rule cong :premises (@p8921) :args ((forall @t64 (or @t2450 @t4915)))) % 1.33/1.57 (step @p8923 :rule trans :premises (@p8922 @p8915)) % 1.33/1.57 (step @p8924 :rule trans :premises (@p8923 @p8914)) % 1.33/1.57 (step @p8925 :rule bool-double-not-elim :args (@t2450)) % 1.33/1.57 (step @p8926 :rule nary_cong :premises (@p8925 @p8916) :args ((or @t4996 @t4915))) % 1.33/1.57 (step @p8927 :rule bool-impl-elim :args (@t2451 @t4915)) % 1.33/1.57 (step @p8928 :rule trans :premises (@p8927 @p8926)) % 1.33/1.57 (step @p8929 :rule cong :premises (@p8928) :args ((forall @t64 (=> @t2451 @t4915)))) % 1.33/1.57 (step @p8930 :rule trans :premises (@p8929 @p8924)) % 1.33/1.57 (step @p8931 :rule cong :premises (@p8550 @p8554) :args (@t4997)) % 1.33/1.57 (step @p8932 :rule cong :premises (@p8931) :args (@t4998)) % 1.33/1.57 (step @p8933 :rule trans :premises (@p8932 @p8930)) % 1.33/1.57 (step @p8934 :rule refl :args (tptp.nonemptyI1)) % 1.33/1.57 (step @p8935 :rule cong :premises (@p8934 @p8933) :args ((= tptp.nonemptyI1 @t4998))) % 1.33/1.57 (step @p8936 :rule refl :args (@t89)) % 1.33/1.57 (step @p8937 :rule cong :premises (@p8936 @p8561) :args (@t213)) % 1.33/1.57 (step @p8938 :rule cong :premises (@p8937) :args (@t214)) % 1.33/1.57 (step @p8939 :rule cong :premises (@p8934 @p8938) :args (@t215)) % 1.33/1.57 (step @p8940 :rule trans :premises (@p8939 @p8935)) % 1.33/1.57 (step @p8941 :rule eq_resolve :premises (@p28 @p8940)) % 1.33/1.57 (step @p8942 :rule cong :premises (@p8941 @p8897) :args (@t4999)) % 1.33/1.57 (step @p8943 :rule lambda-elim :args ((= @t5000 @t143))) % 1.33/1.57 (step @p8944 :rule cong :premises (@p2773 @p8943) :args (@t5001)) % 1.33/1.57 (step @p8945 :rule cong :premises (@p270 @p8944) :args (@t5002)) % 1.33/1.57 (step @p8946 :rule cong :premises (@p8945) :args (@t5003)) % 1.33/1.57 (step @p8947 :rule nary_cong :premises (@p2602 @p5576 @p8946) :args (@t5004)) % 1.33/1.57 (step @p8948 :rule cong :premises (@p8947) :args ((forall @t159 @t5004))) % 1.33/1.57 (step @p8949 :rule refl :args ((tptp.dsetconstr @t2 @t154))) % 1.33/1.57 (step @p8950 :rule cong :premises (@p4189) :args (@t5000)) % 1.33/1.57 (step @p8951 :rule cong :premises (@p1248 @p8950) :args (@t5001)) % 1.33/1.57 (step @p8952 :rule trans :premises (@p8951 @p8949)) % 1.33/1.57 (step @p8953 :rule ho_cong :premises (@p4144 @p8950)) % 1.33/1.57 (step @p8954 :rule cong :premises (@p8953 @p8952) :args ((= (_ @t155 @t5000) @t5001))) % 1.33/1.57 (step @p8955 :rule symm :premises (@p8954)) % 1.33/1.57 (step @p8956 :rule refl :args (@t156)) % 1.33/1.57 (step @p8957 :rule eq_resolve :premises (@p8956 @p8955)) % 1.33/1.57 (step @p8958 :rule cong :premises (@p4193) :args (@t154)) % 1.33/1.57 (step @p8959 :rule ho_cong :premises (@p4144 @p8958)) % 1.33/1.57 (step @p8960 :rule trans :premises (@p8959 @p8957)) % 1.33/1.57 (step @p8961 :rule cong :premises (@p317 @p8960) :args (@t5005)) % 1.33/1.57 (step @p8962 :rule cong :premises (@p8961) :args (@t5006)) % 1.33/1.57 (step @p8963 :rule nary_cong :premises (@p910 @p4179 @p8962) :args (@t5007)) % 1.33/1.57 (step @p8964 :rule cong :premises (@p8963) :args ((forall @t159 @t5007))) % 1.33/1.57 (step @p8965 :rule trans :premises (@p8964 @p8948)) % 1.33/1.57 (step @p8966 :rule aci_norm :args ((= (or @t197 (or @t317 @t5006)) @t5007))) % 1.33/1.57 (step @p8967 :rule bool-impl-elim :args (@t144 @t5006)) % 1.33/1.57 (step @p8968 :rule nary_cong :premises (@p915 @p8967) :args ((or @t197 @t5008))) % 1.33/1.57 (step @p8969 :rule trans :premises (@p8968 @p8966)) % 1.33/1.57 (step @p8970 :rule bool-impl-elim :args (@t7 @t5008)) % 1.33/1.57 (step @p8971 :rule trans :premises (@p8970 @p8969)) % 1.33/1.57 (step @p8972 :rule cong :premises (@p8971) :args ((forall @t159 (=> @t7 @t5008)))) % 1.33/1.57 (step @p8973 :rule trans :premises (@p8972 @p8965)) % 1.33/1.57 (step @p8974 :rule eq-symm :args (@t156 tptp.emptyset)) % 1.33/1.57 (step @p8975 :rule cong :premises (@p8974) :args (@t5009)) % 1.33/1.57 (step @p8976 :rule beta-reduce :args ((= @t5010 @t5009))) % 1.33/1.57 (step @p8977 :rule trans :premises (@p8976 @p8975)) % 1.33/1.57 (step @p8978 :rule cong :premises (@p5654 @p8977) :args (@t5011)) % 1.33/1.57 (step @p8979 :rule cong :premises (@p2509 @p8978) :args (@t5012)) % 1.33/1.57 (step @p8980 :rule cong :premises (@p8979) :args (@t5013)) % 1.33/1.57 (step @p8981 :rule trans :premises (@p8980 @p8973)) % 1.33/1.57 (step @p8982 :rule refl :args (tptp.nonemptyI)) % 1.33/1.57 (step @p8983 :rule cong :premises (@p8982 @p8981) :args ((= tptp.nonemptyI @t5013))) % 1.33/1.57 (step @p8984 :rule refl :args (@t156)) % 1.33/1.57 (step @p8985 :rule ho_cong :premises (@p261 @p8984)) % 1.33/1.57 (step @p8986 :rule cong :premises (@p5654 @p8985) :args (@t209)) % 1.33/1.57 (step @p8987 :rule cong :premises (@p2509 @p8986) :args (@t210)) % 1.33/1.57 (step @p8988 :rule cong :premises (@p8987) :args (@t211)) % 1.33/1.57 (step @p8989 :rule cong :premises (@p8982 @p8988) :args (@t212)) % 1.33/1.57 (step @p8990 :rule trans :premises (@p8989 @p8983)) % 1.33/1.57 (step @p8991 :rule eq_resolve :premises (@p27 @p8990)) % 1.33/1.57 (step @p8992 :rule cong :premises (@p8991 @p8942) :args (@t5014)) % 1.33/1.57 (step @p8993 :rule cong :premises (@p8554 @p8550) :args (@t5015)) % 1.33/1.57 (step @p8994 :rule cong :premises (@p8993) :args (@t5016)) % 1.33/1.57 (step @p8995 :rule trans :premises (@p8994 @p8546)) % 1.33/1.57 (step @p8996 :rule refl :args (tptp.nonemptyE1)) % 1.33/1.57 (step @p8997 :rule cong :premises (@p8996 @p8995) :args ((= tptp.nonemptyE1 @t5016))) % 1.33/1.57 (step @p8998 :rule cong :premises (@p8561 @p8936) :args (@t206)) % 1.33/1.57 (step @p8999 :rule cong :premises (@p8998) :args (@t207)) % 1.33/1.57 (step @p9000 :rule cong :premises (@p8996 @p8999) :args (@t208)) % 1.33/1.57 (step @p9001 :rule trans :premises (@p9000 @p8997)) % 1.33/1.57 (step @p9002 :rule eq_resolve :premises (@p26 @p9001)) % 1.33/1.57 (step @p9003 :rule cong :premises (@p9002 @p8992) :args (@t5017)) % 1.33/1.57 (step @p9004 :rule cong :premises (@p2944 @p8944) :args (@t5018)) % 1.33/1.57 (step @p9005 :rule refl :args (@t2158)) % 1.33/1.57 (step @p9006 :rule cong :premises (@p9005 @p9004) :args (@t5019)) % 1.33/1.57 (step @p9007 :rule nary_cong :premises (@p2602 @p9006) :args (@t5020)) % 1.33/1.57 (step @p9008 :rule cong :premises (@p9007) :args ((forall @t159 @t5020))) % 1.33/1.57 (step @p9009 :rule refl :args ((tptp.in @t4 @t156))) % 1.33/1.57 (step @p9010 :rule cong :premises (@p874 @p8952) :args (@t5018)) % 1.33/1.57 (step @p9011 :rule trans :premises (@p9010 @p9009)) % 1.33/1.57 (step @p9012 :rule ho_cong :premises (@p877 @p8952)) % 1.33/1.57 (step @p9013 :rule cong :premises (@p9012 @p9011) :args ((= (_ @t5 @t5001) @t5018))) % 1.33/1.57 (step @p9014 :rule symm :premises (@p9013)) % 1.33/1.57 (step @p9015 :rule refl :args (@t157)) % 1.33/1.57 (step @p9016 :rule eq_resolve :premises (@p9015 @p9014)) % 1.33/1.57 (step @p9017 :rule ho_cong :premises (@p877 @p8960)) % 1.33/1.57 (step @p9018 :rule trans :premises (@p9017 @p9016)) % 1.33/1.57 (step @p9019 :rule cong :premises (@p4153 @p9018) :args (@t5021)) % 1.33/1.57 (step @p9020 :rule nary_cong :premises (@p910 @p9019) :args (@t5022)) % 1.33/1.57 (step @p9021 :rule cong :premises (@p9020) :args ((forall @t159 @t5022))) % 1.33/1.57 (step @p9022 :rule trans :premises (@p9021 @p9008)) % 1.33/1.57 (step @p9023 :rule bool-impl-elim :args (@t7 @t5021)) % 1.33/1.57 (step @p9024 :rule cong :premises (@p9023) :args ((forall @t159 (=> @t7 @t5021)))) % 1.33/1.57 (step @p9025 :rule trans :premises (@p9024 @p9022)) % 1.33/1.57 (step @p9026 :rule eq-symm :args (@t157 @t144)) % 1.33/1.57 (step @p9027 :rule cong :premises (@p2509 @p9026) :args (@t202)) % 1.33/1.57 (step @p9028 :rule cong :premises (@p9027) :args (@t203)) % 1.33/1.57 (step @p9029 :rule trans :premises (@p9028 @p9025)) % 1.33/1.57 (step @p9030 :rule refl :args (tptp.setbeta)) % 1.33/1.57 (step @p9031 :rule cong :premises (@p9030 @p9029) :args (@t204)) % 1.33/1.57 (step @p9032 :rule eq_resolve :premises (@p25 @p9031)) % 1.33/1.57 (step @p9033 :rule cong :premises (@p9032 @p9003) :args (@t5023)) % 1.33/1.57 (step @p9034 :rule eq-symm :args (@t2513 tptp.noeltsimpempty)) % 1.33/1.57 (step @p9035 :rule refl :args (tptp.noeltsimpempty)) % 1.33/1.57 (step @p9036 :rule bool-impl-elim :args (@t2450 @t196)) % 1.33/1.57 (step @p9037 :rule cong :premises (@p9036) :args ((forall @t64 (=> @t2450 @t196)))) % 1.33/1.57 (step @p9038 :rule refl :args (@t196)) % 1.33/1.57 (step @p9039 :rule cong :premises (@p8547 @p9038) :args (@t199)) % 1.33/1.57 (step @p9040 :rule cong :premises (@p9039) :args (@t200)) % 1.33/1.57 (step @p9041 :rule trans :premises (@p9040 @p9037)) % 1.33/1.57 (step @p9042 :rule cong :premises (@p9041 @p9035) :args ((= @t200 tptp.noeltsimpempty))) % 1.33/1.57 (step @p9043 :rule trans :premises (@p9042 @p9034)) % 1.33/1.57 (step @p9044 :rule eq-symm :args (tptp.noeltsimpempty @t200)) % 1.33/1.57 (step @p9045 :rule trans :premises (@p9044 @p9043)) % 1.33/1.57 (step @p9046 :rule eq_resolve :premises (@p24 @p9045)) % 1.33/1.57 (step @p9047 :rule cong :premises (@p9046 @p9033) :args (@t5024)) % 1.33/1.57 (step @p9048 :rule refl :args (tptp.emptyI)) % 1.33/1.57 (step @p9049 :rule cong :premises (@p9048 @p9041) :args (@t201)) % 1.33/1.57 (step @p9050 :rule eq_resolve :premises (@p23 @p9049)) % 1.33/1.57 (step @p9051 :rule cong :premises (@p9050 @p9047) :args (@t5025)) % 1.33/1.57 (step @p9052 :rule aci_norm :args ((= (or @t2361 (or @t2481 @t3)) @t2516))) % 1.33/1.57 (step @p9053 :rule bool-impl-elim :args (@t2480 @t3)) % 1.33/1.57 (step @p9054 :rule nary_cong :premises (@p7375 @p9053) :args ((or @t2361 @t5026))) % 1.33/1.57 (step @p9055 :rule trans :premises (@p9054 @p9052)) % 1.33/1.57 (step @p9056 :rule bool-impl-elim :args (@t2360 @t5026)) % 1.33/1.57 (step @p9057 :rule trans :premises (@p9056 @p9055)) % 1.33/1.57 (step @p9058 :rule cong :premises (@p9057) :args ((forall @t12 (=> @t2360 @t5026)))) % 1.33/1.57 (step @p9059 :rule cong :premises (@p8754 @p7557) :args (@t190)) % 1.33/1.57 (step @p9060 :rule cong :premises (@p7384 @p9059) :args (@t193)) % 1.33/1.57 (step @p9061 :rule cong :premises (@p9060) :args (@t194)) % 1.33/1.57 (step @p9062 :rule trans :premises (@p9061 @p9058)) % 1.33/1.57 (step @p9063 :rule refl :args (tptp.setext)) % 1.33/1.57 (step @p9064 :rule cong :premises (@p9063 @p9062) :args (@t195)) % 1.33/1.57 (step @p9065 :rule eq_resolve :premises (@p22 @p9064)) % 1.33/1.57 (step @p9066 :rule cong :premises (@p9065 @p9051) :args (@t5027)) % 1.33/1.57 (step @p9067 :rule eq-symm :args (@t2519 @t19)) % 1.33/1.57 (step @p9068 :rule nary_cong :premises (@p7572 @p9067) :args (@t5028)) % 1.33/1.57 (step @p9069 :rule cong :premises (@p9068) :args (@t5029)) % 1.33/1.57 (step @p9070 :rule cong :premises (@p9069) :args (@t5030)) % 1.33/1.57 (step @p9071 :rule refl :args (@t2520)) % 1.33/1.57 (step @p9072 :rule refl :args (@t2522)) % 1.33/1.57 (step @p9073 :rule nary_cong :premises (@p9072 @p9071 @p9070) :args (@t5031)) % 1.33/1.57 (step @p9074 :rule aci_norm :args ((= @t5033 @t5031))) % 1.33/1.57 (step @p9075 :rule trans :premises (@p9074 @p9073)) % 1.33/1.57 (step @p9076 :rule cong :premises (@p9075) :args (@t5034)) % 1.33/1.57 (step @p9077 :rule quant-merge-prenex :args ((= (forall @t150 @t5036) @t5034))) % 1.33/1.57 (step @p9078 :rule refl :args (@t2522)) % 1.33/1.57 (step @p9079 :rule alpha_equiv :args (@t5037 (@list @t2519) @t2902)) % 1.33/1.57 (step @p9080 :rule nary_cong :premises (@p9079 @p9078) :args (@t5038)) % 1.33/1.57 (step @p9081 :rule quant-miniscope-or :args ((= @t5036 @t5038))) % 1.33/1.57 (step @p9082 :rule trans :premises (@p9081 @p9080)) % 1.33/1.57 (step @p9083 :rule symm :premises (@p9082)) % 1.33/1.57 (step @p9084 :rule cong :premises (@p9083) :args ((forall @t150 (or @t2402 @t2522)))) % 1.33/1.57 (step @p9085 :rule trans :premises (@p9084 @p9077)) % 1.33/1.57 (step @p9086 :rule trans :premises (@p9085 @p9076)) % 1.33/1.57 (step @p9087 :rule nary_cong :premises (@p7640 @p9078) :args ((or @t4659 @t2522))) % 1.33/1.57 (step @p9088 :rule bool-impl-elim :args (@t2403 @t2522)) % 1.33/1.57 (step @p9089 :rule trans :premises (@p9088 @p9087)) % 1.33/1.57 (step @p9090 :rule cong :premises (@p9089) :args ((forall @t150 (=> @t2403 @t2522)))) % 1.33/1.57 (step @p9091 :rule trans :premises (@p9090 @p9086)) % 1.33/1.57 (step @p9092 :rule cong :premises (@p7692 @p8174) :args (@t5039)) % 1.33/1.57 (step @p9093 :rule cong :premises (@p9092) :args (@t5040)) % 1.33/1.57 (step @p9094 :rule trans :premises (@p9093 @p9091)) % 1.33/1.57 (step @p9095 :rule refl :args (tptp.exuE3e)) % 1.33/1.57 (step @p9096 :rule cong :premises (@p9095 @p9094) :args ((= tptp.exuE3e @t5040))) % 1.33/1.57 (step @p9097 :rule cong :premises (@p7735 @p8181) :args (@t187)) % 1.33/1.57 (step @p9098 :rule cong :premises (@p9097) :args (@t188)) % 1.33/1.57 (step @p9099 :rule cong :premises (@p9095 @p9098) :args (@t189)) % 1.33/1.57 (step @p9100 :rule trans :premises (@p9099 @p9096)) % 1.33/1.57 (step @p9101 :rule eq_resolve :premises (@p21 @p9100)) % 1.33/1.57 (step @p9102 :rule cong :premises (@p9101 @p9066) :args (@t5041)) % 1.33/1.57 (step @p9103 :rule eq-symm :args (@t2526 tptp.notinemptyset)) % 1.33/1.57 (step @p9104 :rule refl :args (tptp.notinemptyset)) % 1.33/1.57 (step @p9105 :rule cong :premises (@p8391) :args (@t17)) % 1.33/1.57 (step @p9106 :rule cong :premises (@p9105 @p9104) :args ((= @t17 tptp.notinemptyset))) % 1.33/1.57 (step @p9107 :rule trans :premises (@p9106 @p9103)) % 1.33/1.57 (step @p9108 :rule eq-symm :args (tptp.notinemptyset @t17)) % 1.33/1.57 (step @p9109 :rule trans :premises (@p9108 @p9107)) % 1.33/1.57 (step @p9110 :rule eq_resolve :premises (@p20 @p9109)) % 1.33/1.57 (step @p9111 :rule cong :premises (@p9110 @p9102) :args (@t5042)) % 1.33/1.57 (step @p9112 :rule bool-impl-false1 :args (@t15)) % 1.33/1.57 (step @p9113 :rule cong :premises (@p9112) :args (@t184)) % 1.33/1.57 (step @p9114 :rule trans :premises (@p9113 @p9105)) % 1.33/1.57 (step @p9115 :rule refl :args (tptp.emptysetimpfalse)) % 1.33/1.57 (step @p9116 :rule cong :premises (@p9115 @p9114) :args (@t185)) % 1.33/1.57 (step @p9117 :rule eq_resolve :premises (@p19 @p9116)) % 1.33/1.57 (step @p9118 :rule cong :premises (@p9117 @p9111) :args (@t5043)) % 1.33/1.57 (step @p9119 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3429 @t173)) false))) % 1.33/1.57 (step @p9120 :rule nary_cong :premises (@p2528 @p2522) :args (@t5044)) % 1.33/1.57 (step @p9121 :rule aci_norm :args ((= @t173 @t5044))) % 1.33/1.57 (step @p9122 :rule trans :premises (@p9121 @p9120)) % 1.33/1.57 (step @p9123 :rule cong :premises (@p9122) :args (@t180)) % 1.33/1.57 (step @p9124 :rule trans :premises (@p9123 @p9119)) % 1.33/1.57 (step @p9125 :rule refl :args (@t15)) % 1.33/1.57 (step @p9126 :rule cong :premises (@p9125 @p9124) :args (@t181)) % 1.33/1.57 (step @p9127 :rule trans :premises (@p9126 @p9112)) % 1.33/1.57 (step @p9128 :rule cong :premises (@p9127) :args (@t182)) % 1.33/1.57 (step @p9129 :rule trans :premises (@p9128 @p9105)) % 1.33/1.57 (step @p9130 :rule refl :args (tptp.emptysetE)) % 1.33/1.57 (step @p9131 :rule cong :premises (@p9130 @p9129) :args (@t183)) % 1.33/1.57 (step @p9132 :rule eq_resolve :premises (@p18 @p9131)) % 1.33/1.57 (step @p9133 :rule cong :premises (@p9132 @p9118) :args (@t5045)) % 1.33/1.57 (step @p9134 :rule aci_norm :args ((= @t5046 @t2530))) % 1.33/1.57 (step @p9135 :rule cong :premises (@p9134) :args ((forall @t9 @t5046))) % 1.33/1.57 (step @p9136 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3429 @t5048 @t173)) @t5046))) % 1.33/1.57 (step @p9137 :rule refl :args (@t5048)) % 1.33/1.57 (step @p9138 :rule nary_cong :premises (@p2528 @p9137 @p2522) :args (@t5049)) % 1.33/1.57 (step @p9139 :rule aci_norm :args ((= @t5050 @t5049))) % 1.33/1.57 (step @p9140 :rule trans :premises (@p9139 @p9138)) % 1.33/1.57 (step @p9141 :rule cong :premises (@p9140) :args (@t5051)) % 1.33/1.57 (step @p9142 :rule trans :premises (@p9141 @p9136)) % 1.33/1.57 (step @p9143 :rule cong :premises (@p9142) :args (@t5052)) % 1.33/1.57 (step @p9144 :rule quant-merge-prenex :args ((= @t5052 @t5053))) % 1.33/1.57 (step @p9145 :rule symm :premises (@p9144)) % 1.33/1.57 (step @p9146 :rule quant_var_reordering :args ((= (forall @t176 @t5050) @t5053))) % 1.33/1.57 (step @p9147 :rule trans :premises (@p9146 @p9145 @p9143)) % 1.33/1.57 (step @p9148 :rule trans :premises (@p9147 @p9135)) % 1.33/1.57 (step @p9149 :rule refl :args ((tptp.in @t4 @t174))) % 1.33/1.57 (step @p9150 :rule cong :premises (@p874 @p8292) :args (@t5047)) % 1.33/1.57 (step @p9151 :rule trans :premises (@p9150 @p9149)) % 1.33/1.57 (step @p9152 :rule ho_cong :premises (@p877 @p8292)) % 1.33/1.57 (step @p9153 :rule cong :premises (@p9152 @p9151) :args ((= (_ @t5 @t4865) @t5047))) % 1.33/1.57 (step @p9154 :rule symm :premises (@p9153)) % 1.33/1.57 (step @p9155 :rule refl :args (@t175)) % 1.33/1.57 (step @p9156 :rule eq_resolve :premises (@p9155 @p9154)) % 1.33/1.57 (step @p9157 :rule ho_cong :premises (@p877 @p8304)) % 1.33/1.57 (step @p9158 :rule trans :premises (@p9157 @p9156)) % 1.33/1.57 (step @p9159 :rule cong :premises (@p9158) :args (@t5054)) % 1.33/1.57 (step @p9160 :rule nary_cong :premises (@p9159 @p2522) :args (@t5055)) % 1.33/1.57 (step @p9161 :rule cong :premises (@p9160) :args ((forall @t176 @t5055))) % 1.33/1.57 (step @p9162 :rule trans :premises (@p9161 @p9148)) % 1.33/1.57 (step @p9163 :rule bool-impl-elim :args (@t175 @t173)) % 1.33/1.57 (step @p9164 :rule cong :premises (@p9163) :args (@t177)) % 1.33/1.57 (step @p9165 :rule trans :premises (@p9164 @p9162)) % 1.33/1.57 (step @p9166 :rule refl :args (tptp.prop2setE)) % 1.33/1.57 (step @p9167 :rule cong :premises (@p9166 @p9165) :args (@t178)) % 1.33/1.57 (step @p9168 :rule eq_resolve :premises (@p17 @p9167)) % 1.33/1.57 (step @p9169 :rule cong :premises (@p9168 @p9133) :args (@t5056)) % 1.33/1.57 (step @p9170 :rule bool-eq-true :args (tptp.exuE1)) % 1.33/1.57 (step @p9171 :rule symm :premises (@p9170)) % 1.33/1.57 (step @p9172 :rule cong :premises (@p7692 @p7730) :args (@t5057)) % 1.33/1.57 (step @p9173 :rule cong :premises (@p9172) :args (@t5058)) % 1.33/1.57 (step @p9174 :rule trans :premises (@p9173 @p8197)) % 1.33/1.57 (step @p9175 :rule refl :args (tptp.exuE1)) % 1.33/1.57 (step @p9176 :rule cong :premises (@p9175 @p9174) :args ((= tptp.exuE1 @t5058))) % 1.33/1.57 (step @p9177 :rule trans :premises (@p9176 @p9170)) % 1.33/1.57 (step @p9178 :rule cong :premises (@p7735 @p8204) :args (@t170)) % 1.33/1.57 (step @p9179 :rule cong :premises (@p9178) :args (@t171)) % 1.33/1.57 (step @p9180 :rule cong :premises (@p9175 @p9179) :args (@t172)) % 1.33/1.57 (step @p9181 :rule trans :premises (@p9180 @p9177)) % 1.33/1.57 (step @p9182 :rule eq_resolve :premises (@p16 @p9181)) % 1.33/1.57 (step @p9183 :rule eq_resolve :premises (@p9182 @p9171)) % 1.33/1.57 (step @p9184 :rule cong :premises (@p9183 @p9169) :args (@t5059)) % 1.33/1.57 (step @p9185 :rule cong :premises (@p9004) :args (@t5060)) % 1.33/1.57 (step @p9186 :rule nary_cong :premises (@p9185 @p9005) :args (@t5061)) % 1.33/1.57 (step @p9187 :rule cong :premises (@p9186) :args ((forall @t159 @t5061))) % 1.33/1.57 (step @p9188 :rule cong :premises (@p9018) :args (@t5062)) % 1.33/1.57 (step @p9189 :rule nary_cong :premises (@p9188 @p4153) :args (@t5063)) % 1.33/1.57 (step @p9190 :rule cong :premises (@p9189) :args ((forall @t159 @t5063))) % 1.33/1.57 (step @p9191 :rule trans :premises (@p9190 @p9187)) % 1.33/1.57 (step @p9192 :rule bool-impl-elim :args (@t157 @t144)) % 1.33/1.57 (step @p9193 :rule cong :premises (@p9192) :args (@t164)) % 1.33/1.57 (step @p9194 :rule trans :premises (@p9193 @p9191)) % 1.33/1.57 (step @p9195 :rule refl :args (tptp.dsetconstrER)) % 1.33/1.57 (step @p9196 :rule cong :premises (@p9195 @p9194) :args (@t165)) % 1.33/1.57 (step @p9197 :rule eq_resolve :premises (@p15 @p9196)) % 1.33/1.57 (step @p9198 :rule cong :premises (@p9197 @p9184) :args (@t5064)) % 1.33/1.57 (step @p9199 :rule nary_cong :premises (@p9185 @p4722) :args (@t5065)) % 1.33/1.57 (step @p9200 :rule cong :premises (@p9199) :args ((forall @t159 @t5065))) % 1.33/1.57 (step @p9201 :rule nary_cong :premises (@p9188 @p909) :args (@t5066)) % 1.33/1.57 (step @p9202 :rule cong :premises (@p9201) :args ((forall @t159 @t5066))) % 1.33/1.57 (step @p9203 :rule trans :premises (@p9202 @p9200)) % 1.33/1.57 (step @p9204 :rule bool-impl-elim :args (@t157 @t7)) % 1.33/1.57 (step @p9205 :rule cong :premises (@p9204) :args (@t162)) % 1.33/1.57 (step @p9206 :rule trans :premises (@p9205 @p9203)) % 1.33/1.57 (step @p9207 :rule refl :args (tptp.dsetconstrEL)) % 1.33/1.57 (step @p9208 :rule cong :premises (@p9207 @p9206) :args (@t163)) % 1.33/1.57 (step @p9209 :rule eq_resolve :premises (@p14 @p9208)) % 1.33/1.57 (step @p9210 :rule cong :premises (@p9209 @p9198) :args (@t5067)) % 1.33/1.57 (step @p9211 :rule nary_cong :premises (@p2602 @p5576 @p9004) :args (@t5068)) % 1.33/1.57 (step @p9212 :rule cong :premises (@p9211) :args ((forall @t159 @t5068))) % 1.33/1.57 (step @p9213 :rule nary_cong :premises (@p910 @p4179 @p9018) :args (@t5069)) % 1.33/1.57 (step @p9214 :rule cong :premises (@p9213) :args ((forall @t159 @t5069))) % 1.33/1.57 (step @p9215 :rule trans :premises (@p9214 @p9212)) % 1.33/1.57 (step @p9216 :rule aci_norm :args ((= (or @t197 (or @t317 @t157)) @t5069))) % 1.33/1.57 (step @p9217 :rule bool-impl-elim :args (@t144 @t157)) % 1.33/1.57 (step @p9218 :rule nary_cong :premises (@p915 @p9217) :args ((or @t197 @t158))) % 1.33/1.57 (step @p9219 :rule trans :premises (@p9218 @p9216)) % 1.33/1.57 (step @p9220 :rule bool-impl-elim :args (@t7 @t158)) % 1.33/1.57 (step @p9221 :rule trans :premises (@p9220 @p9219)) % 1.33/1.57 (step @p9222 :rule cong :premises (@p9221) :args (@t160)) % 1.33/1.57 (step @p9223 :rule trans :premises (@p9222 @p9215)) % 1.33/1.57 (step @p9224 :rule refl :args (tptp.dsetconstrI)) % 1.33/1.57 (step @p9225 :rule cong :premises (@p9224 @p9223) :args (@t161)) % 1.33/1.57 (step @p9226 :rule eq_resolve :premises (@p13 @p9225)) % 1.33/1.57 (step @p9227 :rule cong :premises (@p9226 @p9210) :args (@t5070)) % 1.33/1.57 (step @p9228 :rule eq-symm :args (@t2540 @t19)) % 1.33/1.57 (step @p9229 :rule nary_cong :premises (@p7572 @p9228) :args (@t5071)) % 1.33/1.57 (step @p9230 :rule cong :premises (@p9229) :args (@t5072)) % 1.33/1.57 (step @p9231 :rule cong :premises (@p9230) :args (@t5073)) % 1.33/1.57 (step @p9232 :rule refl :args (@t2541)) % 1.33/1.57 (step @p9233 :rule refl :args (@t2542)) % 1.33/1.57 (step @p9234 :rule nary_cong :premises (@p9233 @p9232 @p9231) :args (@t5074)) % 1.33/1.57 (step @p9235 :rule aci_norm :args ((= @t5076 @t5074))) % 1.33/1.57 (step @p9236 :rule trans :premises (@p9235 @p9234)) % 1.33/1.57 (step @p9237 :rule cong :premises (@p9236) :args (@t5077)) % 1.33/1.57 (step @p9238 :rule quant-merge-prenex :args ((= (forall @t150 @t5079) @t5077))) % 1.33/1.57 (step @p9239 :rule refl :args (@t2542)) % 1.33/1.57 (step @p9240 :rule alpha_equiv :args (@t5080 (@list @t2540) @t2902)) % 1.33/1.57 (step @p9241 :rule nary_cong :premises (@p9240 @p9239) :args (@t5081)) % 1.33/1.57 (step @p9242 :rule quant-miniscope-or :args ((= @t5079 @t5081))) % 1.33/1.57 (step @p9243 :rule trans :premises (@p9242 @p9241)) % 1.33/1.57 (step @p9244 :rule symm :premises (@p9243)) % 1.33/1.57 (step @p9245 :rule cong :premises (@p9244) :args ((forall @t150 (or @t2402 @t2542)))) % 1.33/1.57 (step @p9246 :rule trans :premises (@p9245 @p9238)) % 1.33/1.57 (step @p9247 :rule trans :premises (@p9246 @p9237)) % 1.33/1.57 (step @p9248 :rule cong :premises (@p7596) :args (@t5082)) % 1.33/1.57 (step @p9249 :rule nary_cong :premises (@p7599 @p9248) :args (@t5083)) % 1.33/1.57 (step @p9250 :rule cong :premises (@p9249) :args ((forall @t150 @t5083))) % 1.33/1.57 (step @p9251 :rule trans :premises (@p9250 @p9247)) % 1.33/1.57 (step @p9252 :rule refl :args ((_ @t143 @t146))) % 1.33/1.57 (step @p9253 :rule cong :premises (@p7616) :args (@t5082)) % 1.33/1.57 (step @p9254 :rule trans :premises (@p9253 @p9252)) % 1.33/1.57 (step @p9255 :rule ho_cong :premises (@p4310 @p7616)) % 1.33/1.57 (step @p9256 :rule cong :premises (@p9255 @p9254) :args ((= (_ @t143 @t4653) @t5082))) % 1.33/1.57 (step @p9257 :rule symm :premises (@p9256)) % 1.33/1.57 (step @p9258 :rule refl :args (@t147)) % 1.33/1.57 (step @p9259 :rule eq_resolve :premises (@p9258 @p9257)) % 1.33/1.57 (step @p9260 :rule ho_cong :premises (@p4310 @p7623)) % 1.33/1.57 (step @p9261 :rule trans :premises (@p9260 @p9259)) % 1.33/1.57 (step @p9262 :rule nary_cong :premises (@p7626 @p9261) :args (@t5084)) % 1.33/1.57 (step @p9263 :rule cong :premises (@p9262) :args ((forall @t150 @t5084))) % 1.33/1.57 (step @p9264 :rule trans :premises (@p9263 @p9251)) % 1.33/1.57 (step @p9265 :rule nary_cong :premises (@p7640 @p9258) :args ((or @t4659 @t147))) % 1.33/1.57 (step @p9266 :rule bool-impl-elim :args (@t2403 @t147)) % 1.33/1.57 (step @p9267 :rule trans :premises (@p9266 @p9265)) % 1.33/1.57 (step @p9268 :rule cong :premises (@p9267) :args ((forall @t150 (=> @t2403 @t147)))) % 1.33/1.57 (step @p9269 :rule trans :premises (@p9268 @p9264)) % 1.33/1.57 (step @p9270 :rule refl :args (@t147)) % 1.33/1.57 (step @p9271 :rule cong :premises (@p7692 @p9270) :args (@t5085)) % 1.33/1.57 (step @p9272 :rule cong :premises (@p9271) :args (@t5086)) % 1.33/1.57 (step @p9273 :rule trans :premises (@p9272 @p9269)) % 1.33/1.57 (step @p9274 :rule refl :args (tptp.descrp)) % 1.33/1.57 (step @p9275 :rule cong :premises (@p9274 @p9273) :args ((= tptp.descrp @t5086))) % 1.33/1.57 (step @p9276 :rule cong :premises (@p7735 @p9270) :args (@t149)) % 1.33/1.57 (step @p9277 :rule cong :premises (@p9276) :args (@t151)) % 1.33/1.57 (step @p9278 :rule cong :premises (@p9274 @p9277) :args (@t152)) % 1.33/1.57 (step @p9279 :rule trans :premises (@p9278 @p9275)) % 1.33/1.57 (step @p9280 :rule eq_resolve :premises (@p12 @p9279)) % 1.33/1.57 (step @p9281 :rule cong :premises (@p9280 @p9227) :args (@t5087)) % 1.33/1.57 (step @p9282 :rule aci_norm :args ((= (or @t2594 (or @t2587 (or @t2583 @t2571))) @t2595))) % 1.33/1.57 (step @p9283 :rule bool-and-de-morgan :args (@t2582 @t2570 true)) % 1.33/1.57 (step @p9284 :rule refl :args (@t2587)) % 1.33/1.57 (step @p9285 :rule nary_cong :premises (@p9284 @p9283) :args ((or @t2587 (not (and @t2582 @t2570))))) % 1.33/1.57 (step @p9286 :rule bool-and-de-morgan :args (@t2586 @t2582 (and @t2570))) % 1.33/1.57 (step @p9287 :rule trans :premises (@p9286 @p9285)) % 1.33/1.57 (step @p9288 :rule refl :args (@t2594)) % 1.33/1.57 (step @p9289 :rule nary_cong :premises (@p9288 @p9287) :args ((or @t2594 (not (and @t2586 @t2582 @t2570))))) % 1.33/1.57 (step @p9290 :rule bool-and-de-morgan :args (@t2593 @t2586 (and @t2582 @t2570))) % 1.33/1.57 (step @p9291 :rule trans :premises (@p9290 @p9289)) % 1.33/1.57 (step @p9292 :rule trans :premises (@p9291 @p9282)) % 1.33/1.57 (step @p9293 :rule cong :premises (@p9292) :args (@t5089)) % 1.33/1.57 (step @p9294 :rule cong :premises (@p9293) :args (@t5090)) % 1.33/1.57 (step @p9295 :rule exists-elim :args ((= (exists @t41 @t5088) @t5090))) % 1.33/1.57 (step @p9296 :rule trans :premises (@p9295 @p9294)) % 1.33/1.57 (step @p9297 :rule quant-merge-prenex :args ((= (forall @t118 @t5092) @t2570))) % 1.33/1.57 (step @p9298 :rule refl :args (@t2564)) % 1.33/1.57 (step @p9299 :rule alpha_equiv :args (@t5093 (@list @t2565) @t2902)) % 1.33/1.57 (step @p9300 :rule refl :args (@t2568)) % 1.33/1.57 (step @p9301 :rule nary_cong :premises (@p9300 @p9299 @p9298) :args (@t5094)) % 1.33/1.57 (step @p9302 :rule quant-miniscope-or :args ((= @t5092 @t5094))) % 1.33/1.57 (step @p9303 :rule trans :premises (@p9302 @p9301)) % 1.33/1.57 (step @p9304 :rule symm :premises (@p9303)) % 1.33/1.57 (step @p9305 :rule cong :premises (@p9304) :args ((forall @t118 @t5096))) % 1.33/1.57 (step @p9306 :rule trans :premises (@p9305 @p9297)) % 1.33/1.57 (step @p9307 :rule aci_norm :args ((= (or (or @t2568 @t5095) @t2564) @t5096))) % 1.33/1.57 (step @p9308 :rule bool-double-not-elim :args (@t5095)) % 1.33/1.57 (step @p9309 :rule nary_cong :premises (@p9300 @p9308) :args ((or @t2568 (not @t5097)))) % 1.33/1.57 (step @p9310 :rule bool-and-de-morgan :args (@t2567 @t5097 true)) % 1.33/1.57 (step @p9311 :rule trans :premises (@p9310 @p9309)) % 1.33/1.57 (step @p9312 :rule nary_cong :premises (@p9311 @p9298) :args ((or (not @t5098) @t2564))) % 1.33/1.57 (step @p9313 :rule trans :premises (@p9312 @p9307)) % 1.33/1.57 (step @p9314 :rule bool-impl-elim :args (@t5098 @t2564)) % 1.33/1.57 (step @p9315 :rule trans :premises (@p9314 @p9313)) % 1.33/1.57 (step @p9316 :rule cong :premises (@p9315) :args ((forall @t118 (=> @t5098 @t2564)))) % 1.33/1.57 (step @p9317 :rule trans :premises (@p9316 @p9306)) % 1.33/1.57 (step @p9318 :rule refl :args (@t2555)) % 1.33/1.57 (step @p9319 :rule refl :args (@t2559)) % 1.33/1.57 (step @p9320 :rule refl :args (@t2560)) % 1.33/1.57 (step @p9321 :rule refl :args (@t109)) % 1.33/1.57 (step @p9322 :rule cong :premises (@p9321 @p9320) :args ((= @t109 @t2560))) % 1.33/1.57 (step @p9323 :rule symm :premises (@p9322)) % 1.33/1.57 (step @p9324 :rule eq_resolve :premises (@p9321 @p9323)) % 1.33/1.57 (step @p9325 :rule cong :premises (@p9324) :args (@t5099)) % 1.33/1.57 (step @p9326 :rule refl :args (@t2562)) % 1.33/1.57 (step @p9327 :rule refl :args (@t110)) % 1.33/1.57 (step @p9328 :rule cong :premises (@p9327 @p9326) :args ((= @t110 @t2562))) % 1.33/1.57 (step @p9329 :rule symm :premises (@p9328)) % 1.33/1.57 (step @p9330 :rule eq_resolve :premises (@p9327 @p9329)) % 1.33/1.57 (step @p9331 :rule cong :premises (@p9330) :args (@t5100)) % 1.33/1.57 (step @p9332 :rule nary_cong :premises (@p9331 @p9325 @p9319 @p9318) :args (@t5101)) % 1.33/1.57 (step @p9333 :rule cong :premises (@p9332) :args ((forall @t112 @t5101))) % 1.33/1.57 (step @p9334 :rule aci_norm :args ((= (or @t5100 (or @t5099 (or @t2559 @t2555))) @t5101))) % 1.33/1.57 (step @p9335 :rule bool-and-de-morgan :args (@t2558 @t2554 true)) % 1.33/1.57 (step @p9336 :rule refl :args (@t5099)) % 1.33/1.57 (step @p9337 :rule nary_cong :premises (@p9336 @p9335) :args ((or @t5099 (not (and @t2558 @t2554))))) % 1.33/1.57 (step @p9338 :rule bool-and-de-morgan :args (@t109 @t2558 (and @t2554))) % 1.33/1.57 (step @p9339 :rule trans :premises (@p9338 @p9337)) % 1.33/1.57 (step @p9340 :rule refl :args (@t5100)) % 1.33/1.57 (step @p9341 :rule nary_cong :premises (@p9340 @p9339) :args ((or @t5100 (not (and @t109 @t2558 @t2554))))) % 1.33/1.57 (step @p9342 :rule bool-and-de-morgan :args (@t110 @t109 (and @t2558 @t2554))) % 1.33/1.57 (step @p9343 :rule trans :premises (@p9342 @p9341)) % 1.33/1.57 (step @p9344 :rule trans :premises (@p9343 @p9334)) % 1.33/1.57 (step @p9345 :rule cong :premises (@p9344) :args (@t5103)) % 1.33/1.57 (step @p9346 :rule trans :premises (@p9345 @p9333)) % 1.33/1.57 (step @p9347 :rule cong :premises (@p9346) :args (@t5104)) % 1.33/1.57 (step @p9348 :rule exists-elim :args ((= (exists @t112 @t5102) @t5104))) % 1.33/1.57 (step @p9349 :rule trans :premises (@p9348 @p9347)) % 1.33/1.57 (step @p9350 :rule aci_norm :args ((= @t5106 @t2552))) % 1.33/1.57 (step @p9351 :rule cong :premises (@p9350) :args (@t5107)) % 1.33/1.57 (step @p9352 :rule quant-merge-prenex :args ((= (forall @t102 @t5109) @t5107))) % 1.33/1.57 (step @p9353 :rule refl :args (@t2549)) % 1.33/1.57 (step @p9354 :rule alpha_equiv :args (@t5110 (@list @t2546) @t3417)) % 1.33/1.57 (step @p9355 :rule refl :args (@t2551)) % 1.33/1.57 (step @p9356 :rule nary_cong :premises (@p9355 @p9354 @p9353) :args (@t5111)) % 1.33/1.57 (step @p9357 :rule quant-miniscope-or :args ((= @t5109 @t5111))) % 1.33/1.57 (step @p9358 :rule trans :premises (@p9357 @p9356)) % 1.33/1.57 (step @p9359 :rule symm :premises (@p9358)) % 1.33/1.57 (step @p9360 :rule cong :premises (@p9359) :args ((forall @t102 (or @t2551 @t5113 @t2549)))) % 1.33/1.57 (step @p9361 :rule trans :premises (@p9360 @p9352)) % 1.33/1.57 (step @p9362 :rule trans :premises (@p9361 @p9351)) % 1.33/1.57 (step @p9363 :rule refl :args (@t2549)) % 1.33/1.57 (step @p9364 :rule refl :args (@t94)) % 1.33/1.57 (step @p9365 :rule cong :premises (@p9364 @p9363) :args ((= @t94 @t2549))) % 1.33/1.57 (step @p9366 :rule symm :premises (@p9365)) % 1.33/1.57 (step @p9367 :rule eq_resolve :premises (@p9364 @p9366)) % 1.33/1.57 (step @p9368 :rule refl :args (@t5113)) % 1.33/1.57 (step @p9369 :rule refl :args (@t2550)) % 1.33/1.57 (step @p9370 :rule refl :args (@t100)) % 1.33/1.57 (step @p9371 :rule cong :premises (@p9370 @p9369) :args ((= @t100 @t2550))) % 1.33/1.57 (step @p9372 :rule symm :premises (@p9371)) % 1.33/1.57 (step @p9373 :rule eq_resolve :premises (@p9370 @p9372)) % 1.33/1.57 (step @p9374 :rule cong :premises (@p9373) :args (@t5114)) % 1.33/1.57 (step @p9375 :rule nary_cong :premises (@p9374 @p9368 @p9367) :args (@t5115)) % 1.33/1.57 (step @p9376 :rule cong :premises (@p9375) :args ((forall @t102 @t5115))) % 1.33/1.57 (step @p9377 :rule trans :premises (@p9376 @p9362)) % 1.33/1.57 (step @p9378 :rule aci_norm :args ((= (or @t5114 @t5116) @t5115))) % 1.33/1.57 (step @p9379 :rule bool-impl-elim :args (@t100 @t5116)) % 1.33/1.57 (step @p9380 :rule trans :premises (@p9379 @p9378)) % 1.33/1.57 (step @p9381 :rule cong :premises (@p9380) :args ((forall @t102 (=> @t100 @t5116)))) % 1.33/1.57 (step @p9382 :rule trans :premises (@p9381 @p9377)) % 1.33/1.57 (step @p9383 :rule refl :args (@t94)) % 1.33/1.57 (step @p9384 :rule refl :args (@t2557)) % 1.33/1.57 (step @p9385 :rule refl :args (@t96)) % 1.33/1.57 (step @p9386 :rule cong :premises (@p9385 @p9384) :args ((= @t96 @t2557))) % 1.33/1.57 (step @p9387 :rule symm :premises (@p9386)) % 1.33/1.57 (step @p9388 :rule eq_resolve :premises (@p9385 @p9387)) % 1.33/1.57 (step @p9389 :rule refl :args (@t5112)) % 1.33/1.57 (step @p9390 :rule refl :args (@t97)) % 1.33/1.57 (step @p9391 :rule cong :premises (@p9390 @p9389) :args ((= @t97 @t5112))) % 1.33/1.57 (step @p9392 :rule symm :premises (@p9391)) % 1.33/1.57 (step @p9393 :rule eq_resolve :premises (@p9390 @p9392)) % 1.33/1.57 (step @p9394 :rule cong :premises (@p9393) :args (@t5117)) % 1.33/1.57 (step @p9395 :rule nary_cong :premises (@p9394 @p9388) :args (@t5118)) % 1.33/1.57 (step @p9396 :rule cong :premises (@p9395) :args ((forall @t70 @t5118))) % 1.33/1.57 (step @p9397 :rule bool-impl-elim :args (@t97 @t96)) % 1.33/1.57 (step @p9398 :rule cong :premises (@p9397) :args (@t98)) % 1.33/1.57 (step @p9399 :rule trans :premises (@p9398 @p9396)) % 1.33/1.57 (step @p9400 :rule nary_cong :premises (@p9399 @p9383) :args (@t99)) % 1.33/1.57 (step @p9401 :rule refl :args (@t100)) % 1.33/1.57 (step @p9402 :rule cong :premises (@p9401 @p9400) :args (@t101)) % 1.33/1.57 (step @p9403 :rule cong :premises (@p9402) :args (@t103)) % 1.33/1.57 (step @p9404 :rule trans :premises (@p9403 @p9382)) % 1.33/1.57 (step @p9405 :rule bool-double-not-elim :args (@t2558)) % 1.33/1.57 (step @p9406 :rule refl :args (@t2556)) % 1.33/1.57 (step @p9407 :rule refl :args (@t105)) % 1.33/1.57 (step @p9408 :rule cong :premises (@p9407 @p9406) :args ((= @t105 @t2556))) % 1.33/1.57 (step @p9409 :rule symm :premises (@p9408)) % 1.33/1.57 (step @p9410 :rule eq_resolve :premises (@p9407 @p9409)) % 1.33/1.57 (step @p9411 :rule cong :premises (@p9410) :args (@t5119)) % 1.33/1.57 (step @p9412 :rule cong :premises (@p9388) :args (@t5120)) % 1.33/1.57 (step @p9413 :rule nary_cong :premises (@p9412 @p9411) :args (@t5121)) % 1.33/1.57 (step @p9414 :rule cong :premises (@p9413) :args ((forall @t70 @t5121))) % 1.33/1.57 (step @p9415 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 1.33/1.57 (step @p9416 :rule cong :premises (@p9415) :args (@t5122)) % 1.33/1.57 (step @p9417 :rule trans :premises (@p9416 @p9414)) % 1.33/1.57 (step @p9418 :rule cong :premises (@p9417) :args (@t5123)) % 1.33/1.57 (step @p9419 :rule exists-elim :args ((= @t107 @t5123))) % 1.33/1.57 (step @p9420 :rule trans :premises (@p9419 @p9418)) % 1.33/1.57 (step @p9421 :rule cong :premises (@p9420) :args (@t108)) % 1.33/1.57 (step @p9422 :rule trans :premises (@p9421 @p9405)) % 1.33/1.57 (step @p9423 :rule refl :args (@t109)) % 1.33/1.57 (step @p9424 :rule refl :args (@t110)) % 1.33/1.57 (step @p9425 :rule nary_cong :premises (@p9424 @p9423 @p9422 @p9404) :args (@t111)) % 1.33/1.57 (step @p9426 :rule cong :premises (@p9425) :args (@t113)) % 1.33/1.57 (step @p9427 :rule trans :premises (@p9426 @p9349)) % 1.33/1.57 (step @p9428 :rule cong :premises (@p9325) :args (@t5124)) % 1.33/1.57 (step @p9429 :rule cong :premises (@p9428) :args (@t5125)) % 1.33/1.57 (step @p9430 :rule exists-elim :args ((= @t114 @t5125))) % 1.33/1.57 (step @p9431 :rule trans :premises (@p9430 @p9429)) % 1.33/1.57 (step @p9432 :rule nary_cong :premises (@p9325 @p909) :args (@t5126)) % 1.33/1.57 (step @p9433 :rule cong :premises (@p9432) :args ((forall @t9 @t5126))) % 1.33/1.57 (step @p9434 :rule bool-impl-elim :args (@t109 @t7)) % 1.33/1.57 (step @p9435 :rule cong :premises (@p9434) :args (@t115)) % 1.33/1.57 (step @p9436 :rule trans :premises (@p9435 @p9433)) % 1.33/1.57 (step @p9437 :rule nary_cong :premises (@p9436 @p9431) :args (@t116)) % 1.33/1.57 (step @p9438 :rule cong :premises (@p9437 @p9427) :args (@t117)) % 1.33/1.57 (step @p9439 :rule cong :premises (@p9438) :args (@t119)) % 1.33/1.57 (step @p9440 :rule trans :premises (@p9439 @p9317)) % 1.33/1.57 (step @p9441 :rule aci_norm :args ((= @t5129 @t2580))) % 1.33/1.57 (step @p9442 :rule cong :premises (@p9441) :args (@t5130)) % 1.33/1.57 (step @p9443 :rule quant-merge-prenex :args ((= (forall @t127 @t5131) @t5130))) % 1.33/1.57 (step @p9444 :rule alpha_equiv :args (@t5132 (@list @t2572) @t2902)) % 1.33/1.57 (step @p9445 :rule alpha_equiv :args (@t5133 (@list @t2575) @t2902)) % 1.33/1.57 (step @p9446 :rule refl :args (@t2563)) % 1.33/1.57 (step @p9447 :rule refl :args (@t2579)) % 1.33/1.57 (step @p9448 :rule nary_cong :premises (@p9447 @p9446 @p9445 @p9444) :args (@t5134)) % 1.33/1.57 (step @p9449 :rule quant-miniscope-or :args ((= @t5131 @t5134))) % 1.33/1.57 (step @p9450 :rule trans :premises (@p9449 @p9448)) % 1.33/1.57 (step @p9451 :rule symm :premises (@p9450)) % 1.33/1.57 (step @p9452 :rule cong :premises (@p9451) :args ((forall @t127 (or @t2579 @t2563 @t5137 @t5136)))) % 1.33/1.57 (step @p9453 :rule trans :premises (@p9452 @p9443)) % 1.33/1.57 (step @p9454 :rule trans :premises (@p9453 @p9442)) % 1.33/1.57 (step @p9455 :rule refl :args (@t5136)) % 1.33/1.57 (step @p9456 :rule refl :args (@t5137)) % 1.33/1.57 (step @p9457 :rule refl :args (@t2578)) % 1.33/1.57 (step @p9458 :rule refl :args (@t124)) % 1.33/1.57 (step @p9459 :rule cong :premises (@p9458 @p9457) :args ((= @t124 @t2578))) % 1.33/1.57 (step @p9460 :rule symm :premises (@p9459)) % 1.33/1.57 (step @p9461 :rule eq_resolve :premises (@p9458 @p9460)) % 1.33/1.57 (step @p9462 :rule cong :premises (@p9461) :args (@t5138)) % 1.33/1.57 (step @p9463 :rule nary_cong :premises (@p9462 @p9331 @p9456 @p9455) :args (@t5139)) % 1.33/1.57 (step @p9464 :rule cong :premises (@p9463) :args ((forall @t127 @t5139))) % 1.33/1.57 (step @p9465 :rule trans :premises (@p9464 @p9454)) % 1.33/1.57 (step @p9466 :rule aci_norm :args ((= (or (or @t5138 @t5100) @t5140) @t5139))) % 1.33/1.57 (step @p9467 :rule refl :args (@t5140)) % 1.33/1.57 (step @p9468 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 1.33/1.57 (step @p9469 :rule nary_cong :premises (@p9468 @p9467) :args ((or (not @t125) @t5140))) % 1.33/1.57 (step @p9470 :rule trans :premises (@p9469 @p9466)) % 1.33/1.57 (step @p9471 :rule bool-impl-elim :args (@t125 @t5140)) % 1.33/1.57 (step @p9472 :rule trans :premises (@p9471 @p9470)) % 1.33/1.57 (step @p9473 :rule cong :premises (@p9472) :args ((forall @t127 (=> @t125 @t5140)))) % 1.33/1.57 (step @p9474 :rule trans :premises (@p9473 @p9465)) % 1.33/1.57 (step @p9475 :rule refl :args (@t5135)) % 1.33/1.57 (step @p9476 :rule refl :args (@t120)) % 1.33/1.57 (step @p9477 :rule cong :premises (@p9476 @p9475) :args ((= @t120 @t5135))) % 1.33/1.57 (step @p9478 :rule symm :premises (@p9477)) % 1.33/1.57 (step @p9479 :rule eq_resolve :premises (@p9476 @p9478)) % 1.33/1.57 (step @p9480 :rule cong :premises (@p9479) :args (@t5141)) % 1.33/1.57 (step @p9481 :rule nary_cong :premises (@p9480 @p9324) :args (@t5142)) % 1.33/1.57 (step @p9482 :rule cong :premises (@p9481) :args ((forall @t9 @t5142))) % 1.33/1.57 (step @p9483 :rule bool-impl-elim :args (@t120 @t109)) % 1.33/1.57 (step @p9484 :rule cong :premises (@p9483) :args (@t121)) % 1.33/1.57 (step @p9485 :rule trans :premises (@p9484 @p9482)) % 1.33/1.57 (step @p9486 :rule nary_cong :premises (@p9325 @p9479) :args (@t5143)) % 1.33/1.57 (step @p9487 :rule cong :premises (@p9486) :args ((forall @t9 @t5143))) % 1.33/1.57 (step @p9488 :rule bool-impl-elim :args (@t109 @t120)) % 1.33/1.57 (step @p9489 :rule cong :premises (@p9488) :args (@t122)) % 1.33/1.57 (step @p9490 :rule trans :premises (@p9489 @p9487)) % 1.33/1.57 (step @p9491 :rule nary_cong :premises (@p9490 @p9485) :args (@t123)) % 1.33/1.57 (step @p9492 :rule refl :args (@t125)) % 1.33/1.57 (step @p9493 :rule cong :premises (@p9492 @p9491) :args (@t126)) % 1.33/1.57 (step @p9494 :rule cong :premises (@p9493) :args (@t128)) % 1.33/1.57 (step @p9495 :rule trans :premises (@p9494 @p9474)) % 1.33/1.57 (step @p9496 :rule refl :args (@t2585)) % 1.33/1.57 (step @p9497 :rule nary_cong :premises (@p910 @p2503 @p9496 @p4188) :args (@t5144)) % 1.33/1.57 (step @p9498 :rule cong :premises (@p9497) :args ((forall @t135 @t5144))) % 1.33/1.57 (step @p9499 :rule aci_norm :args ((= (or (or @t197 @t3424) (or @t2585 @t129)) @t5144))) % 1.33/1.57 (step @p9500 :rule bool-impl-elim :args (@t2584 @t129)) % 1.33/1.57 (step @p9501 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 1.33/1.57 (step @p9502 :rule nary_cong :premises (@p9501 @p9500) :args ((or (not @t133) @t5145))) % 1.33/1.57 (step @p9503 :rule trans :premises (@p9502 @p9499)) % 1.33/1.57 (step @p9504 :rule bool-impl-elim :args (@t133 @t5145)) % 1.33/1.57 (step @p9505 :rule trans :premises (@p9504 @p9503)) % 1.33/1.57 (step @p9506 :rule cong :premises (@p9505) :args ((forall @t135 (=> @t133 @t5145)))) % 1.33/1.57 (step @p9507 :rule trans :premises (@p9506 @p9498)) % 1.33/1.57 (step @p9508 :rule cong :premises (@p9324 @p9410) :args (@t130)) % 1.33/1.57 (step @p9509 :rule nary_cong :premises (@p9462 @p9508) :args (@t5146)) % 1.33/1.57 (step @p9510 :rule cong :premises (@p9509) :args ((forall @t118 @t5146))) % 1.33/1.57 (step @p9511 :rule bool-impl-elim :args (@t124 @t130)) % 1.33/1.57 (step @p9512 :rule cong :premises (@p9511) :args (@t131)) % 1.33/1.57 (step @p9513 :rule trans :premises (@p9512 @p9510)) % 1.33/1.57 (step @p9514 :rule cong :premises (@p9513 @p5361) :args (@t132)) % 1.33/1.57 (step @p9515 :rule refl :args (@t133)) % 1.33/1.57 (step @p9516 :rule cong :premises (@p9515 @p9514) :args (@t134)) % 1.33/1.57 (step @p9517 :rule cong :premises (@p9516) :args (@t136)) % 1.33/1.57 (step @p9518 :rule trans :premises (@p9517 @p9507)) % 1.33/1.57 (step @p9519 :rule aci_norm :args ((= @t5148 @t2591))) % 1.33/1.57 (step @p9520 :rule cong :premises (@p9519) :args (@t5149)) % 1.33/1.57 (step @p9521 :rule quant-merge-prenex :args ((= (forall @t118 @t5151) @t5149))) % 1.33/1.57 (step @p9522 :rule alpha_equiv :args (@t5152 (@list @t2588) @t2902)) % 1.33/1.57 (step @p9523 :rule nary_cong :premises (@p9447 @p9522) :args (@t5153)) % 1.33/1.57 (step @p9524 :rule quant-miniscope-or :args ((= @t5151 @t5153))) % 1.33/1.57 (step @p9525 :rule trans :premises (@p9524 @p9523)) % 1.33/1.57 (step @p9526 :rule symm :premises (@p9525)) % 1.33/1.57 (step @p9527 :rule cong :premises (@p9526) :args ((forall @t118 (or @t2579 @t2567)))) % 1.33/1.57 (step @p9528 :rule trans :premises (@p9527 @p9521)) % 1.33/1.57 (step @p9529 :rule trans :premises (@p9528 @p9520)) % 1.33/1.57 (step @p9530 :rule refl :args (@t2567)) % 1.33/1.57 (step @p9531 :rule nary_cong :premises (@p9462 @p9530) :args (@t5154)) % 1.33/1.57 (step @p9532 :rule cong :premises (@p9531) :args ((forall @t118 @t5154))) % 1.33/1.57 (step @p9533 :rule trans :premises (@p9532 @p9529)) % 1.33/1.57 (step @p9534 :rule bool-impl-elim :args (@t124 @t2567)) % 1.33/1.57 (step @p9535 :rule cong :premises (@p9534) :args ((forall @t118 (=> @t124 @t2567)))) % 1.33/1.57 (step @p9536 :rule trans :premises (@p9535 @p9533)) % 1.33/1.57 (step @p9537 :rule refl :args (@t124)) % 1.33/1.57 (step @p9538 :rule cong :premises (@p9537 @p9436) :args (@t137)) % 1.33/1.57 (step @p9539 :rule cong :premises (@p9538) :args (@t138)) % 1.33/1.57 (step @p9540 :rule trans :premises (@p9539 @p9536)) % 1.33/1.57 (step @p9541 :rule nary_cong :premises (@p9540 @p9518 @p9495 @p9440) :args (@t139)) % 1.33/1.57 (step @p9542 :rule cong :premises (@p9541) :args (@t140)) % 1.33/1.57 (step @p9543 :rule trans :premises (@p9542 @p9296)) % 1.33/1.57 (step @p9544 :rule cong :premises (@p9543) :args (@t141)) % 1.33/1.57 (step @p9545 :rule refl :args (tptp.wellorderingAx)) % 1.33/1.57 (step @p9546 :rule cong :premises (@p9545 @p9544) :args (@t142)) % 1.33/1.57 (step @p9547 :rule eq_resolve :premises (@p11 @p9546)) % 1.33/1.57 (step @p9548 :rule cong :premises (@p9547 @p9281) :args (@t5155)) % 1.33/1.57 (step @p9549 :rule quant-merge-prenex :args ((= (forall @t64 @t5157) @t2604))) % 1.33/1.57 (step @p9550 :rule refl :args (@t2600)) % 1.33/1.57 (step @p9551 :rule alpha_equiv :args (@t5158 (@list @t2601) @t2902)) % 1.33/1.57 (step @p9552 :rule nary_cong :premises (@p9551 @p9550) :args (@t5159)) % 1.33/1.57 (step @p9553 :rule quant-miniscope-or :args ((= @t5157 @t5159))) % 1.33/1.57 (step @p9554 :rule trans :premises (@p9553 @p9552)) % 1.33/1.57 (step @p9555 :rule symm :premises (@p9554)) % 1.33/1.57 (step @p9556 :rule cong :premises (@p9555) :args ((forall @t64 (or @t2450 @t2600)))) % 1.33/1.57 (step @p9557 :rule trans :premises (@p9556 @p9549)) % 1.33/1.57 (step @p9558 :rule nary_cong :premises (@p8925 @p9550) :args ((or @t4996 @t2600))) % 1.33/1.57 (step @p9559 :rule bool-impl-elim :args (@t2451 @t2600)) % 1.33/1.57 (step @p9560 :rule trans :premises (@p9559 @p9558)) % 1.33/1.57 (step @p9561 :rule cong :premises (@p9560) :args ((forall @t64 (=> @t2451 @t2600)))) % 1.33/1.57 (step @p9562 :rule trans :premises (@p9561 @p9557)) % 1.33/1.57 (step @p9563 :rule refl :args (@t2599)) % 1.33/1.57 (step @p9564 :rule nary_cong :premises (@p8664 @p9563) :args (@t5160)) % 1.33/1.57 (step @p9565 :rule cong :premises (@p9564) :args ((forall @t41 @t5160))) % 1.33/1.57 (step @p9566 :rule bool-and-de-morgan :args (@t39 @t2598 true)) % 1.33/1.57 (step @p9567 :rule cong :premises (@p9566) :args (@t5162)) % 1.33/1.57 (step @p9568 :rule trans :premises (@p9567 @p9565)) % 1.33/1.57 (step @p9569 :rule cong :premises (@p9568) :args (@t5163)) % 1.33/1.57 (step @p9570 :rule exists-elim :args ((= (exists @t41 @t5161) @t5163))) % 1.33/1.57 (step @p9571 :rule trans :premises (@p9570 @p9569)) % 1.33/1.57 (step @p9572 :rule bool-double-not-elim :args (@t2598)) % 1.33/1.57 (step @p9573 :rule nary_cong :premises (@p6359 @p910) :args (@t5164)) % 1.33/1.57 (step @p9574 :rule cong :premises (@p9573) :args ((forall @t9 @t5164))) % 1.33/1.57 (step @p9575 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 1.33/1.58 (step @p9576 :rule cong :premises (@p9575) :args (@t5165)) % 1.33/1.58 (step @p9577 :rule trans :premises (@p9576 @p9574)) % 1.33/1.58 (step @p9578 :rule cong :premises (@p9577) :args (@t5166)) % 1.33/1.58 (step @p9579 :rule exists-elim :args ((= @t85 @t5166))) % 1.33/1.58 (step @p9580 :rule trans :premises (@p9579 @p9578)) % 1.33/1.58 (step @p9581 :rule cong :premises (@p9580) :args (@t86)) % 1.33/1.58 (step @p9582 :rule trans :premises (@p9581 @p9572)) % 1.33/1.58 (step @p9583 :rule refl :args (@t39)) % 1.33/1.58 (step @p9584 :rule nary_cong :premises (@p9583 @p9582) :args (@t87)) % 1.33/1.58 (step @p9585 :rule cong :premises (@p9584) :args (@t88)) % 1.33/1.58 (step @p9586 :rule trans :premises (@p9585 @p9571)) % 1.33/1.58 (step @p9587 :rule cong :premises (@p8550 @p9586) :args (@t90)) % 1.33/1.58 (step @p9588 :rule cong :premises (@p9587) :args (@t91)) % 1.33/1.58 (step @p9589 :rule trans :premises (@p9588 @p9562)) % 1.33/1.58 (step @p9590 :rule refl :args (tptp.foundationAx)) % 1.33/1.58 (step @p9591 :rule cong :premises (@p9590 @p9589) :args (@t92)) % 1.33/1.58 (step @p9592 :rule eq_resolve :premises (@p10 @p9591)) % 1.33/1.58 (step @p9593 :rule cong :premises (@p9592 @p9548) :args (@t5167)) % 1.33/1.58 (step @p9594 :rule bool-impl-elim :args (@t2617 @t2609)) % 1.33/1.58 (step @p9595 :rule cong :premises (@p9594) :args ((forall @t81 (=> @t2617 @t2609)))) % 1.33/1.58 (step @p9596 :rule exists-elim :args ((= (exists @t41 @t2608) @t2609))) % 1.33/1.58 (step @p9597 :rule refl :args (@t2607)) % 1.33/1.58 (step @p9598 :rule cong :premises (@p6336 @p9597) :args (@t5168)) % 1.33/1.58 (step @p9599 :rule cong :premises (@p9598) :args ((forall @t9 @t5168))) % 1.33/1.58 (step @p9600 :rule refl :args (@t2606)) % 1.33/1.58 (step @p9601 :rule refl :args (@t68)) % 1.33/1.58 (step @p9602 :rule cong :premises (@p9601 @p9600) :args ((= @t68 @t2606))) % 1.33/1.58 (step @p9603 :rule symm :premises (@p9602)) % 1.33/1.58 (step @p9604 :rule eq_resolve :premises (@p9601 @p9603)) % 1.33/1.58 (step @p9605 :rule cong :premises (@p9604) :args (@t5169)) % 1.33/1.58 (step @p9606 :rule nary_cong :premises (@p2503 @p9605) :args (@t5170)) % 1.33/1.58 (step @p9607 :rule cong :premises (@p9606) :args ((forall @t70 @t5170))) % 1.33/1.58 (step @p9608 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 1.33/1.58 (step @p9609 :rule cong :premises (@p9608) :args (@t5171)) % 1.33/1.58 (step @p9610 :rule trans :premises (@p9609 @p9607)) % 1.33/1.58 (step @p9611 :rule cong :premises (@p9610) :args (@t5172)) % 1.33/1.58 (step @p9612 :rule exists-elim :args ((= @t71 @t5172))) % 1.33/1.58 (step @p9613 :rule trans :premises (@p9612 @p9611)) % 1.33/1.58 (step @p9614 :rule refl :args (@t6)) % 1.33/1.58 (step @p9615 :rule cong :premises (@p9614 @p9613) :args (@t72)) % 1.33/1.58 (step @p9616 :rule cong :premises (@p9615) :args (@t73)) % 1.33/1.58 (step @p9617 :rule trans :premises (@p9616 @p9599)) % 1.33/1.58 (step @p9618 :rule cong :premises (@p9617) :args (@t74)) % 1.33/1.58 (step @p9619 :rule trans :premises (@p9618 @p9596)) % 1.33/1.58 (step @p9620 :rule refl :args (@t2616)) % 1.33/1.58 (step @p9621 :rule nary_cong :premises (@p910 @p9620) :args (@t5173)) % 1.33/1.58 (step @p9622 :rule cong :premises (@p9621) :args ((forall @t9 @t5173))) % 1.33/1.58 (step @p9623 :rule bool-impl-elim :args (@t7 @t2616)) % 1.33/1.58 (step @p9624 :rule cong :premises (@p9623) :args ((forall @t9 (=> @t7 @t2616)))) % 1.33/1.58 (step @p9625 :rule trans :premises (@p9624 @p9622)) % 1.33/1.58 (step @p9626 :rule refl :args (@t2613)) % 1.33/1.58 (step @p9627 :rule refl :args (@t2614)) % 1.33/1.58 (step @p9628 :rule refl :args (@t5174)) % 1.33/1.58 (step @p9629 :rule cong :premises (@p9628 @p9627) :args ((= @t5174 @t2614))) % 1.33/1.58 (step @p9630 :rule symm :premises (@p9629)) % 1.33/1.58 (step @p9631 :rule eq_resolve :premises (@p9628 @p9630)) % 1.33/1.58 (step @p9632 :rule cong :premises (@p9631) :args (@t5175)) % 1.33/1.58 (step @p9633 :rule nary_cong :premises (@p9632 @p9626) :args (@t5176)) % 1.33/1.58 (step @p9634 :rule cong :premises (@p9633) :args ((forall @t2615 @t5176))) % 1.33/1.58 (step @p9635 :rule refl :args (@t2611)) % 1.33/1.58 (step @p9636 :rule nary_cong :premises (@p4843 @p9635) :args (@t5177)) % 1.33/1.58 (step @p9637 :rule cong :premises (@p9636) :args ((forall @t70 @t5177))) % 1.33/1.58 (step @p9638 :rule refl :args (@t2611)) % 1.33/1.58 (step @p9639 :rule beta-reduce :args ((= @t5178 @t76))) % 1.33/1.58 (step @p9640 :rule cong :premises (@p9639) :args (@t5179)) % 1.33/1.58 (step @p9641 :rule nary_cong :premises (@p9640 @p9638) :args (@t5180)) % 1.33/1.58 (step @p9642 :rule cong :premises (@p9641) :args (@t5181)) % 1.33/1.58 (step @p9643 :rule trans :premises (@p9642 @p9637)) % 1.33/1.58 (step @p9644 :rule cong :premises (@p9643) :args (@t5182)) % 1.33/1.58 (step @p9645 :rule beta-reduce :args ((= @t5183 @t5174))) % 1.33/1.58 (step @p9646 :rule cong :premises (@p9645) :args (@t5184)) % 1.33/1.58 (step @p9647 :rule nary_cong :premises (@p9646 @p9644) :args (@t5185)) % 1.33/1.58 (step @p9648 :rule cong :premises (@p9647) :args (@t5186)) % 1.33/1.58 (step @p9649 :rule trans :premises (@p9648 @p9634)) % 1.33/1.58 (step @p9650 :rule cong :premises (@p9649) :args (@t5187)) % 1.33/1.58 (step @p9651 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t2615 (or @t5188 (not (forall @t70 (or @t2168 @t2611))))))) @t77) @t5187))) % 1.33/1.58 (step @p9652 :rule trans :premises (@p9651 @p9650)) % 1.33/1.58 (step @p9653 :rule refl :args (@t77)) % 1.33/1.58 (step @p9654 :rule eq-symm :args (@t2610 @t19)) % 1.33/1.58 (step @p9655 :rule nary_cong :premises (@p7572 @p9654) :args (@t5189)) % 1.33/1.58 (step @p9656 :rule cong :premises (@p9655) :args (@t5190)) % 1.33/1.58 (step @p9657 :rule cong :premises (@p9656) :args (@t5191)) % 1.33/1.58 (step @p9658 :rule refl :args (@t5188)) % 1.33/1.58 (step @p9659 :rule nary_cong :premises (@p9658 @p9657) :args (@t5192)) % 1.33/1.58 (step @p9660 :rule cong :premises (@p9659) :args (@t5193)) % 1.33/1.58 (step @p9661 :rule cong :premises (@p9660) :args (@t5194)) % 1.33/1.58 (step @p9662 :rule cong :premises (@p9661) :args ((lambda @t150 @t5194))) % 1.33/1.58 (step @p9663 :rule ho_cong :premises (@p9662 @p9653)) % 1.33/1.58 (step @p9664 :rule trans :premises (@p9663 @p9652)) % 1.33/1.58 (step @p9665 :rule refl :args (@t77)) % 1.33/1.58 (step @p9666 :rule alpha_equiv :args (@t2402 @t2902 (@list @t2610))) % 1.33/1.58 (step @p9667 :rule cong :premises (@p9666) :args (@t2403)) % 1.33/1.58 (step @p9668 :rule cong :premises (@p9667) :args (@t4675)) % 1.33/1.58 (step @p9669 :rule ho_cong :premises (@p9668 @p9665)) % 1.33/1.58 (step @p9670 :rule trans :premises (@p9669 @p9664)) % 1.33/1.58 (step @p9671 :rule cong :premises (@p2509 @p9670) :args (@t5195)) % 1.33/1.58 (step @p9672 :rule cong :premises (@p9671) :args (@t5196)) % 1.33/1.58 (step @p9673 :rule trans :premises (@p9672 @p9625)) % 1.33/1.58 (step @p9674 :rule cong :premises (@p9673 @p9619) :args (@t5197)) % 1.33/1.58 (step @p9675 :rule cong :premises (@p9674) :args (@t5198)) % 1.33/1.58 (step @p9676 :rule trans :premises (@p9675 @p9595)) % 1.33/1.58 (step @p9677 :rule refl :args (tptp.replAx)) % 1.33/1.58 (step @p9678 :rule cong :premises (@p9677 @p9676) :args ((= tptp.replAx @t5198))) % 1.33/1.58 (step @p9679 :rule refl :args (@t74)) % 1.33/1.58 (step @p9680 :rule ho_cong :premises (@p7732 @p9653)) % 1.33/1.58 (step @p9681 :rule cong :premises (@p2509 @p9680) :args (@t78)) % 1.33/1.58 (step @p9682 :rule cong :premises (@p9681) :args (@t79)) % 1.33/1.58 (step @p9683 :rule cong :premises (@p9682 @p9679) :args (@t80)) % 1.33/1.58 (step @p9684 :rule cong :premises (@p9683) :args (@t82)) % 1.33/1.58 (step @p9685 :rule cong :premises (@p9677 @p9684) :args (@t83)) % 1.33/1.58 (step @p9686 :rule trans :premises (@p9685 @p9678)) % 1.33/1.58 (step @p9687 :rule eq_resolve :premises (@p9 @p9686)) % 1.33/1.58 (step @p9688 :rule cong :premises (@p9687 @p9593) :args (@t5199)) % 1.33/1.58 (step @p9689 :rule aci_norm :args ((= @t5201 @t2631))) % 1.33/1.58 (step @p9690 :rule cong :premises (@p9689) :args (@t5202)) % 1.33/1.58 (step @p9691 :rule quant-merge-prenex :args ((= (forall @t64 @t5204) @t5202))) % 1.33/1.58 (step @p9692 :rule alpha_equiv :args (@t5205 (@list @t2620) @t2902)) % 1.33/1.58 (step @p9693 :rule refl :args (@t2628)) % 1.33/1.58 (step @p9694 :rule refl :args (@t2630)) % 1.33/1.58 (step @p9695 :rule nary_cong :premises (@p9694 @p9693 @p9692) :args (@t5206)) % 1.33/1.58 (step @p9696 :rule quant-miniscope-or :args ((= @t5204 @t5206))) % 1.33/1.58 (step @p9697 :rule trans :premises (@p9696 @p9695)) % 1.33/1.58 (step @p9698 :rule symm :premises (@p9697)) % 1.33/1.58 (step @p9699 :rule cong :premises (@p9698) :args ((forall @t64 (or @t2630 @t2628 @t5207)))) % 1.33/1.58 (step @p9700 :rule trans :premises (@p9699 @p9691)) % 1.33/1.58 (step @p9701 :rule trans :premises (@p9700 @p9690)) % 1.33/1.58 (step @p9702 :rule refl :args (@t5207)) % 1.33/1.58 (step @p9703 :rule refl :args (@t2629)) % 1.33/1.58 (step @p9704 :rule refl :args (@t61)) % 1.33/1.58 (step @p9705 :rule cong :premises (@p9704 @p9703) :args ((= @t61 @t2629))) % 1.33/1.58 (step @p9706 :rule symm :premises (@p9705)) % 1.33/1.58 (step @p9707 :rule eq_resolve :premises (@p9704 @p9706)) % 1.33/1.58 (step @p9708 :rule cong :premises (@p9707) :args (@t5208)) % 1.33/1.58 (step @p9709 :rule nary_cong :premises (@p9708 @p9693 @p9702) :args (@t5209)) % 1.33/1.58 (step @p9710 :rule cong :premises (@p9709) :args ((forall @t64 @t5209))) % 1.33/1.58 (step @p9711 :rule trans :premises (@p9710 @p9701)) % 1.33/1.58 (step @p9712 :rule aci_norm :args ((= (or (or @t5208 @t2628) @t5207) @t5209))) % 1.33/1.58 (step @p9713 :rule bool-and-de-morgan :args (@t61 @t2627 true)) % 1.33/1.58 (step @p9714 :rule nary_cong :premises (@p9713 @p9702) :args ((or (not @t5210) @t5207))) % 1.33/1.58 (step @p9715 :rule trans :premises (@p9714 @p9712)) % 1.33/1.58 (step @p9716 :rule bool-impl-elim :args (@t5210 @t5207)) % 1.33/1.58 (step @p9717 :rule trans :premises (@p9716 @p9715)) % 1.33/1.58 (step @p9718 :rule cong :premises (@p9717) :args ((forall @t64 (=> @t5210 @t5207)))) % 1.33/1.58 (step @p9719 :rule trans :premises (@p9718 @p9711)) % 1.33/1.58 (step @p9720 :rule refl :args (@t2625)) % 1.33/1.58 (step @p9721 :rule refl :args (@t54)) % 1.33/1.58 (step @p9722 :rule cong :premises (@p9721 @p9720) :args ((= @t54 @t2625))) % 1.33/1.58 (step @p9723 :rule symm :premises (@p9722)) % 1.33/1.58 (step @p9724 :rule eq_resolve :premises (@p9721 @p9723)) % 1.33/1.58 (step @p9725 :rule cong :premises (@p9724) :args (@t5211)) % 1.33/1.58 (step @p9726 :rule nary_cong :premises (@p9725 @p909) :args (@t5212)) % 1.33/1.58 (step @p9727 :rule cong :premises (@p9726) :args ((forall @t9 @t5212))) % 1.33/1.58 (step @p9728 :rule bool-impl-elim :args (@t54 @t7)) % 1.33/1.58 (step @p9729 :rule cong :premises (@p9728) :args (@t57)) % 1.33/1.58 (step @p9730 :rule trans :premises (@p9729 @p9727)) % 1.33/1.58 (step @p9731 :rule refl :args ((tptp.in @t51 @t2))) % 1.33/1.58 (step @p9732 :rule refl :args (@t2623)) % 1.33/1.58 (step @p9733 :rule cong :premises (@p9732 @p1248) :args (@t2624)) % 1.33/1.58 (step @p9734 :rule trans :premises (@p9733 @p9731)) % 1.33/1.58 (step @p9735 :rule ho_cong :premises (@p1255 @p9732)) % 1.33/1.58 (step @p9736 :rule ho_cong :premises (@p9735 @p1248)) % 1.33/1.58 (step @p9737 :rule cong :premises (@p9736 @p9734) :args ((= (_ @t5213 @t2) @t2624))) % 1.33/1.58 (step @p9738 :rule symm :premises (@p9737)) % 1.33/1.58 (step @p9739 :rule refl :args (@t58)) % 1.33/1.58 (step @p9740 :rule eq_resolve :premises (@p9739 @p9738)) % 1.33/1.58 (step @p9741 :rule refl :args (@t51)) % 1.33/1.58 (step @p9742 :rule cong :premises (@p9741 @p9732) :args ((= @t51 @t2623))) % 1.33/1.58 (step @p9743 :rule symm :premises (@p9742)) % 1.33/1.58 (step @p9744 :rule eq_resolve :premises (@p9741 @p9743)) % 1.33/1.58 (step @p9745 :rule ho_cong :premises (@p1255 @p9744)) % 1.33/1.58 (step @p9746 :rule ho_cong :premises (@p9745 @p1248)) % 1.33/1.58 (step @p9747 :rule trans :premises (@p9746 @p9740)) % 1.33/1.58 (step @p9748 :rule nary_cong :premises (@p9725 @p910 @p9747) :args (@t5214)) % 1.33/1.58 (step @p9749 :rule cong :premises (@p9748) :args ((forall @t9 @t5214))) % 1.33/1.58 (step @p9750 :rule aci_norm :args ((= (or (or @t5211 @t197) @t58) @t5214))) % 1.33/1.58 (step @p9751 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 1.33/1.58 (step @p9752 :rule nary_cong :premises (@p9751 @p9739) :args ((or (not @t59) @t58))) % 1.33/1.58 (step @p9753 :rule trans :premises (@p9752 @p9750)) % 1.33/1.58 (step @p9754 :rule bool-impl-elim :args (@t59 @t58)) % 1.33/1.58 (step @p9755 :rule trans :premises (@p9754 @p9753)) % 1.33/1.58 (step @p9756 :rule cong :premises (@p9755) :args (@t60)) % 1.33/1.58 (step @p9757 :rule trans :premises (@p9756 @p9749)) % 1.33/1.58 (step @p9758 :rule refl :args (@t61)) % 1.33/1.58 (step @p9759 :rule nary_cong :premises (@p9758 @p9757) :args (@t62)) % 1.33/1.58 (step @p9760 :rule cong :premises (@p9759 @p9730) :args (@t63)) % 1.33/1.58 (step @p9761 :rule cong :premises (@p9760) :args (@t65)) % 1.33/1.58 (step @p9762 :rule trans :premises (@p9761 @p9719)) % 1.33/1.58 (step @p9763 :rule refl :args (tptp.omegaIndAx)) % 1.33/1.58 (step @p9764 :rule cong :premises (@p9763 @p9762) :args (@t66)) % 1.33/1.58 (step @p9765 :rule eq_resolve :premises (@p8 @p9764)) % 1.33/1.58 (step @p9766 :rule cong :premises (@p9765 @p9688) :args (@t5215)) % 1.33/1.58 (step @p9767 :rule refl :args ((tptp.in @t51 tptp.omega))) % 1.33/1.58 (step @p9768 :rule refl :args (tptp.omega)) % 1.33/1.58 (step @p9769 :rule cong :premises (@p9732 @p9768) :args (@t2635)) % 1.33/1.58 (step @p9770 :rule trans :premises (@p9769 @p9767)) % 1.33/1.58 (step @p9771 :rule ho_cong :premises (@p9735 @p9768)) % 1.33/1.58 (step @p9772 :rule cong :premises (@p9771 @p9770) :args ((= (_ @t5213 tptp.omega) @t2635))) % 1.33/1.58 (step @p9773 :rule symm :premises (@p9772)) % 1.33/1.58 (step @p9774 :rule refl :args (@t53)) % 1.33/1.58 (step @p9775 :rule eq_resolve :premises (@p9774 @p9773)) % 1.33/1.58 (step @p9776 :rule ho_cong :premises (@p9745 @p9768)) % 1.33/1.58 (step @p9777 :rule trans :premises (@p9776 @p9775)) % 1.33/1.58 (step @p9778 :rule nary_cong :premises (@p9725 @p9777) :args (@t5216)) % 1.33/1.58 (step @p9779 :rule cong :premises (@p9778) :args ((forall @t9 @t5216))) % 1.33/1.58 (step @p9780 :rule bool-impl-elim :args (@t54 @t53)) % 1.33/1.58 (step @p9781 :rule cong :premises (@p9780) :args (@t55)) % 1.33/1.58 (step @p9782 :rule trans :premises (@p9781 @p9779)) % 1.33/1.58 (step @p9783 :rule refl :args (tptp.omegaSAx)) % 1.33/1.58 (step @p9784 :rule cong :premises (@p9783 @p9782) :args (@t56)) % 1.33/1.58 (step @p9785 :rule eq_resolve :premises (@p7 @p9784)) % 1.33/1.58 (step @p9786 :rule cong :premises (@p9785 @p9766) :args (@t5217)) % 1.33/1.58 (step @p9787 :rule cong :premises (@p6 @p9786) :args (@t5218)) % 1.33/1.58 (step @p9788 :rule eq-symm :args (@t2188 @t2469)) % 1.33/1.58 (step @p9789 :rule cong :premises (@p9788) :args ((forall @t46 (= @t2188 @t2469)))) % 1.33/1.58 (step @p9790 :rule cong :premises (@p5783 @p8633) :args (@t5219)) % 1.33/1.58 (step @p9791 :rule cong :premises (@p9790) :args ((forall @t46 @t5219))) % 1.33/1.58 (step @p9792 :rule trans :premises (@p9791 @p9789)) % 1.33/1.58 (step @p9793 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 1.33/1.58 (step @p9794 :rule cong :premises (@p9793) :args (@t5220)) % 1.33/1.58 (step @p9795 :rule trans :premises (@p9794 @p8666)) % 1.33/1.58 (step @p9796 :rule cong :premises (@p9795) :args (@t5221)) % 1.33/1.58 (step @p9797 :rule exists-elim :args ((= @t42 @t5221))) % 1.33/1.58 (step @p9798 :rule trans :premises (@p9797 @p9796)) % 1.33/1.58 (step @p9799 :rule cong :premises (@p5804 @p9798) :args (@t45)) % 1.33/1.58 (step @p9800 :rule cong :premises (@p9799) :args (@t47)) % 1.33/1.58 (step @p9801 :rule trans :premises (@p9800 @p9792)) % 1.33/1.58 (step @p9802 :rule refl :args (tptp.setunionAx)) % 1.33/1.58 (step @p9803 :rule cong :premises (@p9802 @p9801) :args (@t48)) % 1.33/1.58 (step @p9804 :rule eq_resolve :premises (@p5 @p9803)) % 1.33/1.58 (step @p9805 :rule cong :premises (@p9804 @p9787) :args (@t5222)) % 1.33/1.58 (step @p9806 :rule eq-symm :args (@t2333 @t2480)) % 1.33/1.58 (step @p9807 :rule cong :premises (@p9806) :args ((forall @t12 (= @t2333 @t2480)))) % 1.33/1.58 (step @p9808 :rule refl :args (@t2480)) % 1.33/1.58 (step @p9809 :rule cong :premises (@p7099 @p9808) :args (@t5223)) % 1.33/1.58 (step @p9810 :rule cong :premises (@p9809) :args ((forall @t12 @t5223))) % 1.33/1.58 (step @p9811 :rule trans :premises (@p9810 @p9807)) % 1.33/1.58 (step @p9812 :rule cong :premises (@p8750 @p8754) :args (@t36)) % 1.33/1.58 (step @p9813 :rule cong :premises (@p9812) :args (@t37)) % 1.33/1.58 (step @p9814 :rule trans :premises (@p9813 @p9811)) % 1.33/1.58 (step @p9815 :rule refl :args (tptp.powersetAx)) % 1.33/1.58 (step @p9816 :rule cong :premises (@p9815 @p9814) :args (@t38)) % 1.33/1.58 (step @p9817 :rule eq_resolve :premises (@p4 @p9816)) % 1.33/1.58 (step @p9818 :rule cong :premises (@p9817 @p9805) :args (@t5224)) % 1.33/1.58 (step @p9819 :rule nary_cong :premises (@p4188 @p2502) :args (@t4965)) % 1.33/1.58 (step @p9820 :rule cong :premises (@p8795 @p9819) :args (@t5225)) % 1.33/1.58 (step @p9821 :rule cong :premises (@p9820) :args ((forall @t28 @t5225))) % 1.33/1.58 (step @p9822 :rule cong :premises (@p8805 @p8804) :args (@t27)) % 1.33/1.58 (step @p9823 :rule cong :premises (@p9822) :args (@t29)) % 1.33/1.58 (step @p9824 :rule trans :premises (@p9823 @p9821)) % 1.33/1.58 (step @p9825 :rule refl :args (tptp.setadjoinAx)) % 1.33/1.58 (step @p9826 :rule cong :premises (@p9825 @p9824) :args (@t30)) % 1.33/1.58 (step @p9827 :rule eq_resolve :premises (@p3 @p9826)) % 1.33/1.58 (step @p9828 :rule cong :premises (@p9827 @p9818) :args (@t5226)) % 1.33/1.58 (step @p9829 :rule refl :args (tptp.emptysetAx)) % 1.33/1.58 (step @p9830 :rule cong :premises (@p9829 @p9105) :args (@t18)) % 1.33/1.58 (step @p9831 :rule eq_resolve :premises (@p2 @p9830)) % 1.33/1.58 (step @p9832 :rule cong :premises (@p9831 @p9828) :args (@t5227)) % 1.33/1.58 (step @p9833 :rule bool-impl-elim :args (@t2648 @t3)) % 1.33/1.58 (step @p9834 :rule cong :premises (@p9833) :args ((forall @t12 (=> @t2648 @t3)))) % 1.33/1.58 (step @p9835 :rule cong :premises (@p909 @p6336) :args (@t8)) % 1.33/1.58 (step @p9836 :rule cong :premises (@p9835) :args (@t10)) % 1.33/1.58 (step @p9837 :rule cong :premises (@p9836 @p7557) :args (@t11)) % 1.33/1.58 (step @p9838 :rule cong :premises (@p9837) :args (@t13)) % 1.33/1.58 (step @p9839 :rule trans :premises (@p9838 @p9834)) % 1.33/1.58 (step @p9840 :rule refl :args (tptp.setextAx)) % 1.33/1.58 (step @p9841 :rule cong :premises (@p9840 @p9839) :args (@t14)) % 1.33/1.58 (step @p9842 :rule eq_resolve :premises (@p1 @p9841)) % 1.33/1.58 (step @p9843 :rule cong :premises (@p9842 @p9832) :args (@t5228)) % 1.33/1.58 (step @p9844 :rule cong :premises (@p9843) :args ((not @t5228))) % 1.33/1.58 (step @p9845 :rule trans :premises (@p9844 @p769)) % 1.33/1.58 (step @p9846 :rule aci_norm :args ((= @t5230 @t1637))) % 1.33/1.58 (step @p9847 :rule cong :premises (@p9846) :args (@t5231)) % 1.33/1.58 (step @p9848 :rule quant-merge-prenex :args ((= (forall @t1138 @t5233) @t5231))) % 1.33/1.58 (step @p9849 :rule alpha_equiv :args (@t5234 (@list @t1627 @t1626 @t1628) (@list @t1129 @t5236 @t5235))) % 1.33/1.58 (step @p9850 :rule nary_cong :premises (@p775 @p9849) :args (@t5237)) % 1.33/1.58 (step @p9851 :rule quant-miniscope-or :args ((= @t5233 @t5237))) % 1.33/1.58 (step @p9852 :rule trans :premises (@p9851 @p9850)) % 1.33/1.58 (step @p9853 :rule symm :premises (@p9852)) % 1.33/1.58 (step @p9854 :rule cong :premises (@p9853) :args ((forall @t1138 (or @t1636 @t5244)))) % 1.33/1.58 (step @p9855 :rule trans :premises (@p9854 @p9848)) % 1.33/1.58 (step @p9856 :rule trans :premises (@p9855 @p9847)) % 1.33/1.58 (step @p9857 :rule refl :args (@t5244)) % 1.33/1.58 (step @p9858 :rule nary_cong :premises (@p801 @p9857) :args (@t5245)) % 1.33/1.58 (step @p9859 :rule cong :premises (@p9858) :args ((forall @t1138 @t5245))) % 1.33/1.58 (step @p9860 :rule trans :premises (@p9859 @p9856)) % 1.33/1.58 (step @p9861 :rule bool-impl-elim :args (@t1136 @t5244)) % 1.33/1.58 (step @p9862 :rule cong :premises (@p9861) :args ((forall @t1138 (=> @t1136 @t5244)))) % 1.33/1.58 (step @p9863 :rule trans :premises (@p9862 @p9860)) % 1.33/1.58 (step @p9864 :rule aci_norm :args ((= @t5247 @t5242))) % 1.33/1.58 (step @p9865 :rule cong :premises (@p9864) :args (@t5248)) % 1.33/1.58 (step @p9866 :rule quant-merge-prenex :args ((= (forall @t1134 @t5250) @t5248))) % 1.33/1.58 (step @p9867 :rule alpha_equiv :args (@t5251 (@list @t5236 @t5235) (@list @t1338 @t5252))) % 1.33/1.58 (step @p9868 :rule nary_cong :premises (@p812 @p9867) :args (@t5253)) % 1.33/1.58 (step @p9869 :rule quant-miniscope-or :args ((= @t5250 @t5253))) % 1.33/1.58 (step @p9870 :rule trans :premises (@p9869 @p9868)) % 1.33/1.58 (step @p9871 :rule symm :premises (@p9870)) % 1.33/1.58 (step @p9872 :rule cong :premises (@p9871) :args ((forall @t1134 (or @t2871 @t5260)))) % 1.33/1.58 (step @p9873 :rule trans :premises (@p9872 @p9866)) % 1.33/1.58 (step @p9874 :rule trans :premises (@p9873 @p9865)) % 1.33/1.58 (step @p9875 :rule refl :args (@t5260)) % 1.33/1.58 (step @p9876 :rule nary_cong :premises (@p833 @p9875) :args (@t5261)) % 1.33/1.58 (step @p9877 :rule cong :premises (@p9876) :args ((forall @t1134 @t5261))) % 1.33/1.58 (step @p9878 :rule trans :premises (@p9877 @p9874)) % 1.33/1.58 (step @p9879 :rule bool-impl-elim :args (@t1133 @t5260)) % 1.33/1.58 (step @p9880 :rule cong :premises (@p9879) :args ((forall @t1134 (=> @t1133 @t5260)))) % 1.33/1.58 (step @p9881 :rule trans :premises (@p9880 @p9878)) % 1.33/1.58 (step @p9882 :rule aci_norm :args ((= @t5263 @t5258))) % 1.33/1.58 (step @p9883 :rule cong :premises (@p9882) :args (@t5264)) % 1.33/1.58 (step @p9884 :rule quant-merge-prenex :args ((= (forall @t1346 @t5266) @t5264))) % 1.33/1.58 (step @p9885 :rule alpha_equiv :args (@t5267 (@list @t5252) @t2902)) % 1.33/1.58 (step @p9886 :rule nary_cong :premises (@p844 @p9885) :args (@t5268)) % 1.33/1.58 (step @p9887 :rule quant-miniscope-or :args ((= @t5266 @t5268))) % 1.33/1.58 (step @p9888 :rule trans :premises (@p9887 @p9886)) % 1.33/1.58 (step @p9889 :rule symm :premises (@p9888)) % 1.33/1.58 (step @p9890 :rule cong :premises (@p9889) :args ((forall @t1346 (or @t2890 @t5270)))) % 1.33/1.58 (step @p9891 :rule trans :premises (@p9890 @p9884)) % 1.33/1.58 (step @p9892 :rule trans :premises (@p9891 @p9883)) % 1.33/1.58 (step @p9893 :rule refl :args (@t5270)) % 1.33/1.58 (step @p9894 :rule nary_cong :premises (@p865 @p9893) :args (@t5271)) % 1.33/1.58 (step @p9895 :rule cong :premises (@p9894) :args ((forall @t1346 @t5271))) % 1.33/1.58 (step @p9896 :rule trans :premises (@p9895 @p9892)) % 1.33/1.58 (step @p9897 :rule bool-impl-elim :args (@t1344 @t5270)) % 1.33/1.58 (step @p9898 :rule cong :premises (@p9897) :args ((forall @t1346 (=> @t1344 @t5270)))) % 1.33/1.58 (step @p9899 :rule trans :premises (@p9898 @p9896)) % 1.33/1.58 (step @p9900 :rule refl :args ((tptp.in @t4 @t1353))) % 1.33/1.58 (step @p9901 :rule refl :args (@t5254)) % 1.33/1.58 (step @p9902 :rule cong :premises (@p874 @p9901) :args (@t5269)) % 1.33/1.58 (step @p9903 :rule trans :premises (@p9902 @p9900)) % 1.33/1.58 (step @p9904 :rule ho_cong :premises (@p877 @p9901)) % 1.33/1.58 (step @p9905 :rule cong :premises (@p9904 @p9903) :args ((= (_ @t5 @t5254) @t5269))) % 1.33/1.58 (step @p9906 :rule symm :premises (@p9905)) % 1.33/1.58 (step @p9907 :rule refl :args (@t1354)) % 1.33/1.58 (step @p9908 :rule eq_resolve :premises (@p9907 @p9906)) % 1.33/1.58 (step @p9909 :rule refl :args (@t1353)) % 1.33/1.58 (step @p9910 :rule cong :premises (@p9909 @p9901) :args ((= @t1353 @t5254))) % 1.33/1.58 (step @p9911 :rule symm :premises (@p9910)) % 1.33/1.58 (step @p9912 :rule eq_resolve :premises (@p9909 @p9911)) % 1.33/1.58 (step @p9913 :rule ho_cong :premises (@p877 @p9912)) % 1.33/1.58 (step @p9914 :rule trans :premises (@p9913 @p9908)) % 1.33/1.58 (step @p9915 :rule nary_cong :premises (@p910 @p904 @p9914) :args (@t5272)) % 1.33/1.58 (step @p9916 :rule cong :premises (@p9915) :args ((forall @t9 @t5272))) % 1.33/1.58 (step @p9917 :rule aci_norm :args ((= (or @t197 (or @t1213 @t1354)) @t5272))) % 1.33/1.58 (step @p9918 :rule bool-impl-elim :args (@t1212 @t1354)) % 1.33/1.58 (step @p9919 :rule nary_cong :premises (@p915 @p9918) :args ((or @t197 @t1355))) % 1.33/1.58 (step @p9920 :rule trans :premises (@p9919 @p9917)) % 1.33/1.58 (step @p9921 :rule bool-impl-elim :args (@t7 @t1355)) % 1.33/1.58 (step @p9922 :rule trans :premises (@p9921 @p9920)) % 1.33/1.58 (step @p9923 :rule cong :premises (@p9922) :args (@t1356)) % 1.33/1.58 (step @p9924 :rule trans :premises (@p9923 @p9916)) % 1.33/1.58 (step @p9925 :rule cong :premises (@p922 @p9924) :args (@t1357)) % 1.33/1.58 (step @p9926 :rule cong :premises (@p9925) :args (@t1358)) % 1.33/1.58 (step @p9927 :rule trans :premises (@p9926 @p9899)) % 1.33/1.58 (step @p9928 :rule cong :premises (@p926 @p9927) :args (@t1359)) % 1.33/1.58 (step @p9929 :rule cong :premises (@p9928) :args (@t1360)) % 1.33/1.58 (step @p9930 :rule trans :premises (@p9929 @p9881)) % 1.33/1.58 (step @p9931 :rule cong :premises (@p930 @p9930) :args (@t1361)) % 1.33/1.58 (step @p9932 :rule cong :premises (@p9931) :args (@t1362)) % 1.33/1.58 (step @p9933 :rule trans :premises (@p9932 @p9863)) % 1.33/1.58 (step @p9934 :rule cong :premises (@p934 @p9933) :args (@t1363)) % 1.33/1.58 (step @p9935 :rule cong :premises (@p1015 @p9934) :args (@t1364)) % 1.33/1.58 (step @p9936 :rule cong :premises (@p1080 @p9935) :args (@t1365)) % 1.33/1.58 (step @p9937 :rule cong :premises (@p1149 @p9936) :args (@t1366)) % 1.33/1.58 (step @p9938 :rule cong :premises (@p1223 @p9937) :args (@t1367)) % 1.33/1.58 (step @p9939 :rule cong :premises (@p1289 @p9938) :args (@t1368)) % 1.33/1.58 (step @p9940 :rule cong :premises (@p1332 @p9939) :args (@t1369)) % 1.33/1.58 (step @p9941 :rule cong :premises (@p1399 @p9940) :args (@t1370)) % 1.33/1.58 (step @p9942 :rule cong :premises (@p1455 @p9941) :args (@t1371)) % 1.33/1.58 (step @p9943 :rule cong :premises (@p1475 @p9942) :args (@t1372)) % 1.33/1.58 (step @p9944 :rule cong :premises (@p1496 @p9943) :args (@t1373)) % 1.33/1.58 (step @p9945 :rule cong :premises (@p1515 @p9944) :args (@t1374)) % 1.33/1.58 (step @p9946 :rule cong :premises (@p1561 @p9945) :args (@t1375)) % 1.33/1.58 (step @p9947 :rule cong :premises (@p1596 @p9946) :args (@t1376)) % 1.33/1.58 (step @p9948 :rule cong :premises (@p1649 @p9947) :args (@t1377)) % 1.33/1.58 (step @p9949 :rule cong :premises (@p1685 @p9948) :args (@t1378)) % 1.33/1.58 (step @p9950 :rule cong :premises (@p1760 @p9949) :args (@t1379)) % 1.33/1.58 (step @p9951 :rule cong :premises (@p1831 @p9950) :args (@t1380)) % 1.33/1.58 (step @p9952 :rule cong :premises (@p1890 @p9951) :args (@t1381)) % 1.33/1.58 (step @p9953 :rule cong :premises (@p1949 @p9952) :args (@t1382)) % 1.33/1.58 (step @p9954 :rule cong :premises (@p1987 @p9953) :args (@t1383)) % 1.33/1.58 (step @p9955 :rule cong :premises (@p2022 @p9954) :args (@t1384)) % 1.33/1.58 (step @p9956 :rule cong :premises (@p2110 @p9955) :args (@t1385)) % 1.33/1.58 (step @p9957 :rule cong :premises (@p2158 @p9956) :args (@t1386)) % 1.33/1.58 (step @p9958 :rule cong :premises (@p2198 @p9957) :args (@t1387)) % 1.33/1.58 (step @p9959 :rule cong :premises (@p2256 @p9958) :args (@t1388)) % 1.33/1.58 (step @p9960 :rule cong :premises (@p2275 @p9959) :args (@t1389)) % 1.33/1.58 (step @p9961 :rule cong :premises (@p2322 @p9960) :args (@t1390)) % 1.33/1.58 (step @p9962 :rule cong :premises (@p2358 @p9961) :args (@t1391)) % 1.33/1.58 (step @p9963 :rule cong :premises (@p2400 @p9962) :args (@t1392)) % 1.33/1.58 (step @p9964 :rule cong :premises (@p2442 @p9963) :args (@t1393)) % 1.33/1.58 (step @p9965 :rule cong :premises (@p2513 @p9964) :args (@t1394)) % 1.33/1.58 (step @p9966 :rule cong :premises (@p2594 @p9965) :args (@t1395)) % 1.33/1.58 (step @p9967 :rule cong :premises (@p2670 @p9966) :args (@t1396)) % 1.33/1.58 (step @p9968 :rule cong :premises (@p2724 @p9967) :args (@t1397)) % 1.33/1.58 (step @p9969 :rule cong :premises (@p2764 @p9968) :args (@t1398)) % 1.33/1.58 (step @p9970 :rule cong :premises (@p2834 @p9969) :args (@t1399)) % 1.33/1.58 (step @p9971 :rule cong :premises (@p2931 @p9970) :args (@t1400)) % 1.33/1.58 (step @p9972 :rule cong :premises (@p3028 @p9971) :args (@t1401)) % 1.33/1.58 (step @p9973 :rule cong :premises (@p3124 @p9972) :args (@t1402)) % 1.33/1.58 (step @p9974 :rule cong :premises (@p3225 @p9973) :args (@t1403)) % 1.33/1.58 (step @p9975 :rule cong :premises (@p3277 @p9974) :args (@t1404)) % 1.33/1.58 (step @p9976 :rule cong :premises (@p3282 @p9975) :args (@t1405)) % 1.33/1.58 (step @p9977 :rule cong :premises (@p3387 @p9976) :args (@t1406)) % 1.33/1.58 (step @p9978 :rule cong :premises (@p3408 @p9977) :args (@t1407)) % 1.33/1.58 (step @p9979 :rule cong :premises (@p3412 @p9978) :args (@t1408)) % 1.33/1.58 (step @p9980 :rule cong :premises (@p3431 @p9979) :args (@t1409)) % 1.33/1.58 (step @p9981 :rule cong :premises (@p3444 @p9980) :args (@t1410)) % 1.33/1.58 (step @p9982 :rule cong :premises (@p3515 @p9981) :args (@t1411)) % 1.33/1.58 (step @p9983 :rule cong :premises (@p3561 @p9982) :args (@t1412)) % 1.33/1.58 (step @p9984 :rule cong :premises (@p3753 @p9983) :args (@t1413)) % 1.33/1.58 (step @p9985 :rule cong :premises (@p3809 @p9984) :args (@t1414)) % 1.33/1.58 (step @p9986 :rule cong :premises (@p3903 @p9985) :args (@t1415)) % 1.33/1.58 (step @p9987 :rule cong :premises (@p3998 @p9986) :args (@t1416)) % 1.33/1.58 (step @p9988 :rule cong :premises (@p4029 @p9987) :args (@t1417)) % 1.33/1.58 (step @p9989 :rule cong :premises (@p4082 @p9988) :args (@t1418)) % 1.33/1.58 (step @p9990 :rule cong :premises (@p4106 @p9989) :args (@t1419)) % 1.33/1.58 (step @p9991 :rule cong :premises (@p4234 @p9990) :args (@t1420)) % 1.33/1.58 (step @p9992 :rule cong :premises (@p4337 @p9991) :args (@t1421)) % 1.33/1.58 (step @p9993 :rule cong :premises (@p4346 @p9992) :args (@t1422)) % 1.33/1.58 (step @p9994 :rule cong :premises (@p4393 @p9993) :args (@t1423)) % 1.33/1.58 (step @p9995 :rule cong :premises (@p4421 @p9994) :args (@t1424)) % 1.33/1.58 (step @p9996 :rule cong :premises (@p4464 @p9995) :args (@t1425)) % 1.33/1.58 (step @p9997 :rule cong :premises (@p4473 @p9996) :args (@t1426)) % 1.33/1.58 (step @p9998 :rule cong :premises (@p4515 @p9997) :args (@t1427)) % 1.33/1.58 (step @p9999 :rule cong :premises (@p4524 @p9998) :args (@t1428)) % 1.33/1.58 (step @p10000 :rule cong :premises (@p4548 @p9999) :args (@t1429)) % 1.33/1.58 (step @p10001 :rule cong :premises (@p4614 @p10000) :args (@t1430)) % 1.33/1.58 (step @p10002 :rule cong :premises (@p4654 @p10001) :args (@t1431)) % 1.33/1.58 (step @p10003 :rule cong :premises (@p4705 @p10002) :args (@t1432)) % 1.33/1.58 (step @p10004 :rule cong :premises (@p4718 @p10003) :args (@t1433)) % 1.33/1.58 (step @p10005 :rule cong :premises (@p4731 @p10004) :args (@t1434)) % 1.33/1.58 (step @p10006 :rule cong :premises (@p4769 @p10005) :args (@t1435)) % 1.33/1.58 (step @p10007 :rule cong :premises (@p4810 @p10006) :args (@t1436)) % 1.33/1.58 (step @p10008 :rule cong :premises (@p4818 @p10007) :args (@t1437)) % 1.33/1.58 (step @p10009 :rule cong :premises (@p4858 @p10008) :args (@t1438)) % 1.33/1.58 (step @p10010 :rule cong :premises (@p4909 @p10009) :args (@t1439)) % 1.33/1.58 (step @p10011 :rule cong :premises (@p4955 @p10010) :args (@t1440)) % 1.33/1.58 (step @p10012 :rule cong :premises (@p5001 @p10011) :args (@t1441)) % 1.33/1.58 (step @p10013 :rule cong :premises (@p5019 @p10012) :args (@t1442)) % 1.33/1.58 (step @p10014 :rule cong :premises (@p5041 @p10013) :args (@t1443)) % 1.33/1.58 (step @p10015 :rule cong :premises (@p5050 @p10014) :args (@t1444)) % 1.33/1.58 (step @p10016 :rule cong :premises (@p5071 @p10015) :args (@t1445)) % 1.33/1.58 (step @p10017 :rule cong :premises (@p5090 @p10016) :args (@t1446)) % 1.33/1.58 (step @p10018 :rule cong :premises (@p5097 @p10017) :args (@t1447)) % 1.33/1.58 (step @p10019 :rule cong :premises (@p5148 @p10018) :args (@t1448)) % 1.33/1.58 (step @p10020 :rule cong :premises (@p5165 @p10019) :args (@t1449)) % 1.33/1.58 (step @p10021 :rule cong :premises (@p5247 @p10020) :args (@t1450)) % 1.33/1.58 (step @p10022 :rule cong :premises (@p5258 @p10021) :args (@t1451)) % 1.33/1.58 (step @p10023 :rule cong :premises (@p5294 @p10022) :args (@t1452)) % 1.33/1.58 (step @p10024 :rule cong :premises (@p5334 @p10023) :args (@t1453)) % 1.33/1.58 (step @p10025 :rule cong :premises (@p5365 @p10024) :args (@t1454)) % 1.33/1.58 (step @p10026 :rule cong :premises (@p5375 @p10025) :args (@t1455)) % 1.33/1.58 (step @p10027 :rule cong :premises (@p5384 @p10026) :args (@t1456)) % 1.33/1.58 (step @p10028 :rule cong :premises (@p5405 @p10027) :args (@t1457)) % 1.33/1.58 (step @p10029 :rule cong :premises (@p5412 @p10028) :args (@t1458)) % 1.33/1.58 (step @p10030 :rule cong :premises (@p5433 @p10029) :args (@t1459)) % 1.33/1.58 (step @p10031 :rule cong :premises (@p5476 @p10030) :args (@t1460)) % 1.33/1.58 (step @p10032 :rule cong :premises (@p5498 @p10031) :args (@t1461)) % 1.33/1.58 (step @p10033 :rule cong :premises (@p5513 @p10032) :args (@t1462)) % 1.33/1.58 (step @p10034 :rule cong :premises (@p5562 @p10033) :args (@t1463)) % 1.33/1.58 (step @p10035 :rule cong :premises (@p5659 @p10034) :args (@t1464)) % 1.33/1.58 (step @p10036 :rule cong :premises (@p5684 @p10035) :args (@t1465)) % 1.33/1.58 (step @p10037 :rule cong :premises (@p5697 @p10036) :args (@t1466)) % 1.33/1.58 (step @p10038 :rule cong :premises (@p5716 @p10037) :args (@t1467)) % 1.33/1.58 (step @p10039 :rule cong :premises (@p5747 @p10038) :args (@t1468)) % 1.33/1.58 (step @p10040 :rule cong :premises (@p5764 @p10039) :args (@t1469)) % 1.33/1.58 (step @p10041 :rule cong :premises (@p5808 @p10040) :args (@t1470)) % 1.33/1.58 (step @p10042 :rule cong :premises (@p5817 @p10041) :args (@t1471)) % 1.33/1.58 (step @p10043 :rule cong :premises (@p5867 @p10042) :args (@t1472)) % 1.33/1.58 (step @p10044 :rule cong :premises (@p5897 @p10043) :args (@t1473)) % 1.33/1.58 (step @p10045 :rule cong :premises (@p5962 @p10044) :args (@t1474)) % 1.33/1.58 (step @p10046 :rule cong :premises (@p6004 @p10045) :args (@t1475)) % 1.33/1.58 (step @p10047 :rule cong :premises (@p6046 @p10046) :args (@t1476)) % 1.33/1.58 (step @p10048 :rule cong :premises (@p6088 @p10047) :args (@t1477)) % 1.33/1.58 (step @p10049 :rule cong :premises (@p6130 @p10048) :args (@t1478)) % 1.33/1.58 (step @p10050 :rule cong :premises (@p6135 @p10049) :args (@t1479)) % 1.33/1.58 (step @p10051 :rule cong :premises (@p6182 @p10050) :args (@t1480)) % 1.33/1.58 (step @p10052 :rule cong :premises (@p6201 @p10051) :args (@t1481)) % 1.33/1.58 (step @p10053 :rule cong :premises (@p6222 @p10052) :args (@t1482)) % 1.33/1.58 (step @p10054 :rule cong :premises (@p6238 @p10053) :args (@t1483)) % 1.33/1.58 (step @p10055 :rule cong :premises (@p6253 @p10054) :args (@t1484)) % 1.33/1.58 (step @p10056 :rule cong :premises (@p6278 @p10055) :args (@t1485)) % 1.33/1.58 (step @p10057 :rule cong :premises (@p6293 @p10056) :args (@t1486)) % 1.33/1.58 (step @p10058 :rule cong :premises (@p6298 @p10057) :args (@t1487)) % 1.33/1.58 (step @p10059 :rule cong :premises (@p6355 @p10058) :args (@t1488)) % 1.33/1.58 (step @p10060 :rule cong :premises (@p6370 @p10059) :args (@t1489)) % 1.33/1.58 (step @p10061 :rule cong :premises (@p6387 @p10060) :args (@t1490)) % 1.33/1.58 (step @p10062 :rule cong :premises (@p6403 @p10061) :args (@t1491)) % 1.33/1.58 (step @p10063 :rule cong :premises (@p6467 @p10062) :args (@t1492)) % 1.33/1.58 (step @p10064 :rule cong :premises (@p6493 @p10063) :args (@t1493)) % 1.33/1.58 (step @p10065 :rule cong :premises (@p6510 @p10064) :args (@t1494)) % 1.33/1.58 (step @p10066 :rule cong :premises (@p6530 @p10065) :args (@t1495)) % 1.33/1.58 (step @p10067 :rule cong :premises (@p6542 @p10066) :args (@t1496)) % 1.33/1.58 (step @p10068 :rule cong :premises (@p6562 @p10067) :args (@t1497)) % 1.33/1.58 (step @p10069 :rule cong :premises (@p6579 @p10068) :args (@t1498)) % 1.33/1.58 (step @p10070 :rule cong :premises (@p6592 @p10069) :args (@t1499)) % 1.33/1.58 (step @p10071 :rule cong :premises (@p6601 @p10070) :args (@t1500)) % 1.33/1.58 (step @p10072 :rule cong :premises (@p6610 @p10071) :args (@t1501)) % 1.33/1.58 (step @p10073 :rule cong :premises (@p6626 @p10072) :args (@t1502)) % 1.33/1.58 (step @p10074 :rule cong :premises (@p6671 @p10073) :args (@t1503)) % 1.33/1.58 (step @p10075 :rule cong :premises (@p6686 @p10074) :args (@t1504)) % 1.33/1.58 (step @p10076 :rule cong :premises (@p6707 @p10075) :args (@t1505)) % 1.33/1.58 (step @p10077 :rule cong :premises (@p6724 @p10076) :args (@t1506)) % 1.33/1.58 (step @p10078 :rule cong :premises (@p6750 @p10077) :args (@t1507)) % 1.33/1.58 (step @p10079 :rule cong :premises (@p6770 @p10078) :args (@t1508)) % 1.33/1.58 (step @p10080 :rule cong :premises (@p6783 @p10079) :args (@t1509)) % 1.33/1.58 (step @p10081 :rule cong :premises (@p6795 @p10080) :args (@t1510)) % 1.33/1.58 (step @p10082 :rule cong :premises (@p6810 @p10081) :args (@t1511)) % 1.33/1.58 (step @p10083 :rule cong :premises (@p6819 @p10082) :args (@t1512)) % 1.33/1.58 (step @p10084 :rule cong :premises (@p6858 @p10083) :args (@t1513)) % 1.33/1.58 (step @p10085 :rule cong :premises (@p6872 @p10084) :args (@t1514)) % 1.33/1.58 (step @p10086 :rule cong :premises (@p6888 @p10085) :args (@t1515)) % 1.33/1.58 (step @p10087 :rule cong :premises (@p6903 @p10086) :args (@t1516)) % 1.33/1.58 (step @p10088 :rule cong :premises (@p6925 @p10087) :args (@t1517)) % 1.33/1.58 (step @p10089 :rule cong :premises (@p6976 @p10088) :args (@t1518)) % 1.33/1.58 (step @p10090 :rule cong :premises (@p6985 @p10089) :args (@t1519)) % 1.33/1.58 (step @p10091 :rule cong :premises (@p6990 @p10090) :args (@t1520)) % 1.33/1.58 (step @p10092 :rule cong :premises (@p7002 @p10091) :args (@t1521)) % 1.33/1.58 (step @p10093 :rule cong :premises (@p7022 @p10092) :args (@t1522)) % 1.33/1.58 (step @p10094 :rule cong :premises (@p7043 @p10093) :args (@t1523)) % 1.33/1.58 (step @p10095 :rule cong :premises (@p7069 @p10094) :args (@t1524)) % 1.33/1.58 (step @p10096 :rule cong :premises (@p7085 @p10095) :args (@t1525)) % 1.33/1.58 (step @p10097 :rule cong :premises (@p7106 @p10096) :args (@t1526)) % 1.33/1.58 (step @p10098 :rule cong :premises (@p7115 @p10097) :args (@t1527)) % 1.33/1.58 (step @p10099 :rule cong :premises (@p7131 @p10098) :args (@t1528)) % 1.33/1.58 (step @p10100 :rule cong :premises (@p7147 @p10099) :args (@t1529)) % 1.33/1.58 (step @p10101 :rule cong :premises (@p7166 @p10100) :args (@t1530)) % 1.33/1.58 (step @p10102 :rule cong :premises (@p7190 @p10101) :args (@t1531)) % 1.33/1.58 (step @p10103 :rule cong :premises (@p7210 @p10102) :args (@t1532)) % 1.33/1.58 (step @p10104 :rule cong :premises (@p7235 @p10103) :args (@t1533)) % 1.33/1.58 (step @p10105 :rule cong :premises (@p7245 @p10104) :args (@t1534)) % 1.33/1.58 (step @p10106 :rule cong :premises (@p7287 @p10105) :args (@t1535)) % 1.33/1.58 (step @p10107 :rule cong :premises (@p7317 @p10106) :args (@t1536)) % 1.33/1.58 (step @p10108 :rule cong :premises (@p7333 @p10107) :args (@t1537)) % 1.33/1.58 (step @p10109 :rule cong :premises (@p7346 @p10108) :args (@t1538)) % 1.33/1.58 (step @p10110 :rule cong :premises (@p7359 @p10109) :args (@t1539)) % 1.33/1.58 (step @p10111 :rule cong :premises (@p7369 @p10110) :args (@t1540)) % 1.33/1.58 (step @p10112 :rule cong :premises (@p7374 @p10111) :args (@t1541)) % 1.33/1.58 (step @p10113 :rule cong :premises (@p7414 @p10112) :args (@t1542)) % 1.33/1.58 (step @p10114 :rule cong :premises (@p7434 @p10113) :args (@t1543)) % 1.33/1.58 (step @p10115 :rule cong :premises (@p7438 @p10114) :args (@t1544)) % 1.33/1.58 (step @p10116 :rule cong :premises (@p7561 @p10115) :args (@t1545)) % 1.33/1.58 (step @p10117 :rule cong :premises (@p7717 @p10116) :args (@t1546)) % 1.33/1.58 (step @p10118 :rule cong :premises (@p7779 @p10117) :args (@t1547)) % 1.33/1.58 (step @p10119 :rule cong :premises (@p7791 @p10118) :args (@t1548)) % 1.33/1.58 (step @p10120 :rule cong :premises (@p7828 @p10119) :args (@t1549)) % 1.33/1.58 (step @p10121 :rule cong :premises (@p7858 @p10120) :args (@t1550)) % 1.33/1.58 (step @p10122 :rule cong :premises (@p7929 @p10121) :args (@t1551)) % 1.33/1.58 (step @p10123 :rule cong :premises (@p7938 @p10122) :args (@t1552)) % 1.33/1.58 (step @p10124 :rule cong :premises (@p7950 @p10123) :args (@t1553)) % 1.33/1.58 (step @p10125 :rule cong :premises (@p7959 @p10124) :args (@t1554)) % 1.33/1.58 (step @p10126 :rule cong :premises (@p8020 @p10125) :args (@t1555)) % 1.33/1.58 (step @p10127 :rule cong :premises (@p8093 @p10126) :args (@t1556)) % 1.33/1.58 (step @p10128 :rule cong :premises (@p8139 @p10127) :args (@t1557)) % 1.33/1.58 (step @p10129 :rule cong :premises (@p8178 @p10128) :args (@t1558)) % 1.33/1.58 (step @p10130 :rule cong :premises (@p8201 @p10129) :args (@t1559)) % 1.33/1.58 (step @p10131 :rule cong :premises (@p8217 @p10130) :args (@t1560)) % 1.33/1.58 (step @p10132 :rule cong :premises (@p8258 @p10131) :args (@t1561)) % 1.33/1.58 (step @p10133 :rule cong :premises (@p8313 @p10132) :args (@t1562)) % 1.33/1.58 (step @p10134 :rule cong :premises (@p8344 @p10133) :args (@t1563)) % 1.33/1.58 (step @p10135 :rule cong :premises (@p8353 @p10134) :args (@t1564)) % 1.33/1.58 (step @p10136 :rule cong :premises (@p8361 @p10135) :args (@t1565)) % 1.33/1.58 (step @p10137 :rule cong :premises (@p8372 @p10136) :args (@t1566)) % 1.33/1.58 (step @p10138 :rule cong :premises (@p8380 @p10137) :args (@t1567)) % 1.33/1.58 (step @p10139 :rule cong :premises (@p8397 @p10138) :args (@t1568)) % 1.33/1.58 (step @p10140 :rule cong :premises (@p8436 @p10139) :args (@t1569)) % 1.33/1.58 (step @p10141 :rule cong :premises (@p8440 @p10140) :args (@t1570)) % 1.33/1.58 (step @p10142 :rule cong :premises (@p8455 @p10141) :args (@t1571)) % 1.33/1.58 (step @p10143 :rule cong :premises (@p8459 @p10142) :args (@t1572)) % 1.33/1.58 (step @p10144 :rule cong :premises (@p8489 @p10143) :args (@t1573)) % 1.33/1.58 (step @p10145 :rule cong :premises (@p8514 @p10144) :args (@t1574)) % 1.33/1.58 (step @p10146 :rule cong :premises (@p8528 @p10145) :args (@t1575)) % 1.33/1.58 (step @p10147 :rule cong :premises (@p8537 @p10146) :args (@t1576)) % 1.33/1.58 (step @p10148 :rule cong :premises (@p8558 @p10147) :args (@t1577)) % 1.33/1.58 (step @p10149 :rule cong :premises (@p8596 @p10148) :args (@t1578)) % 1.33/1.58 (step @p10150 :rule cong :premises (@p8629 @p10149) :args (@t1579)) % 1.33/1.58 (step @p10151 :rule cong :premises (@p8688 @p10150) :args (@t1580)) % 1.33/1.58 (step @p10152 :rule cong :premises (@p8702 @p10151) :args (@t1581)) % 1.33/1.58 (step @p10153 :rule cong :premises (@p8717 @p10152) :args (@t1582)) % 1.33/1.58 (step @p10154 :rule cong :premises (@p8722 @p10153) :args (@t1583)) % 1.33/1.58 (step @p10155 :rule cong :premises (@p8740 @p10154) :args (@t1584)) % 1.33/1.58 (step @p10156 :rule cong :premises (@p8758 @p10155) :args (@t1585)) % 1.33/1.58 (step @p10157 :rule cong :premises (@p8782 @p10156) :args (@t1586)) % 1.33/1.58 (step @p10158 :rule cong :premises (@p8809 @p10157) :args (@t1587)) % 1.33/1.58 (step @p10159 :rule cong :premises (@p8864 @p10158) :args (@t1588)) % 1.33/1.58 (step @p10160 :rule cong :premises (@p8873 @p10159) :args (@t1589)) % 1.33/1.58 (step @p10161 :rule refl :args (tptp.emptyinunitempty)) % 1.33/1.58 (step @p10162 :rule cong :premises (@p10161 @p10160) :args (@t1590)) % 1.33/1.58 (step @p10163 :rule cong :premises (@p8894 @p10162) :args (@t1591)) % 1.33/1.58 (step @p10164 :rule cong :premises (@p8934 @p10163) :args (@t1592)) % 1.33/1.58 (step @p10165 :rule cong :premises (@p8982 @p10164) :args (@t1593)) % 1.33/1.58 (step @p10166 :rule cong :premises (@p8996 @p10165) :args (@t1594)) % 1.33/1.58 (step @p10167 :rule cong :premises (@p9030 @p10166) :args (@t1595)) % 1.33/1.58 (step @p10168 :rule cong :premises (@p9035 @p10167) :args (@t1596)) % 1.33/1.58 (step @p10169 :rule cong :premises (@p9048 @p10168) :args (@t1597)) % 1.33/1.58 (step @p10170 :rule cong :premises (@p9063 @p10169) :args (@t1598)) % 1.33/1.58 (step @p10171 :rule cong :premises (@p9095 @p10170) :args (@t1599)) % 1.33/1.58 (step @p10172 :rule cong :premises (@p9104 @p10171) :args (@t1600)) % 1.33/1.58 (step @p10173 :rule cong :premises (@p9115 @p10172) :args (@t1601)) % 1.33/1.58 (step @p10174 :rule cong :premises (@p9130 @p10173) :args (@t1602)) % 1.33/1.58 (step @p10175 :rule cong :premises (@p9166 @p10174) :args (@t1603)) % 1.33/1.58 (step @p10176 :rule cong :premises (@p9175 @p10175) :args (@t1604)) % 1.33/1.58 (step @p10177 :rule cong :premises (@p9195 @p10176) :args (@t1605)) % 1.33/1.58 (step @p10178 :rule cong :premises (@p9207 @p10177) :args (@t1606)) % 1.33/1.58 (step @p10179 :rule cong :premises (@p9224 @p10178) :args (@t1607)) % 1.33/1.58 (step @p10180 :rule cong :premises (@p9274 @p10179) :args (@t1608)) % 1.33/1.58 (step @p10181 :rule cong :premises (@p9545 @p10180) :args (@t1609)) % 1.33/1.58 (step @p10182 :rule cong :premises (@p9590 @p10181) :args (@t1610)) % 1.33/1.58 (step @p10183 :rule cong :premises (@p9677 @p10182) :args (@t1611)) % 1.33/1.58 (step @p10184 :rule cong :premises (@p9763 @p10183) :args (@t1612)) % 1.33/1.58 (step @p10185 :rule cong :premises (@p9783 @p10184) :args (@t1613)) % 1.33/1.58 (step @p10186 :rule refl :args (tptp.omega0Ax)) % 1.33/1.58 (step @p10187 :rule cong :premises (@p10186 @p10185) :args (@t1614)) % 1.33/1.58 (step @p10188 :rule cong :premises (@p9802 @p10187) :args (@t1615)) % 1.33/1.58 (step @p10189 :rule cong :premises (@p9815 @p10188) :args (@t1616)) % 1.33/1.58 (step @p10190 :rule cong :premises (@p9825 @p10189) :args (@t1617)) % 1.33/1.58 (step @p10191 :rule cong :premises (@p9829 @p10190) :args (@t1618)) % 1.33/1.58 (step @p10192 :rule cong :premises (@p9840 @p10191) :args (@t1619)) % 1.33/1.58 (step @p10193 :rule cong :premises (@p10192) :args (@t1620)) % 1.33/1.58 (step @p10194 :rule trans :premises (@p10193 @p9845 @p389)) % 1.33/1.58 (step @p10195 :rule eq_resolve :premises (@p258 @p10194)) % 1.33/1.58 (step @p10196 :rule not_implies_elim2 :premises (@p10195)) % 1.33/1.58 (step @p10197 :rule not_implies_elim2 :premises (@p10196)) % 1.33/1.58 (step @p10198 :rule not_implies_elim2 :premises (@p10197)) % 1.33/1.58 (step @p10199 :rule not_implies_elim2 :premises (@p10198)) % 1.33/1.58 (step @p10200 :rule not_implies_elim2 :premises (@p10199)) % 1.33/1.58 (step @p10201 :rule not_implies_elim2 :premises (@p10200)) % 1.33/1.58 (step @p10202 :rule not_implies_elim2 :premises (@p10201)) % 1.33/1.58 (step @p10203 :rule not_implies_elim2 :premises (@p10202)) % 1.33/1.58 (step @p10204 :rule not_implies_elim2 :premises (@p10203)) % 1.33/1.58 (step @p10205 :rule not_implies_elim2 :premises (@p10204)) % 1.33/1.58 (step @p10206 :rule not_implies_elim2 :premises (@p10205)) % 1.33/1.58 (step @p10207 :rule not_implies_elim2 :premises (@p10206)) % 1.33/1.58 (step @p10208 :rule not_implies_elim2 :premises (@p10207)) % 1.33/1.58 (step @p10209 :rule not_implies_elim2 :premises (@p10208)) % 1.33/1.58 (step @p10210 :rule not_implies_elim2 :premises (@p10209)) % 1.33/1.58 (step @p10211 :rule not_implies_elim2 :premises (@p10210)) % 1.33/1.58 (step @p10212 :rule not_implies_elim2 :premises (@p10211)) % 1.33/1.58 (step @p10213 :rule not_implies_elim2 :premises (@p10212)) % 1.33/1.58 (step @p10214 :rule not_implies_elim2 :premises (@p10213)) % 1.33/1.58 (step @p10215 :rule not_implies_elim2 :premises (@p10214)) % 1.33/1.58 (step @p10216 :rule not_implies_elim2 :premises (@p10215)) % 1.33/1.58 (step @p10217 :rule not_implies_elim2 :premises (@p10216)) % 1.33/1.58 (step @p10218 :rule not_implies_elim2 :premises (@p10217)) % 1.33/1.58 (step @p10219 :rule not_implies_elim2 :premises (@p10218)) % 1.33/1.58 (step @p10220 :rule not_implies_elim2 :premises (@p10219)) % 1.33/1.58 (step @p10221 :rule not_implies_elim2 :premises (@p10220)) % 1.33/1.58 (step @p10222 :rule not_implies_elim2 :premises (@p10221)) % 1.33/1.58 (step @p10223 :rule not_implies_elim2 :premises (@p10222)) % 1.33/1.58 (step @p10224 :rule not_implies_elim2 :premises (@p10223)) % 1.33/1.58 (step @p10225 :rule not_implies_elim2 :premises (@p10224)) % 1.33/1.58 (step @p10226 :rule not_implies_elim2 :premises (@p10225)) % 1.33/1.58 (step @p10227 :rule not_implies_elim2 :premises (@p10226)) % 1.33/1.58 (step @p10228 :rule not_implies_elim2 :premises (@p10227)) % 1.33/1.58 (step @p10229 :rule not_implies_elim2 :premises (@p10228)) % 1.33/1.58 (step @p10230 :rule not_implies_elim2 :premises (@p10229)) % 1.33/1.58 (step @p10231 :rule not_implies_elim2 :premises (@p10230)) % 1.33/1.58 (step @p10232 :rule not_implies_elim2 :premises (@p10231)) % 1.33/1.58 (step @p10233 :rule not_implies_elim2 :premises (@p10232)) % 1.33/1.58 (step @p10234 :rule not_implies_elim2 :premises (@p10233)) % 1.33/1.58 (step @p10235 :rule not_implies_elim2 :premises (@p10234)) % 1.33/1.58 (step @p10236 :rule not_implies_elim2 :premises (@p10235)) % 1.33/1.58 (step @p10237 :rule not_implies_elim2 :premises (@p10236)) % 1.33/1.58 (step @p10238 :rule not_implies_elim2 :premises (@p10237)) % 1.33/1.58 (step @p10239 :rule not_implies_elim2 :premises (@p10238)) % 1.33/1.58 (step @p10240 :rule not_implies_elim2 :premises (@p10239)) % 1.33/1.58 (step @p10241 :rule not_implies_elim2 :premises (@p10240)) % 1.33/1.58 (step @p10242 :rule not_implies_elim2 :premises (@p10241)) % 1.33/1.58 (step @p10243 :rule not_implies_elim2 :premises (@p10242)) % 1.33/1.58 (step @p10244 :rule not_implies_elim2 :premises (@p10243)) % 1.33/1.58 (step @p10245 :rule not_implies_elim2 :premises (@p10244)) % 1.33/1.58 (step @p10246 :rule not_implies_elim2 :premises (@p10245)) % 1.33/1.58 (step @p10247 :rule not_implies_elim2 :premises (@p10246)) % 1.33/1.58 (step @p10248 :rule not_implies_elim2 :premises (@p10247)) % 1.33/1.58 (step @p10249 :rule not_implies_elim2 :premises (@p10248)) % 1.33/1.58 (step @p10250 :rule not_implies_elim2 :premises (@p10249)) % 1.33/1.58 (step @p10251 :rule not_implies_elim2 :premises (@p10250)) % 1.33/1.58 (step @p10252 :rule not_implies_elim2 :premises (@p10251)) % 1.33/1.58 (step @p10253 :rule not_implies_elim2 :premises (@p10252)) % 1.33/1.58 (step @p10254 :rule not_implies_elim2 :premises (@p10253)) % 1.33/1.58 (step @p10255 :rule not_implies_elim2 :premises (@p10254)) % 1.33/1.58 (step @p10256 :rule not_implies_elim2 :premises (@p10255)) % 1.33/1.58 (step @p10257 :rule not_implies_elim2 :premises (@p10256)) % 1.33/1.58 (step @p10258 :rule not_implies_elim2 :premises (@p10257)) % 1.33/1.58 (step @p10259 :rule not_implies_elim2 :premises (@p10258)) % 1.33/1.58 (step @p10260 :rule not_implies_elim2 :premises (@p10259)) % 1.33/1.58 (step @p10261 :rule not_implies_elim2 :premises (@p10260)) % 1.33/1.58 (step @p10262 :rule not_implies_elim2 :premises (@p10261)) % 1.33/1.58 (step @p10263 :rule not_implies_elim2 :premises (@p10262)) % 1.33/1.58 (step @p10264 :rule not_implies_elim2 :premises (@p10263)) % 1.33/1.58 (step @p10265 :rule not_implies_elim2 :premises (@p10264)) % 1.33/1.58 (step @p10266 :rule not_implies_elim2 :premises (@p10265)) % 1.33/1.58 (step @p10267 :rule not_implies_elim2 :premises (@p10266)) % 1.33/1.58 (step @p10268 :rule not_implies_elim2 :premises (@p10267)) % 1.33/1.58 (step @p10269 :rule not_implies_elim2 :premises (@p10268)) % 1.33/1.58 (step @p10270 :rule not_implies_elim2 :premises (@p10269)) % 1.33/1.58 (step @p10271 :rule not_implies_elim2 :premises (@p10270)) % 1.33/1.58 (step @p10272 :rule not_implies_elim2 :premises (@p10271)) % 1.33/1.58 (step @p10273 :rule not_implies_elim2 :premises (@p10272)) % 1.33/1.58 (step @p10274 :rule not_implies_elim2 :premises (@p10273)) % 1.33/1.58 (step @p10275 :rule not_implies_elim2 :premises (@p10274)) % 1.33/1.58 (step @p10276 :rule not_implies_elim2 :premises (@p10275)) % 1.33/1.58 (step @p10277 :rule not_implies_elim2 :premises (@p10276)) % 1.33/1.58 (step @p10278 :rule not_implies_elim2 :premises (@p10277)) % 1.33/1.58 (step @p10279 :rule not_implies_elim2 :premises (@p10278)) % 1.33/1.58 (step @p10280 :rule not_implies_elim2 :premises (@p10279)) % 1.33/1.58 (step @p10281 :rule not_implies_elim2 :premises (@p10280)) % 1.33/1.58 (step @p10282 :rule not_implies_elim2 :premises (@p10281)) % 1.33/1.58 (step @p10283 :rule not_implies_elim2 :premises (@p10282)) % 1.33/1.58 (step @p10284 :rule not_implies_elim2 :premises (@p10283)) % 1.33/1.58 (step @p10285 :rule not_implies_elim2 :premises (@p10284)) % 1.33/1.58 (step @p10286 :rule not_implies_elim2 :premises (@p10285)) % 1.33/1.58 (step @p10287 :rule not_implies_elim2 :premises (@p10286)) % 1.33/1.58 (step @p10288 :rule not_implies_elim2 :premises (@p10287)) % 1.33/1.58 (step @p10289 :rule not_implies_elim2 :premises (@p10288)) % 1.33/1.58 (step @p10290 :rule not_implies_elim2 :premises (@p10289)) % 1.33/1.58 (step @p10291 :rule not_implies_elim2 :premises (@p10290)) % 1.33/1.58 (step @p10292 :rule not_implies_elim2 :premises (@p10291)) % 1.33/1.58 (step @p10293 :rule not_implies_elim2 :premises (@p10292)) % 1.33/1.58 (step @p10294 :rule not_implies_elim2 :premises (@p10293)) % 1.33/1.58 (step @p10295 :rule not_implies_elim2 :premises (@p10294)) % 1.33/1.58 (step @p10296 :rule not_implies_elim2 :premises (@p10295)) % 1.33/1.58 (step @p10297 :rule not_implies_elim2 :premises (@p10296)) % 1.33/1.58 (step @p10298 :rule not_implies_elim2 :premises (@p10297)) % 1.33/1.58 (step @p10299 :rule not_implies_elim2 :premises (@p10298)) % 1.33/1.58 (step @p10300 :rule not_implies_elim2 :premises (@p10299)) % 1.33/1.58 (step @p10301 :rule not_implies_elim2 :premises (@p10300)) % 1.33/1.58 (step @p10302 :rule not_implies_elim2 :premises (@p10301)) % 1.33/1.58 (step @p10303 :rule not_implies_elim2 :premises (@p10302)) % 1.33/1.58 (step @p10304 :rule not_implies_elim2 :premises (@p10303)) % 1.33/1.58 (step @p10305 :rule not_implies_elim2 :premises (@p10304)) % 1.33/1.58 (step @p10306 :rule not_implies_elim2 :premises (@p10305)) % 1.33/1.58 (step @p10307 :rule not_implies_elim2 :premises (@p10306)) % 1.33/1.58 (step @p10308 :rule not_implies_elim2 :premises (@p10307)) % 1.33/1.58 (step @p10309 :rule not_implies_elim2 :premises (@p10308)) % 1.33/1.58 (step @p10310 :rule not_implies_elim2 :premises (@p10309)) % 1.33/1.58 (step @p10311 :rule not_implies_elim2 :premises (@p10310)) % 1.33/1.58 (step @p10312 :rule not_implies_elim2 :premises (@p10311)) % 1.33/1.58 (step @p10313 :rule not_implies_elim2 :premises (@p10312)) % 1.33/1.58 (step @p10314 :rule not_implies_elim2 :premises (@p10313)) % 1.33/1.58 (step @p10315 :rule not_implies_elim2 :premises (@p10314)) % 1.33/1.58 (step @p10316 :rule not_implies_elim2 :premises (@p10315)) % 1.33/1.58 (step @p10317 :rule not_implies_elim2 :premises (@p10316)) % 1.33/1.58 (step @p10318 :rule not_implies_elim2 :premises (@p10317)) % 1.33/1.58 (step @p10319 :rule not_implies_elim2 :premises (@p10318)) % 1.33/1.58 (step @p10320 :rule not_implies_elim2 :premises (@p10319)) % 1.33/1.58 (step @p10321 :rule not_implies_elim2 :premises (@p10320)) % 1.33/1.58 (step @p10322 :rule not_implies_elim2 :premises (@p10321)) % 1.33/1.58 (step @p10323 :rule not_implies_elim2 :premises (@p10322)) % 1.33/1.58 (step @p10324 :rule not_implies_elim2 :premises (@p10323)) % 1.33/1.58 (step @p10325 :rule not_implies_elim2 :premises (@p10324)) % 1.33/1.58 (step @p10326 :rule not_implies_elim2 :premises (@p10325)) % 1.33/1.58 (step @p10327 :rule not_implies_elim2 :premises (@p10326)) % 1.33/1.58 (step @p10328 :rule not_implies_elim2 :premises (@p10327)) % 1.33/1.58 (step @p10329 :rule not_implies_elim2 :premises (@p10328)) % 1.33/1.58 (step @p10330 :rule not_implies_elim2 :premises (@p10329)) % 1.33/1.58 (step @p10331 :rule not_implies_elim2 :premises (@p10330)) % 1.33/1.58 (step @p10332 :rule not_implies_elim2 :premises (@p10331)) % 1.33/1.58 (step @p10333 :rule not_implies_elim2 :premises (@p10332)) % 1.33/1.58 (step @p10334 :rule not_implies_elim2 :premises (@p10333)) % 1.33/1.58 (step @p10335 :rule not_implies_elim2 :premises (@p10334)) % 1.33/1.58 (step @p10336 :rule not_implies_elim2 :premises (@p10335)) % 1.33/1.58 (step @p10337 :rule not_implies_elim2 :premises (@p10336)) % 1.33/1.58 (step @p10338 :rule not_implies_elim2 :premises (@p10337)) % 1.33/1.58 (step @p10339 :rule not_implies_elim2 :premises (@p10338)) % 1.33/1.58 (step @p10340 :rule not_implies_elim2 :premises (@p10339)) % 1.33/1.58 (step @p10341 :rule not_implies_elim2 :premises (@p10340)) % 1.33/1.58 (step @p10342 :rule not_implies_elim2 :premises (@p10341)) % 1.33/1.58 (step @p10343 :rule not_implies_elim2 :premises (@p10342)) % 1.33/1.58 (step @p10344 :rule not_implies_elim2 :premises (@p10343)) % 1.33/1.58 (step @p10345 :rule not_implies_elim2 :premises (@p10344)) % 1.33/1.58 (step @p10346 :rule not_implies_elim2 :premises (@p10345)) % 1.33/1.58 (step @p10347 :rule not_implies_elim2 :premises (@p10346)) % 1.33/1.58 (step @p10348 :rule not_implies_elim2 :premises (@p10347)) % 1.33/1.58 (step @p10349 :rule not_implies_elim2 :premises (@p10348)) % 1.33/1.58 (step @p10350 :rule not_implies_elim2 :premises (@p10349)) % 1.33/1.58 (step @p10351 :rule not_implies_elim2 :premises (@p10350)) % 1.33/1.58 (step @p10352 :rule not_implies_elim2 :premises (@p10351)) % 1.33/1.58 (step @p10353 :rule not_implies_elim2 :premises (@p10352)) % 1.33/1.58 (step @p10354 :rule not_implies_elim2 :premises (@p10353)) % 1.33/1.58 (step @p10355 :rule not_implies_elim2 :premises (@p10354)) % 1.33/1.58 (step @p10356 :rule not_implies_elim2 :premises (@p10355)) % 1.33/1.58 (step @p10357 :rule not_implies_elim2 :premises (@p10356)) % 1.33/1.58 (step @p10358 :rule not_implies_elim2 :premises (@p10357)) % 1.33/1.58 (step @p10359 :rule not_implies_elim2 :premises (@p10358)) % 1.33/1.58 (step @p10360 :rule not_implies_elim2 :premises (@p10359)) % 1.33/1.58 (step @p10361 :rule not_implies_elim2 :premises (@p10360)) % 1.33/1.58 (step @p10362 :rule not_implies_elim2 :premises (@p10361)) % 1.33/1.58 (step @p10363 :rule not_implies_elim2 :premises (@p10362)) % 1.33/1.58 (step @p10364 :rule not_implies_elim2 :premises (@p10363)) % 1.33/1.58 (step @p10365 :rule not_implies_elim2 :premises (@p10364)) % 1.33/1.58 (step @p10366 :rule not_implies_elim2 :premises (@p10365)) % 1.33/1.58 (step @p10367 :rule not_implies_elim2 :premises (@p10366)) % 1.33/1.58 (step @p10368 :rule not_implies_elim2 :premises (@p10367)) % 1.33/1.58 (step @p10369 :rule not_implies_elim2 :premises (@p10368)) % 1.33/1.58 (step @p10370 :rule not_implies_elim2 :premises (@p10369)) % 1.33/1.58 (step @p10371 :rule not_implies_elim2 :premises (@p10370)) % 1.33/1.58 (step @p10372 :rule not_implies_elim2 :premises (@p10371)) % 1.33/1.58 (step @p10373 :rule not_implies_elim2 :premises (@p10372)) % 1.33/1.58 (step @p10374 :rule not_implies_elim2 :premises (@p10373)) % 1.33/1.58 (step @p10375 :rule not_implies_elim2 :premises (@p10374)) % 1.33/1.58 (step @p10376 :rule not_implies_elim2 :premises (@p10375)) % 1.33/1.58 (step @p10377 :rule not_implies_elim2 :premises (@p10376)) % 1.33/1.58 (step @p10378 :rule not_implies_elim2 :premises (@p10377)) % 1.33/1.58 (step @p10379 :rule not_implies_elim2 :premises (@p10378)) % 1.33/1.58 (step @p10380 :rule not_implies_elim2 :premises (@p10379)) % 1.33/1.58 (step @p10381 :rule not_implies_elim2 :premises (@p10380)) % 1.33/1.58 (step @p10382 :rule not_implies_elim2 :premises (@p10381)) % 1.33/1.58 (step @p10383 :rule not_implies_elim2 :premises (@p10382)) % 1.33/1.58 (step @p10384 :rule not_implies_elim2 :premises (@p10383)) % 1.33/1.58 (step @p10385 :rule not_implies_elim2 :premises (@p10384)) % 1.33/1.58 (step @p10386 :rule not_implies_elim2 :premises (@p10385)) % 1.33/1.58 (step @p10387 :rule not_implies_elim2 :premises (@p10386)) % 1.33/1.58 (step @p10388 :rule not_implies_elim2 :premises (@p10387)) % 1.33/1.58 (step @p10389 :rule not_implies_elim2 :premises (@p10388)) % 1.33/1.58 (step @p10390 :rule not_implies_elim2 :premises (@p10389)) % 1.33/1.58 (step @p10391 :rule not_implies_elim2 :premises (@p10390)) % 1.33/1.58 (step @p10392 :rule not_implies_elim2 :premises (@p10391)) % 1.33/1.58 (step @p10393 :rule not_implies_elim2 :premises (@p10392)) % 1.33/1.58 (step @p10394 :rule not_implies_elim2 :premises (@p10393)) % 1.33/1.58 (step @p10395 :rule not_implies_elim2 :premises (@p10394)) % 1.33/1.58 (step @p10396 :rule not_implies_elim2 :premises (@p10395)) % 1.33/1.58 (step @p10397 :rule not_implies_elim2 :premises (@p10396)) % 1.33/1.58 (step @p10398 :rule not_implies_elim2 :premises (@p10397)) % 1.33/1.58 (step @p10399 :rule not_implies_elim2 :premises (@p10398)) % 1.33/1.58 (step @p10400 :rule not_implies_elim2 :premises (@p10399)) % 1.33/1.58 (step @p10401 :rule not_implies_elim2 :premises (@p10400)) % 1.33/1.58 (step @p10402 :rule not_implies_elim2 :premises (@p10401)) % 1.33/1.58 (step @p10403 :rule not_implies_elim2 :premises (@p10402)) % 1.33/1.58 (step @p10404 :rule not_implies_elim2 :premises (@p10403)) % 1.33/1.58 (step @p10405 :rule not_implies_elim2 :premises (@p10404)) % 1.33/1.58 (step @p10406 :rule not_implies_elim2 :premises (@p10405)) % 1.33/1.58 (step @p10407 :rule not_implies_elim2 :premises (@p10406)) % 1.33/1.58 (step @p10408 :rule not_implies_elim2 :premises (@p10407)) % 1.33/1.58 (step @p10409 :rule not_implies_elim2 :premises (@p10408)) % 1.33/1.58 (step @p10410 :rule not_implies_elim2 :premises (@p10409)) % 1.33/1.58 (step @p10411 :rule not_implies_elim2 :premises (@p10410)) % 1.33/1.58 (step @p10412 :rule not_implies_elim2 :premises (@p10411)) % 1.33/1.58 (step @p10413 :rule not_implies_elim2 :premises (@p10412)) % 1.33/1.58 (step @p10414 :rule not_implies_elim2 :premises (@p10413)) % 1.33/1.58 (step @p10415 :rule not_implies_elim2 :premises (@p10414)) % 1.33/1.58 (step @p10416 :rule not_implies_elim2 :premises (@p10415)) % 1.33/1.58 (step @p10417 :rule not_implies_elim2 :premises (@p10416)) % 1.33/1.58 (step @p10418 :rule not_implies_elim2 :premises (@p10417)) % 1.33/1.58 (step @p10419 :rule not_implies_elim2 :premises (@p10418)) % 1.33/1.58 (step @p10420 :rule not_implies_elim2 :premises (@p10419)) % 1.33/1.58 (step @p10421 :rule not_implies_elim2 :premises (@p10420)) % 1.33/1.58 (step @p10422 :rule not_implies_elim2 :premises (@p10421)) % 1.33/1.58 (step @p10423 :rule not_implies_elim2 :premises (@p10422)) % 1.33/1.58 (step @p10424 :rule not_implies_elim2 :premises (@p10423)) % 1.33/1.58 (step @p10425 :rule not_implies_elim2 :premises (@p10424)) % 1.33/1.58 (step @p10426 :rule not_implies_elim2 :premises (@p10425)) % 1.33/1.58 (step @p10427 :rule not_implies_elim2 :premises (@p10426)) % 1.33/1.58 (step @p10428 :rule not_implies_elim2 :premises (@p10427)) % 1.33/1.58 (step @p10429 :rule not_implies_elim2 :premises (@p10428)) % 1.33/1.58 (step @p10430 :rule not_implies_elim2 :premises (@p10429)) % 1.33/1.58 (step @p10431 :rule not_implies_elim2 :premises (@p10430)) % 1.33/1.58 (step @p10432 :rule not_implies_elim2 :premises (@p10431)) % 1.33/1.58 (step @p10433 :rule skolemize :premises (@p10432)) % 1.33/1.58 (step @p10434 :rule bool-double-not-elim :args (@t5276)) % 1.33/1.58 (step @p10435 :rule refl :args (@t5282)) % 1.33/1.58 (step @p10436 :rule nary_cong :premises (@p10435 @p10434) :args ((or @t5282 (not @t5279)))) % 1.33/1.58 (step @p10437 :rule cnf_or_neg :args (@t5282 4)) % 1.33/1.58 (step @p10438 :rule eq_resolve :premises (@p10437 @p10436)) % 1.33/1.58 (step @p10439 :rule reordering :premises (@p10438) :args ((or @t5276 @t5282))) % 1.33/1.58 (step @p10440 :rule chain_m_resolution :premises (@p10439 @p10433) :args (@t5276 @t5283 @t5284)) % 1.33/1.58 (step @p10441 :rule not_implies_elim1 :premises (@p10290)) % 1.33/1.58 (step @p10442 :rule instantiate :premises (@p10441) :args ((@list @t5274 @t5273 @t5275))) % 1.33/1.58 (step @p10443 :rule not_implies_elim1 :premises (@p10277)) % 1.33/1.58 (step @p10444 :rule instantiate :premises (@p10443) :args ((@list @t5273 @t5277 @t5275))) % 1.33/1.58 (step @p10445 :rule cnf_or_neg :args (@t5282 5)) % 1.33/1.58 (step @p10446 :rule chain_m_resolution :premises (@p10445 @p10433) :args ((not @t5278) @t5283 @t5284)) % 1.33/1.58 (step @p10447 :rule cnf_or_pos :args (@t5287)) % 1.33/1.58 (step @p10448 :rule reordering :premises (@p10447) :args ((or @t5278 @t5286 (not @t5287)))) % 1.33/1.58 (step @p10449 :rule chain_m_resolution :premises (@p10448 @p10446 @p10444) :args (@t5286 (@list true false) (@list @t5278 @t5287))) % 1.33/1.58 (step @p10450 :rule cnf_or_pos :args (@t5288)) % 1.33/1.58 (step @p10451 :rule reordering :premises (@p10450) :args ((or @t5279 @t5285 (not @t5288)))) % 1.33/1.58 (step @p10452 false :rule chain_m_resolution :premises (@p10451 @p10449 @p10442 @p10440) :args (false (@list true false false) (@list @t5285 @t5288 @t5276))) % 1.33/1.58 ) % 1.33/1.58 % SZS output end Proof % 1.33/1.58 % cvc5 exiting %------------------------------------------------------------------------------